QUESTION 11 POINT The scatter plot below shows data relating total income and the number of children a family has Which of the following patterns does the scatter plot show The horizontal x axis represents the Number of children and ranges from 0 to 7, in increments of 1 The vertical y axis represents Income in thousands, and ranges from 0 to 200, in increments of 50 The coordinates of the points are as follows (1, 100), (1, 150), (2, 50), (2, 200), (3, 100), (3, 150), (4, 50), (4, 100), (5, 150), (5, 200), (6, 50), (6, 200), (7, 100) and (7, 150) Select the correct answer below Positive linear pattern Positive linear pattern with deviations Negative linear pattern Negative linear pattern with deviations No pattern QUESTION 21 POINT A researcher claims that the proportion of cars with manual transmission is less than10 To test this claim, a survey checked1000randomly selected cars Of those cars,95had a manual transmission The following is the setup for the hypothesis test H0 p 0 10 Ha p 0 10 Find the test statistic for this hypothesis test for a proportion Round your answer to2decimal places Provide your answer below Test Statistic QUESTION 31 POINT A medical experiment on tumor growth gives the following data table x y 41 36 43 50 56 87 79 98 114 142 The least squares regression line was found Using technology, it was determined that the total sum of squares (SST) was7019 2and the sum of squares of regression (SSR) was6503 8 CalculateR2, rounded to three decimal places Provide your answer below QUESTION 4 Lisa has collected data to find that the number of pages per book on a bookshelf has a normal distribution What is the probability that a randomly selected book has fewer than145pages if the mean () is195pages and the standard deviation () is25pages Use the empirical rule Enter your answer as a percent rounded to two decimal places if necessary Provide your answer below QUESTION 51 POINT Find the linear regression line for the following table of values You will need to use a calculator, spreadsheet, or statistical software Enter your answer in the formy mx b, withmandbboth rounded to two decimal places x y 1 3 76 2 9 76 3 11 23 4 11 1 5 13 6 6 17 76 Provide your answer below y x QUESTION 61 POINT A random sample of adults were asked whether they prefer reading an e bookover a printed book The survey resulted in a sample proportion ofp 0 14, with a sampling standard deviation ofp 0 02, who preferred reading an e book Use the empirical rule to constructa95 confidence interval for the true proportion of adults who prefer e books Provide your answer below (, ) QUESTION 71 POINT A fitness center claims that the mean amount of time that a person spends at the gym per visit is33minutes Identify the null hypothesis,H0, and the alternative hypothesis,Ha, in terms of the parameter Select the correct answer below H0 33 Ha 33 H0 33 Ha 33 H0 33 Ha 33 H0 33 Ha 33 QUESTION 81 POINT Which of the following results in the null hypothesis38and alternative hypothesis 38 Select the correct answer below A fitness center claims that the mean amount of time that a person spends at the gym per visit is at most38minutes A fitness center claims that the mean amount of time that a person spends at the gym per visit is fewer than38minutes A fitness center claims that the mean amount of time that a person spends at the gym per visit is38minutes A fitness center claims that the mean amount of time that a person spends at the gym per visit is more than38minutes QUESTION 91 POINT The population standard deviation for the heights of dogs, in inches, in a city is3 7inches If we want to be95 confident that the sample mean is within2inches of the true population mean, what is the minimum sample size that can be taken z0 10 1 282, z0 05 1 645, z0 0251 960, z0 012 326, z0 005 2 576 Use the table above for thez score and be sure to round up to the nearest integer Provide your answer below dog heights QUESTION 101 POINT A researcher is interested in whether the variation in the size of human beings is proportional throughout each part of the human To partly answer this question they looked at the correlation between the foot length (in millimeters) and height (in centimeters) of30randomly selected adult males The data is provided below Use Excel to calculate the correlation coefficientrbetween the two data sets Round your answer to two decimal places Foot length (mm) Height length (cm) 240 2 145 7 241 3 135 7 242 5 155 7 243 8 125 7 244 9 115 7 255 3 145 3 256 9 135 3 217 5 155 3 258 4 125 3 r QUESTION 111 POINT The answer choices below represent different hypothesis tests Which of the choices are right tailed tests Select all correct answers Select all that apply H0 X17 1,Ha X 17 1 H0 X 14 4,Ha X14 4 H0 X3 8,Ha X 3 8 H0 X7 4,Ha X 7 4 H0 X 3 3,Ha X3 3 QUESTION 121 POINT Find the area to the right of thez score0 41under the standard normal curve z0 20 30 40 50 000 57930 61790 65540 69150 010 58320 62170 65910 69500 020 58710 62550 66280 69850 030 59100 62930 66640 70190 040 59480 63310 67000 70540 050 59870 63680 67360 70880 060 60260 64060 67720 71230 070 60640 64430 68080 71570 080 61030 64800 68440 71900 090 61410 65170 68790 7224 Use the value(s) from the table above Provide your answer below QUESTION 131 POINT Find the graph that matches the following hypothesis test H0 p17 1,Ha p 17 1 Select the correct answer below A normal curve is over a horizontal axis and is centered on 17 1 A tick is labeled on the axis at a point less than 17 1 The area under the curve from the point less than 17 1 on the left is shaded A normal curve is over a horizontal axis and is centered on 17 1 A tick is labeled on the axis at a point greater than 17 1 The area under the curve from the point greater than 17 1 on the right is shaded A normal curve is Over a horizontal axis and is centered on 17 1 Two ticks are labeled on the axis with one at a point less than 17 1 and another at a point greater than 17 1 The area under the curve from the point less than 17 1 on the left and from the point greater than 17 1 on the right is shaded QUESTION 141 POINT An economist claims that the proportion of people who plan to purchase a fully electric vehicle as their next car is greater than65 To test this claim, a random sample of750people are asked if they plan to purchase a fully electric vehicle as their next car Of these750people,513indicate that they do plan to purchase an electric vehicle The following is the setup for this hypothesis test H0 p 0 65 Ha p 0 65 In this example, the p value was determined to be0 026 Come to a conclusion and interpret the results for this hypothesis test for a proportion (use a significance level of5 ) Select the correct answer below The decision is to reject the Null Hypothesis The conclusion is that there is enough evidence to support the claim The decision is to fail to reject the Null Hypothesis The conclusion is that there is not enough evidence to support the claim QUESTION 151 POINT A recent study suggested that81 of senior citizens take at least one prescription medication Amelia is a nurse at a large hospital who would like to know whether the percentage is the same for senior citizen patients who go to her hospital She randomly selects59senior citizens patients who were treated at the hospital and finds that49of them take at least one prescription medication What are the null and alternative hypotheses for this hypothesis test Select the correct answer below H0 p 0 81Ha p 0 81 H0 p0 81Ha p 0 81 H0 p 0 81Ha p 0 81 H0 p 0 81Ha p0 81 QUESTION 161 POINT Suppose you computedr 0 221usingn 25data points Using the critical values table below, determine if the value ofris significant or not df CV ( and ) df CV ( and ) df CV ( and ) df CV ( and ) 1 0 997 11 0 555 21 0 413 40 0 304 2 0 950 12 0 532 22 0 404 50 0 273 3 0 878 13 0 514 23 0 396 60 0 250 4 0 811 14 0 497 24 0 388 70 0 232 5 0 754 15 0 482 25 0 381 80 0 217 6 0 707 16 0 468 26 0 374 90 0 205 7 0 666 17 0 456 27 0 367 100 0 195 8 0 632 18 0 444 28 0 361 9 0 602 19 0 433 29 0 355 10 0 576 20 0 423 30 0 349 Select the correct answer below ris significant because it is between the positive and negative critical values ris not significant because it is between the positive and negative critical values ris significant because it is not between the positive and negative critical values ris not significant because it is not between the positive and negative critical values QUESTION 171 POINT Hugo averages41words per minute on a typing test with a standard deviation of7 5words per minute Suppose Hugo's words per minute on a typing test are normally distributed LetX the number of words per minute on a typing test Then,XN(41,7 5) Suppose Hugo types45words per minute in a typing test on Wednesday Thez score whenx 45is Thisz score tells you thatx 45is standard deviations to the (right left) of the mean, Correctly fill in the blanks in the statement above Select the correct answer below Suppose Hugo types45words per minute in a typing test on Wednesday Thez score whenx 45is0 533 Thisz score tells you thatx 45is0 533standard deviations to the left of the mean,41 Suppose Hugo types45words per minute in a typing test on Wednesday Thez score whenx 45is0 381 Thisz score tells you thatx 45is0 381standard deviations to the left of the mean,41 Suppose Hugo types45words per minute in a typing test on Wednesday Thez score whenx 45is0 381 Thisz score tells you thatx 45is0 381standard deviations to the right of the mean,41 Suppose Hugo types45words per minute in a typing test on Wednesday Thez score whenx 45is0 533 Thisz score tells you thatx 45is0 533standard deviations to the right of the mean,41 QUESTION 181 POINT Suppose a chef claims that her meatball weight is less than4ounces, on average Several of her customers do not believe her, so the chef decides to do a hypothesis test, at a10 significance level, to persuade them She cooks14meatballs The mean weight of the sample meatballs is3 7ounces The chef knows from experience that the standard deviation for her meatball weight is0 5ounces H0 4 Ha 4 0 1(significance level) What is the test statistic (z score) of this one mean hypothesis test, rounded to two decimal places Provide your answer below Test statistic QUESTION 191 POINT Given the plot of normal distributionsAandBbelow, which of the following statements is true Select all correct answers The first curve, labeled A, enters the bottom left of the viewing window, just above the horizontal axis, goes up to the right gradually, reaches a high point, then goes down to the right and exits the bottom right of the viewing window, well above the horizontal axis The second curve, labeled B, enters the bottom left of the viewing window, between the horizontal axis and the first curve, goes up to the right rapidly, intersects the first curve, reaches a high point above and to the left of the high point of the first curve, then goes down to the right symmetrically, intersects the first curve, and exits the bottom right of the viewing window, just above the horizontal axis Select all that apply Ahas the larger mean Bhas the larger mean The means ofAandBare equal Ahas the larger standard deviation Bhas the larger standard deviation The standard deviations ofAandBare equal QUESTION 201 POINT Kenneth, a competitor in cup stacking, claims that his average stacking time is8 2seconds During a practice session, Kenneth has a sample stacking time mean of7 8seconds based on11trials At the4 significance level, does the data provide sufficient evidence to conclude that Kenneth's mean stacking time is less than8 2seconds Accept or reject the hypothesis given the sample data below H0 8 2seconds Ha 8 2seconds 0 04(significance level) z0 1 75 p 0 0401 Select the correct answer below Do not reject the null hypothesis because thep value0 0401is greater than the significance level 0 04 Reject the null hypothesis because thep value0 0401is greater than the significance level 0 04 Reject the null hypothesis because the value ofzis negative Reject the null hypothesis because 1 75 0 04 Do not reject the null hypothesis because 1 75 0 04 QUESTION 211 POINT What is thep value of a right tailed one mean hypothesis test, with a test statistic ofz0 1 74 (Do not round your answer compute your answer using a value from the table below )z1 51 61 71 81 90 000 9330 9450 9550 9640 9710 010 9340 9460 9560 9650 9720 020 9360 9470 9570 9660 9730 030 9370 9480 9580 9660 9730 040 9380 9490 9590 9670 9740 050 9390 9510 9600 9680 9740 060 9410 9520 9610 9690 9750 070 9420 9530 9620 9690 9760 080 9430 9540 9620 9700 9760 090 9440 9540 9630 9710 977 Provide your answer below QUESTION 221 POINT Becky's statistics teacher was teaching the class how to perform thez test for a proportion Becky was bored because she had already mastered the test, so she decided to see if the coin she had in her pocketwould come up heads or tails in a truly random fashion when flipped She discretely flipped the coin30times and got heads18times Becky conducts a one proportionhypothesis testat the5 significance level, to test whether the true proportion of heads is different from50 Which answer choice shows the correct null and alternative hypotheses for this test Select the correct answer below H0 p 0 6 Ha p 0 6, which is a right tailed test H0 p 0 5 Ha p 0 5, which is a left tailed test H0 p 0 6 Ha p0 6, which is a two tailed test H0 p 0 5 Ha p0 5, which is a two tailed test QUESTION 231 POINT A medical researcher claims that the proportion of people taking a certain medication that develop serious side effects is 12 To test this claim, a random sample of 900 people taking the medication is taken and it is determined that 93 people have experienced serious side effects The following is the setup for this hypothesis test H 0 p 0 12 Ha p 0 12 Find the p value for this hypothesis test for a proportion and round your answer to 3 decimal places The following table can be utilized which provides areas under the Standard Normal Curve z 0 00 0 01 0 02 0 03 0 04 0 05 0 06 0 07 0 08 0 09 1 8 0 036 0 035 0 034 0 034 0 033 0 032 0 031 0 031 0 030 0 029 1 7 0 045 0 044 0 043 0 042 0 041 0 040 0 039 0 038 0 038 0 037 1 6 0 055 0 054 0 053 0 052 0 051 0 049 0 048 0 047 0 046 0 046 1 5 0 067 0 066 0 064 0 063 0 062 0 061 0 059 0 058 0 057 0 056 1 4 0 081 0 079 0 078 0 076 0 075 0 074 0 072 0 071 0 069 0 068 Provide your answer below P value QUESTION 241 POINT A statistics professor recently graded final exams for students in her introductory statistics course In a review of her grading, she found the mean scoreout of100points was ax 77, with a margin of error of10 Construct a confidence interval for the mean score (out of100points) on the final exam Provide your answer below (, ) QUESTION 251 POINT Karen is studying the relationship between the time spent exercisingper day and the time spent outside per day and has collected the data shown in the table The line of best fit for the data isy 0 16x 45 5 Assume the line of best fit is significant and there is a strong linear relationship between the variables Exercising(Minutes)7090110130TimeSpentOutside(Minutes)57606267 According to the line of best fit, what would be the predicted number of minutes spent outside for someone who spent58minutes exercising Round your answer to two decimal places, as needed Provide your answer below The predicted number of minutes spent outside is

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QUESTION 11 POINT The scatter plot below shows data relating total income and the number of children a family has. Which of the following patterns

QUESTION 11 POINT

The scatter plot below shows data relating total income and the number of children a family has. Which of the following patterns does the scatter plot show?

The horizontal x axis represents the Number of children and ranges from 0 to 7, in increments of 1. The vertical y axis represents Income in thousands, and ranges from 0 to 200, in increments of 50. The coordinates of the points are as follows: (1, 100), (1, 150), (2, 50), (2, 200), (3, 100), (3, 150), (4, 50), (4, 100), (5, 150), (5, 200), (6, 50), (6, 200), (7, 100) and (7, 150).

Select the correct answer below:

Positive linear pattern

Positive linear pattern with deviations

Negative linear pattern

Negative linear pattern with deviations

No pattern

QUESTION 21 POINT

A researcher claims that the proportion of cars with manual transmission is less than10%. To test this claim, a survey checked1000randomly selected cars. Of those cars,95had a manual transmission.

The following is the setup for the hypothesis test:

{H0: p=0.10

Ha: p<0.10

Find the test statistic for this hypothesis test for a proportion. Round your answer to2decimal places.

Provide your answer below:

Test Statistic=

QUESTION 31 POINT

A medical experiment on tumor growth gives the following data table.

x	y
41	36
43	50
56	87
79	98
114	142

The least squares regression line was found. Using technology, it was determined that the total sum of squares (SST) was7019.2and the sum of squares of regression (SSR) was6503.8. CalculateR2, rounded to three decimal places.

Provide your answer below:

QUESTION 4

Lisa has collected data to find that the number of pages per book on a bookshelf has a normal distribution. What is the probability that a randomly selected book has fewer than145pages if the mean () is195pages and the standard deviation () is25pages? Use the empirical rule. Enter your answer as a percent rounded to two decimal places if necessary.

Provide your answer below:

------%

QUESTION 51 POINT

Find the linear regression line for the following table of values. You will need to use a calculator, spreadsheet, or statistical software.

Enter your answer in the formy=mx+b, withmandbboth rounded to two decimal places.

x	y
1	3.76
2	9.76
3	11.23
4	11.1
5	13.6
6	17.76

Provide your answer below:

y= x+

QUESTION 61 POINT

A random sample of adults were asked whether they prefer reading an e-bookover a printed book. The survey resulted in a sample proportion ofp=0.14, with a sampling standard deviation ofp=0.02, who preferred reading an e-book.

Use the empirical rule to constructa95%confidence interval for the true proportion of adults who prefer e-books.

Provide your answer below:

(, )

QUESTION 71 POINT

A fitness center claims that the mean amount of time that a person spends at the gym per visit is33minutes. Identify the null hypothesis,H0, and the alternative hypothesis,Ha, in terms of the parameter.

Select the correct answer below:

H0:33;Ha:=33

H0:=33;Ha:33

H0:33;Ha:<33

H0:33;Ha:>33

QUESTION 81 POINT

Which of the following results in the null hypothesis38and alternative hypothesis<38?

Select the correct answer below:

A fitness center claims that the mean amount of time that a person spends at the gym per visit is at most38minutes.

A fitness center claims that the mean amount of time that a person spends at the gym per visit is fewer than38minutes.

A fitness center claims that the mean amount of time that a person spends at the gym per visit is38minutes.

A fitness center claims that the mean amount of time that a person spends at the gym per visit is more than38minutes.

QUESTION 91 POINT

The population standard deviation for the heights of dogs, in inches, in a city is3.7inches. If we want to be95%confident that the sample mean is within2inches of the true population mean, what is the minimum sample size that can be taken?

z0.10 1.282, z0.05 1.645, z0.0251.960, z0.012.326, z0.005 2.576

Use the table above for thez-score and be sure to round up to the nearest integer.

Provide your answer below:

dog heights=

QUESTION 101 POINT

A researcher is interested in whether the variation in the size of human beings is proportional throughout each part of the human. To partly answer this question they looked at the correlation between the foot length (in millimeters) and height (in centimeters) of30randomly selected adult males. The data is provided below. Use Excel to calculate the correlation coefficientrbetween the two data sets. Round your answer to two decimal places.

Foot length (mm) Height length (cm)

240.2 145.7

241.3 135.7

242.5 155.7

243.8 125.7

244.9 115.7

255.3 145.3

256.9 135.3

217.5 155.3

258.4 125.3

QUESTION 111 POINT

The answer choices below represent different hypothesis tests. Which of the choices areright-tailedtests? Select all correct answers.

Select all that apply:

H0:X17.1,Ha: X<17.1

H0:X=14.4,Ha:X14.4

H0:X3.8,Ha: X>3.8

H0:X7.4,Ha:X>7.4

H0:X=3.3,Ha:X3.3

QUESTION 121 POINT

Find the area to the right of thez-score0.41under the standard normal curve.z0.20.30.40.50.000.57930.61790.65540.69150.010.58320.62170.65910.69500.020.58710.62550.66280.69850.030.59100.62930.66640.70190.040.59480.63310.67000.70540.050.59870.63680.67360.70880.060.60260.64060.67720.71230.070.60640.64430.68080.71570.080.61030.64800.68440.71900.090.61410.65170.68790.7224

Use the value(s) from the table above.

Provide your answer below:

QUESTION 131 POINT

Find the graph that matches the following hypothesis test. H0: p17.1,Ha: p<17.1

Select the correct answer below:

A normal curve is over a horizontal axis and is centered on 17.1. A tick is labeled on the axis at a point less than 17.1. The area under the curve from the point less than 17.1 on the left is shaded.

A normal curve is over a horizontal axis and is centered on 17.1. A tick is labeled on the axis at a point greater than 17.1 The area under the curve from the point greater than 17.1 on the right is shaded.

A normal curve is Over a horizontal axis and is centered on 17.1. Two ticks are labeled on the axis with one at a point less than 17.1 and another at a point greater than 17.1. The area under the curve from the point less than 17.1 on the left and from the point greater than 17.1 on the right is shaded.

QUESTION 141 POINT

An economist claims that the proportion of people who plan to purchase a fully electric vehicle as their next car is greater than65%.

To test this claim, a random sample of750people are asked if they plan to purchase a fully electric vehicle as their next car Of these750people,513indicate that they do plan to purchase an electric vehicle.

The following is the setup for this hypothesis test:

H0: p=0.65

Ha: p>0.65

In this example, the p-value was determined to be0.026.

Come to a conclusion and interpret the results for this hypothesis test for a proportion (use a significance level of5%.)

Select the correct answer below:

The decision is to reject the Null Hypothesis. The conclusion is that there is enough evidence to support the claim.

The decision is to fail to reject the Null Hypothesis. The conclusion is that there is not enough evidence to support the claim.

QUESTION 151 POINT

A recent study suggested that81%of senior citizens take at least one prescription medication. Amelia is a nurse at a large hospital who would like to know whether the percentage is the same for senior citizen patients who go to her hospital. She randomly selects59senior citizens patients who were treated at the hospital and finds that49of them take at least one prescription medication. What are the null and alternative hypotheses for this hypothesis test?

Select the correct answer below:

{H0:p=0.81Ha:p>0.81

{H0:p0.81Ha:p=0.81

{H0:p=0.81Ha:p<0.81

{H0:p=0.81Ha:p0.81

QUESTION 161 POINT

Suppose you computedr=0.221usingn=25data points. Using the critical values table below, determine if the value ofris significant or not.

df	CV (+ and -)	df	CV (+ and -)	df	CV (+ and -)	df	CV (+ and -)
1	0.997	11	0.555	21	0.413	40	0.304
2	0.950	12	0.532	22	0.404	50	0.273
3	0.878	13	0.514	23	0.396	60	0.250
4	0.811	14	0.497	24	0.388	70	0.232
5	0.754	15	0.482	25	0.381	80	0.217
6	0.707	16	0.468	26	0.374	90	0.205
7	0.666	17	0.456	27	0.367	100	0.195
8	0.632	18	0.444	28	0.361
9	0.602	19	0.433	29	0.355
10	0.576	20	0.423	30	0.349

Select the correct answer below:

ris significant because it is between the positive and negative critical values.

ris not significant because it is between the positive and negative critical values.

ris significant because it is not between the positive and negative critical values.

ris not significant because it is not between the positive and negative critical values.

QUESTION 171 POINT

Hugo averages41words per minute on a typing test with a standard deviation of7.5words per minute. Suppose Hugo's words per minute on a typing test are normally distributed. LetX=the number of words per minute on a typing test. Then,XN(41,7.5). Suppose Hugo types45words per minute in a typing test on Wednesday. Thez-score whenx=45is ________. Thisz-score tells you thatx=45is ________ standard deviations to the ________ (right/left) of the mean, ________. Correctly fill in the blanks in the statement above.

Select the correct answer below:

Suppose Hugo types45words per minute in a typing test on Wednesday. Thez-score whenx=45is0.533. Thisz-score tells you thatx=45is0.533standard deviations to theleftof the mean,41.

Suppose Hugo types45words per minute in a typing test on Wednesday. Thez-score whenx=45is0.381. Thisz-score tells you thatx=45is0.381standard deviations to theleftof the mean,41.

Suppose Hugo types45words per minute in a typing test on Wednesday. Thez-score whenx=45is0.381. Thisz-score tells you thatx=45is0.381standard deviations to therightof the mean,41.

Suppose Hugo types45words per minute in a typing test on Wednesday. Thez-score whenx=45is0.533. Thisz-score tells you thatx=45is0.533standard deviations to therightof the mean,41.

QUESTION 181 POINT

Suppose a chef claims that her meatball weight is less than4ounces, on average. Several of her customers do not believe her, so the chef decides to do a hypothesis test, at a10%significance level, to persuade them. She cooks14meatballs. The mean weight of the sample meatballs is3.7ounces. The chef knows from experience that the standard deviation for her meatball weight is0.5ounces.

H0:4;Ha:<4
=0.1(significance level)

What is the test statistic (z-score) of this one-mean hypothesis test, rounded to two decimal places?

Provide your answer below:

Test statistic =

QUESTION 191 POINT

Given the plot of normal distributionsAandBbelow, which of the following statements is true? Select all correct answers.

The first curve, labeled A, enters the bottom left of the viewing window, just above the horizontal axis, goes up to the right gradually, reaches a high point, then goes down to the right and exits the bottom right of the viewing window, well above the horizontal axis. The second curve, labeled B, enters the bottom left of the viewing window, between the horizontal axis and the first curve, goes up to the right rapidly, intersects the first curve, reaches a high point above and to the left of the high point of the first curve, then goes down to the right symmetrically, intersects the first curve, and exits the bottom right of the viewing window, just above the horizontal axis.

Select all that apply:

Ahas the larger mean.

Bhas the larger mean.

The means ofAandBare equal.

Ahas the larger standard deviation.

Bhas the larger standard deviation.

The standard deviations ofAandBare equal.

QUESTION 201 POINT

Kenneth, a competitor in cup stacking, claims that his average stacking time is8.2seconds. During a practice session, Kenneth has a sample stacking time mean of7.8seconds based on11trials. At the4%significance level, does the data provide sufficient evidence to conclude that Kenneth's mean stacking time is less than8.2seconds? Accept or reject the hypothesis given the sample data below.

H0:=8.2seconds;Ha:<8.2seconds
=0.04(significance level)
z0=1.75
p=0.0401

Select the correct answer below:

Do not reject the null hypothesis because thep-value0.0401is greater than the significance level=0.04.

Reject the null hypothesis because thep-value0.0401is greater than the significance level=0.04.

Reject the null hypothesis because the value ofzis negative.

Reject the null hypothesis because|1.75|>0.04.

Do not reject the null hypothesis because|1.75|>0.04.

QUESTION 211 POINT

What is thep-value of aright-tailedone-mean hypothesis test, with a test statistic ofz0=1.74? (Do not round your answer; compute your answer using a value from the table below.)z1.51.61.71.81.90.000.9330.9450.9550.9640.9710.010.9340.9460.9560.9650.9720.020.9360.9470.9570.9660.9730.030.9370.9480.9580.9660.9730.040.9380.9490.9590.9670.9740.050.9390.9510.9600.9680.9740.060.9410.9520.9610.9690.9750.070.9420.9530.9620.9690.9760.080.9430.9540.9620.9700.9760.090.9440.9540.9630.9710.977

Provide your answer below:

QUESTION 221 POINT

Becky's statistics teacher was teaching the class how to perform thez-test for a proportion. Becky was bored because she had already mastered the test, so she decided to see if the coin she had in her pocketwould come up heads or tails in a truly random fashion when flipped. She discretely flipped the coin30times and got heads18times.

Becky conducts a one-proportionhypothesis testat the5%significance level, to test whether the true proportion of heads is different from50%.

Which answer choice shows the correct null and alternative hypotheses for this test?

Select the correct answer below:

H0:p=0.6;Ha:p>0.6, which is a right-tailed test.

H0:p=0.5;Ha:p<0.5, which is a left-tailed test.

H0:p=0.6;Ha:p0.6, which is a two-tailed test.

H0:p=0.5;Ha:p0.5, which is a two-tailed test.

QUESTION 231 POINT

A medical researcher claims that the proportion of people taking a certain medication that develop serious side effects is 12%. To test this claim, a random sample of 900 people taking the medication is taken and it is determined that 93 people have experienced serious side effects. .

The following is the setup for this hypothesis test:

H0:p= 0.12

Ha:p0.12

Find the p-value for this hypothesis test for a proportion and round your answer to 3 decimal places.

The following table can be utilized which provides areas under the Standard Normal Curve:

z	0.00	0.01	0.02	0.03	0.04	0.05	0.06	0.07	0.08	0.09
-1.8	0.036	0.035	0.034	0.034	0.033	0.032	0.031	0.031	0.030	0.029
-1.7	0.045	0.044	0.043	0.042	0.041	0.040	0.039	0.038	0.038	0.037
-1.6	0.055	0.054	0.053	0.052	0.051	0.049	0.048	0.047	0.046	0.046
-1.5	0.067	0.066	0.064	0.063	0.062	0.061	0.059	0.058	0.057	0.056
-1.4	0.081	0.079	0.078	0.076	0.075	0.074	0.072	0.071	0.069	0.068

Provide your answer below:

P-value=

QUESTION 241 POINT

A statistics professor recently graded final exams for students in her introductory statistics course. In a review of her grading, she found the mean scoreout of100points was ax=77, with a margin of error of10.

Construct a confidence interval for the mean score (out of100points) on the final exam.

Provide your answer below:

(, )

QUESTION 251 POINT

Karen is studying the relationship between the time spent exercisingper day and the time spent outside per day and has collected the data shown in the table. The line of best fit for the data isy^=0.16x+45.5. Assume the line of best fit is significant and there is a strong linear relationship between the variables.

Exercising(Minutes)7090110130TimeSpentOutside(Minutes)57606267

According to the line of best fit, what would be the predicted number of minutes spent outside for someone who spent58minutes exercising?Round your answer to two decimal places, as needed.

Provide your answer below:

The predicted number of minutes spent outside is