12. Here are summary statistics for randomly selected weights of newborn? girls: n=36?, x=3180.6?g, s=700.5g. Use a confidence level of 90?% to complete parts? (a) through? (d) below.

a.

Identify the critical value t?/2 used for finding the margin of error.

t?/2=____ enter your response here

?(Round to two decimal places as? needed.)

Part 2b. Find the margin of error.

E=_____g enter your response here

?(Round to one decimal place as? needed.)

Part 3c. Find the confidence interval estimate of ?.

enter your response here

____g<___g enter your response here>

?(Round to one decimal place as? needed.)

Part 4d.

a brief statement that interprets the confidence interval. Choose the correct answer below.

A.

One has

90?%

confidence that the sample mean weight of newborn girls is equal to the population mean weight of newborn girls.

B.

One has

90?%

confidence that the interval from the lower bound to the upper bound contains the true value of the population mean weight of newborn girls.

C.

There is a

90?%

chance that the true value of the population mean weight of newborn girls will fall between the lower bound and the upper bound.

D.

Approximately

90?%

of sample mean weights of newborn girls will fall between the lower bound and the upper bound.

13. See image and solve

In an experiment, college students were given either four quarters or a $1 bill and they could either keep the money or spend it on gum. The results are summarized in the table. Complete parts (a) through (c) below. Purchased Gum Kept the Money Students Given Four Quarters 29 13 Students Given a $1 Bill 19 34 . . . a. Find the probability of randomly selecting a student who spent the money, given that the student was given a $1 bill. The probability is (Round to three decimal places as needed.) b. Find the probability of randomly selecting a student who kept the money, given that the student was given a $1 bill. The probability is ] (Round to three decimal places as needed.) c. What do the preceding results suggest? O A. A student given a $1 bill is more likely to have kept the money. O B. A student given a $1 bill is more likely to have spent the money. O C. A student given a $1 bill is more likely to have kept the money than a student given four quarters. O D. A student given a $1 bill is more likely to have spent the money than a student given four quarters.The sample space listing the eight simple events that are possible when a couple has three children is {bbb, bbg, bgb, bgg, gbb, gbg, ggb, ggg}. After identifying the sample space for a couple having four children, nd the probability of getting one girl and three boys (in any order). Identify the sample space for a couple having four children. { } (Use a comma to separate answers as needed.) Find the probability ofgetting one girl and three boys (in any order). (Type an integer or a decimal. Do not round.) Assume that the amounts of weight that male college students gain during their freshman year are normally distributed with a mean of p = 1.1 kg and a standard deviation of o = 4.5 kg. Complete parts (a) through (c) below. - . . a. If 1 male college student is randomly selected, find the probability that he gains between 0 kg and 3 kg during freshman year. The probability is. (Round to four decimal places as needed.) b. If 16 male college students are randomly selected, find the probability that their mean weight gain during freshman year is between 0 kg and 3 kg. The probability is (Round to four decimal places as needed.) c. Why can the normal distribution be used in part (b), even though the sample size does not exceed 30? O A. Since the distribution is of individuals, not sample means, the distribution is a normal distribution for any sample size. O B. Since the original population has a normal distribution, the distribution of sample means is a normal distribution for any sample size. O C. Since the weight gain exceeds 30, the distribution of sample means is a normal distribution for any sample size. O D. Since the distribution is of sample means, not individuals, the distribution is a normal distribution for any sample size.A data set includes weights of garbage discarded in one week from 62 different households. The paired weights of paper and glass were Correlation matrix: used to obtain the results shown to the right. Is there sufficient evidence to support the claim that there is a linear correlation between Variables Paper | Glass weights of discarded paper and glass? Use a significance level of a = 0.05. Paper 1 0.4074 Click here to view a table of critical values for the correlation coefficient. Glass 0.4074 . . . Determine the null and alternative hypotheses. Hy : p (Type integers or decimals. Do not round.) Identify the test statistic, r. r= (Round to three decimal places as needed.) Identify the critical value(s). (Round to three decimal places as needed.) O A. There are two critical values at r = O B. There is one critical value at r= State the conclusion. Because the absolute value of the test statistic is the positive critical value, there sufficient evidence to support the claim that thereChoose the correct histogram below. The last digit of the heights of 36 statistics students were obtained as part of an experiment conducted for a class. Use the following frequency distribution to O A. construct a histogram. What can be concluded from the distribution of the digits? Specifically, do the heights appear to be reported or actually measured? 0123456 7 8 9 Digit Frequency O B. 4 12- 0123456 7 8 9 O C. AWUAWWWWA DONOMIA WN- 12- 0123456789 (. . . OD. Are the data reported or measured? O A. The data appears to be reported. The heights occur with roughly the same frequency. O B. The data appears to be reported. Certain heights occur a disproportionate number of times. O C. The data appears to be measured. Certain heights occur a disproportionate number of times. O D. The data appears to be measured. The heights occurHouseholds are randomly selected and partitioned into groups of four. For those groups, the random variable x is the number of households with X P(x) a printer. Determine whether a probability distribution is given. If a probability distribution is given, find its mean and standard deviation. If a 0 0.021 probability distribution is not given, identify the requirements that are not satisfied. 1 0.145 2 0.341 3 0.357 4 0.136 UJ A. Yes, the table snows a probability distribution. B. No, not every probability is between 0 and 1 inclusive. C. No, the random variable x is categorical instead of numerical. D. No, the numerical values of the random variable x are not associated with probabilities. OE. No, the sum of all the probabilities is not equal to 1. Find the mean of the random variable x. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. = household(s) (Round to one decimal place as needed.) O B. The table does not show a probability distribution. Find the standard deviation of the random variable x. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. 6= household(s) (Round to one decimal place as needed.) O B. The table does not show a probability distribution.The body temperatures of a group of healthy adults have a bell-shaped distribution with a mean of 98.26 F and a standard deviation of 0.42 F. Using the empirical rule, find each approximate percentage below. a. What is the approximate percentage of healthy adults with body temperatures within 3 standard deviations of the mean, or between 97.00F and 99.52 F? b. What is the approximate percentage of healthy adults with body temperatures between 97.84 F and 98.68 F? a. Approximately % of healthy adults in this group have body temperatures within 3 standard deviations of the mean, or between 97.00 F and 99.52 F. (Type an integer or a decimal. Do not round.) b. Approximately |% of healthy adults in this group have body temperatures between 97.84 F and 98.68 "F. (Type an integer or a decimal. Do not round.)A data set lists weights (Ib) of plastic discarded by households. The highest weight is 5.56 lb, the mean of all of the weights is x = 2.311 lb, and the standard deviation of the weights is s = 1.963 lb. a. What is the difference between the weight of 5.56 lb and the mean of the weights? b. How many standard deviations is that [the difference found in part (a)]? c. Convert the weight of 5.56 lb to a z score d. If we consider weights that convert to z scores between - 2 and 2 to be neither significantly low nor significantly high, is the weight of 5.56 lb significant? a. The difference is Ib. (Type an integer or a decimal. Do not round.) b. The difference is standard deviations. (Round to two decimal places as needed.) c. The z score is z =] (Round to two decimal places as needed.) d. The highest weight is significantly high. not significant. significantly low