The waiting times (in minutes) of a random sample of 20 people at a bank have a sample standard deviation of 4.1 minutes. Construct a confidence interval for the population variance \( \sigma^{2} \) and the population standard deviation \( \sigma \). Use a \( 95 \% \) level of confidence. Assume the sample is from a normally distributed population. What is the confidence interval for the population variance \( \sigma^{2} \) ? (Round to one decimal place as needed.) Interpret the results. Select the correct choice below and fill in the answer box(es) to complete your choice. (Round to one decimal place as needed.)

The accompanying data describes the earnings of 15 celebrities. Complete parts (a) through (d). a. Find the mean. The mean earnings of the 15 celebrities is \( \$ \square \) million. (Round to the nearest tenth as needed.)

Nance Layla Maizonet \#1 Which of the following correlation coefficients indicates the strongest relationship between two variables? a. -0.535 b. -0.534 c. 0.418 d. -0.816 \#2 A survey was taken comparing the number of hours per week students spent studying and their performance on an exam. If a linear regression was performed and the correlation coefficient was 0.017 , what can be said about these results?

\#2 A survey was taken comparing the number of hours per week students spent studying and their performance on an exam. If a linear regression was performed and the correlation coefficient was -0.017 , what can be said about these results? a. As the number of hours spent studying increases, student exam performances will likely not change. b. As the number of hours spent studying inrceases, student exam performances will probably increase. c. As the number of hours spent studying increases, student exam performances will probably decrease. d. There is little evidence of a linear relationship between the number of hours spent studying and student exam performances.

Determine whether the following statement makes sense or does not make sense. Although the data set \( 5,5,6,6,6,7,7,7 \) has a number of repeated items, there is only one mode. Choose the correct answer below. A. The statement does not make sense because there are no modes in the data set. B. The statement makes sense because there is 1 mode in the data set. C. The statement does not make sense because every value is a mode in the data set. D. The statement does not make sense because there are 2 modes in the data set.

Determine whether the statement is true or false. If the statement is false, make the necessary change(s) fo produce a true statement. When finding the mean, it is necessary to arrange the data items in order. Choose the correct answer below. A. The statement is true. B. The statement is false. To make the statement true, change "mean" to "median", C. The statement is false. To make the statement true, change "mean" to "mode", D. The statement is false. To make the statement true, change "mean" to "median" and add "not" between "is" and "necessary",