Directions: Please respond to the questions listed below.

For These you can give direct answers with no explanation.

Note: THIS ISNT FOR AN ASSIGNMENT BUT MERELY FOR MY OWN UNDERSTANDING AND COMPREHENSION! PLEASE BE ORGINAL! THIS IS FOR PRACTICE.

The accompanying data provide the heights of some singers in a chorus, collected so that the singers could be positioned on stage with shorter ones in front and taller ones in back. The histogram displays these data. Complete parts a and b below. Click here to view the data. Click here to view the histogram. a) Describe the distribution. O A. The distribution is unimodal. Its mode is near 60 inches. O B. The distribution is multimodal. Its modes are near 60 inches, 65 inches, and 71 inches. O C. The distribution has no noticeable modes. O D. The distribution is bimodal. Its modes are near 65 inches and 71 inches. b) What is the most likely explanation for the features seen in the distribution? O A. The shape of the distribution is probably due to a mix of men and women in the group. O B. The shape of the distribution is probably due to the fact that some of the singers wore heels and some did not. O C. Height data always takes this shape because some people are tall and some are short. O D. Height data does not usually take this shape, but it does in this case because of how the singers are organized on stage. - X Histogram of data of Singers 64 68 72 76 Height (in.) Print DoneData and Regression Analysis Height (cm) Arm Span (cm) 171 172 165 179 154 151 176 178 181 162 196 193 153 151 164 152 165 160 168 197 Dependent variable is Arm Span R-squared = 40.3% $ 2.51 Variable Coefficient Constant 25.825 Height 0.849 Print DoneOf 535 samples of seafood purchased from various kinds of food stores in different regions of a country and genetically compared to standard gene fragments that can identify the species, 33% were mislabeled. a) Construct a 95% confidence interval for the proportion of all seafood sold in the country that is mislabeled or misidentified. b) Explain what your confidence interval says about seafood sold in the country. c) A government spokesperson claimed that the sample size was too small, relative to the billions of pieces of seafood sold each year, to generalize. Is this criticism valid? a) What is the 95% confidence interval? The 95% confidence interval is from % to%. (Round to one decimal place as needed.) b) What does the confidence interval say about seafood sold in the country? O A. There is a 95% chance that the true proportion of mislabeled seafood is in the interval. O B. In 95% of samples of seafood sold in the country, the proportion that is mislabeled will be in the interval. O C. We are 95% confident that the interval captures the true proportion of all seafood sold in the country that is mislabeled. c) Is the government spokesperson's criticism valid? O A. Yes, the sample size must be at least 10% of the population, or the results cannot be generalized. O B. Yes, until another study produces a similar interval, the results cannot be generalized. O C. No, as long as the necessary assumptions and conditions were met, the results can be generalized.During routine screening, a doctor notices that 19% of her adult patients show higher than normal levels of glucose in their blood-a possible warning signal for diabetes, Hearing this, some medical researchers decide to conduct a large-scale study, hoping to estimate the proportion to within 4% with 99% confidence. How many randomly selected adults must they test? The number of adults that should be tested is (Round up to the nearest whole number.)An incoming MBA student took placement exams in economics and mathematics. In economics, she scored 82 and in math 87. The overall results on the economics exam had a mean of 75 and a standard deviation of 9, while the mean math score was 69, with a standard deviation of 12. On which exam did she do better compared with the other students? Since she scored standard deviations the mean in economics and standard deviations the mean in mathematics, she did better on the exam. (Round to two decimal places as needed.)Consider the accompanying data examining the heights and arm spans of randomly selected students. Complete parts a through g below. Click the icon to view the data and regression analysis. a) Write the regression equation. Define the variables used in your equation. (Round to three decimal places as needed.) b) Interpret the slope in context. Choose the correct answer below. O A. It means that, on average, the Height will equal b, multiplied by the Arm Span. O B. It means that, on average, an additional increase of b, Height is associated with 1 additional cm of Arm Span. O C. It means that, on average, an additional increase of b, Arm Span is associated with 1 additional cm of height. O D. It means that, on average, the Arm Span is approximately b, multiplied by the Height. c) What does the y-intercept mean in this context? Is it meaningful? O A. It means that, on average, the Arm Length will equal by multiplied by the Height of the student. It is meaningful because by is greater than zero. O B. It means that, on average, the expected Arm Span is bo when a student has a Height of 0 cm. It is not meaningful in this context, because it is impossible for a student to have a height of 0 cm. O C. It would mean that, on average, the minimum Arm Length for a student with Height 171 cm is by. It is meaningful because bo is greater than zero. D. It means that, on average, an additional increase of bo in Arm Span is associated with a 1 cm increase in Height. It is not meaningful in this context, because the value of bo is much larger than by . d) If a student is 177 cm tall, what is his predicted Arm Span? His predicted arm span is (Round to two decimal places as needed.) e) If this 177 cm tall student has an actual Arm Span of 177 cm, what is the value of the residual? Does he have shorter or longer arms than predicted? The residual is (Round to two decimal places as needed.) Does he have shorter or longer arms than predicted? longer shorter the same as predicted f) If a student has a residual of 4 cm and a Height of 160 cm, what is his actual arm span? His actual arm span is. (Round to two decimal places as needed.) 9) State and interpret the R value in context. The R2 value is 1%. This means that |% of the in is explained successfully by using (Type integers or decimals. Do not round.)You drop by your local independent coffee shop on your way to class. While standing in line, you notice that 85% of the 20 customers are texting. Assume these customers form a reasonably random sample of all potential customers. If we tried to make a confidence interval for the proportion of texting customers, which condition would be violated? Choose the correct answer below. O A. Success/Failure condition O B. 10% condition O C. Randomization conditionThe accompanying summary statistics and histogram are for the ZIP codes of 500 customers from an internet jewelry store in the United States. What can these statistics tell you about the company's sales? Click the icon to view the summary statistics and histogram. Choose the correct answer below. O A. The ZIP codes for purchases from the store are symmetrically distributed around 65,000. O B. The amount of sales is skewed in the direction of higher ZIP codes. O C. The amount of sales was spread fairly evenly across the country. O D. No information can be gleaned from the summary statistics because ZIP codes are categorical. Summary Statistics and Histogram -X Count 500 Mean 64,936.5 StdDev 23,595.5 Median 64,876 IQR 44.595 Q1 45.912 03 90,507 100- # of Customer 0- 15000 40000 65000 90000 ZIP Codes Print DoneTwenty-six countries won medals in a competition. The accompanying table lists the total number of medals each country won. a) Try to make a display of these data. What problems do you encounter? b) How could the data be better organized to make a display? Click the icon to view the frequencies for the medals per country. a) Try to make a display of these data. What problems do you encounter? O A. The data violate the area principle. O B. The categories overlap. O C. The sum of the numbers of medals per capita is not 100%. O D. There are too many categories. b) How could the data be better organized to make a display? O A. Include an "Other" category. O B. Use a multidimensional display for the data. O C. Limit the number of categories by combining some of the countries. O D. Convert the values to percentages. - X Number of Medals per Country Country Medals Country| Medals 29 23 15 NXE 0.0633 O B. Ho: p = 0.0633 vs. HA: p 0.06 OF. Ho: p = 0.06 vs. HA: P #0.06 b) Check the necessary assumptions. Which of the following are satisfied? Select all that apply. A. There are more than 10 successes and 10 failures. B. The sample is random. [C. Less than 10% of the population was sampled. D. The independence assumption is satisfied. c) Perform the mechanics of the test. What is the P-value? P-value = (Round to three decimal places as needed.) d) Explain carefully what the P-value means in this context. Choose the correct answer below. O A. The P-value is the chance of observing 26 or more children with genetic abnormalities in a random sample of 411 children. O B. The P-value is the chance of observing 6% of children with genetic abnormalities O C. The P-value is the chance of observing 26 or more children with genetic abnormalities in a random sample of 411 children if 6% of children actually have genetic abnormalities. O D. The P-value is the actual percentage of children who have genetic abnormalities. e) What's your conclusion? O A. Fail to reject Ho. There is sufficient evidence that more than 6% of the nation's children have genetic abnormalities. O B. Reject Ha. There is not sufficient evidence that more than 6% of the nation's children have genetic abnormalities. O C. Fail to reject Ho. There is not sufficient evidence that more than 6% of the nation's children have genetic abnormalities. O D. Reject Ho. There is sufficient evidence that more than 6% of the nation's children have genetic abnormalities. () Do environmental chemicals cause congenital abnormalities? O A. Yes, the conclusion of the hypothesis test shows that environmental chemicals cause genetic abnormalities. O B. It is unknown if environmental chemicals cause genetic abnormalities, because the hypothesis test does not indicate the cause of any changes. O C. No, the conclusion of the hypothesis test shows that environmental chemicals do not cause genetic abnormalities.How many points do teams score in the championship game of a certain sport? The total numbers of points scored by both teams in each of the first 46 championship games are shown below. Complete parts a through e below. 45, 47, 23, 31, 28, 27, 21, 30, 22, 37, 46, 36, 66, 50, 36, 48, 44, 48, 55, 57, 58, 51, 35, 65, 39, 62, 68, 43, 77, 45, 55, 55, 52, 40, 42, 37, 70, 60, 44, 32, 45, 31, 50, 47. 55, 37 a) Find the median. The median is. (Type an integer or a decimal.) b) Find the quartiles. The lower quartile is. (Type an integer or a decimal.) The upper quartile is. (Type an integer or a decimal.) c) Are there any outliers? Select the correct choice below and fill in the answer boxes within your choice. (Type integers or decimals.) O A. The upper fence is and the lower fence is . None of the values fall outside these fences, so there are no outliers. O B. The upper fence is and the lower fence is . None of the values fall inside these fences, so there are no outliers. O C. The upper fence is |and the lower fence is . The value(s) |fall outside these fences and so are outliers. O D. The upper fence is |and the lower fence is . The value(s) |fall inside these fences and so are outliers. d) Construct a boxplot of the data. Choose the correct graph below. Q O A. Q O B. 80 20 40 60 80 O c. O D. Q 20 0 20 40 60 80 e) Write a description of the distribution based on the boxplot and the 5-number summary. The 5-number summary is... .0. (Type integers or decimals. Use ascending order.) In the championship game, teams typically score a total of about | points, with half the games totaling more than but less than | points. In only one fourth of the games have the teams scored fewer than points, and the most the teams ever totaled was |points. (Type integers or decimals.)For their class project, a group of Business students decide to survey the student body to assess opinions about a proposed new student coffee shop to judge how successful it might be. Their sample of 220 contained 55 first-year students, 55 sophomores, 55 juniors, and 55 seniors. Complete parts (a) and (b) below. a) Do you think the group was using an SRS? Why? Choose the correct answer below. O A. No; it is highly likely that exactly 55 from each class will be surveyed by random chance. O B. Yes; it is highly likely that exactly 55 from each class will be surveyed by random chance. O C. No; it would be nearly impossible to get exactly 55 from each class by random chance. O D. Yes: it would be nearly impossible to get exactly 55 from each class by random chance. b) What kind of sampling design do you think they used? Choose the correct answer below. O A cluster sample O A stratified sample O A multistage sample O A simple random sampleUse the Normal model N(104,13) for the IQs of sample participants. a) What IQ represents the 13th percentile? b) What IQ represents the 95th percentile? c) What's the IQR of the IQs? a) The IQ representing the 13th percentile is (Round to one decimal place as needed.) b) The IQ representing the 95th percentile is (Round to one decimal place as needed.) c) The IQR for the IQs is (Round to one decimal place as needed.)Suppose your statistics professor reports test grades as z-scores, and you got a score of 2.20 on an exam. Write a sentence explaining what that means. Select the correct choice below. O A. The score was 2.20 standard deviations lower than the mean score in the class. O B. The score was 2.20 points higher than the mean score in the class. O C. The score was 2.20 standard deviations higher than the mean score in the class. O D. The score was 2.20 points lower than the mean score in the class.An amusement park has opened a new roller coaster. It is so popular that people are waiting for up to 3 hours for a 2-minute ride. Concerned about how patrons (who paid a large amount to enter the park and ride on the rides) feel about this, they survey every 10th male in line for the roller coaster, starting from the first male. Complete parts a through d below. a) What kind of sample is this? O a census O a simple random sample O a convenience sample O a systematic sample b) What is the sampling frame? O A. all the males who go to amusement parks O B. all the male patrons willing to wait in line for the roller coaster O C. all the patrons willing to wait in line for the roller coaster O D. all the male patrons who like roller coasters c) Is the sample likely to be representative of the population of interest? O A. No, the sample is not likely to be representative of everyone in the park. O B. No, the sample is not likely to be representative of everyone who waited in line for the roller coaster. O C. Yes, the sample is likely to be representative of everyone in the park. O D. Yes, the sample is likely to be representative of everyone who waited in line for the roller coaster. d) What members of the population of interest are omitted? A. the patrons who are not willing to wait in line for the ride O B. the patrons who are willing to wait in line for the ride O C. no members of the population of interest are omitted O D. amusement park employeesA food company sells salmon to various customers. The mean weight of the salmon is 39 lb with a standard deviation of 2 lbs. The company ships them to restaurants in boxes of 9 salmon, to grocery stores in cartons of 16 salmon, and to discount outlet stores in pallets of 81 salmon. To forecast costs, the shipping department needs to estimate the standard deviation of the mean weight of the salmon in each type of shipment. Complete parts (a) and (b) below. a) Find the standard deviations of the mean weight of the salmon in each type of shipment. Find the standard deviation of the mean weight of the salmon in the boxes sold to restaurants. SD (y) = (Round to two decimal places as needed.) Find the standard deviation of the mean weight of the salmon in the cartons sold to grocery stores. SD (y) = (Round to two decimal places as needed.) Find the standard deviation of the mean weight of the salmon in the pallets sold to outlet stores. SD (y) = (Round to two decimal places as needed.) b) The distribution of the salmon weights turns out to be skewed to the high end. Would the distribution of shipping weights be better characterized by a Normal model for the boxes or pallets? Explain. Choose the correct answer below. O A. The pallets, because, regardless of the underlying distribution, the sampling distribution of the mean approaches the Normal model as the sample size increases O B. The boxes, because, as long as the underlying distribution is Normal, the sampling distribution of the mean approaches the Normal model as the sample size increases. O C. The pallets, because, as long as the underlying distribution is Normal, the sampling distribution of the mean approaches the Normal model as the sample size increases. O D. The boxes, because, regardless of the underlying distribution, the sampling distribution of the mean approaches the Normal model as the sample size increases.The accompanying table shows the reasons given by people 16 years of age and older in a country who are not in the labor force for not working during a particular year. Counts are in thousands of people. Complete parts a through d below. Click the icon to view the survey results. a) What percent of the unemployed population were available to work now? % (Round to one decimal place as needed.) b) What percent of the unemployed population were available to work now and aged 25 to 54 years? (Round to one decimal place as needed.) c) What percent of the unemployed 16- to 24-year-olds were in school or training? % (Round to one decimal place as needed.) d) What percent of unemployed people were aged 16 to 24 years? 7% (Round to one decimal place as needed.) - X Survey results Age Reason 16-24 25-54 >55 Total Did not search for work in the previous year 1071 1336 1033 3440 Searched, but not in past 4 weeks 968 1330 575 2873 Not available to work now 300 283 84 667 Available to work now 663 1041 500 2204 Discouraged over job prospects 181 352 201 734 Reasons other than discouragement 489 699 283 1471 Family responsibilities 33 164 46 243 In school or training 204 57 265 Ill health or disability 10 85 62 157 Other 230 392 176 798 Total 4149 5739 2964 12,852 Print DoneA small warehouse employs a supervisor at $1400 a week, an inventory manager at $750 a week, six stock boys at $420 a week, and four drivers at $520 a week. a) Find the mean and median wage. The mean wage is $ The median wage is $ b) How many employees earn more than the mean wage? c) Which measure of center best describes a typical wage at this company, the mean or the median? O A. The median best describes the typical wage. The mean is not a good measure of center because it is affected by the multitude of duplicate salaries. O B. The mean best describes the typical wage. The median is not a good measure of center because it is affected by the two higher salaries. O C. The mean best describes the typical wage. The median is not a good measure of center because it is affected by the multitude of duplicate salaries. O D. The median best describes the typical wage. The mean is not a good measure of center because it is affected by the two higher salaries. d) Which measure of spread would best describe the payroll, the range, the IOR, or the standard deviation? Why? O A. The standard deviation is the better measure of spread. The IQR and the range are both affected by the two higher salaries. O B. The range is the better measure of spread. Neither the IQR nor the standard deviation account for the extreme values. O C. The standard deviation is the better measure of spread. Neither the IQR nor the range account for every data value. O D. The IQR is the better measure of spread. The standard deviation and the range are both affected by the two higher salaries