# Question

A statistics student was interested in the amount of time that community college students exercise each week. He gathered data from a random sample of students at his community college and excluded those who did not exercise (those who reported 0 hours per week); this left 45 in the sample. All values were rounded to the nearest hour.

The table shows the data. Figure A shows a histogram of the data, and Figure B shows a histogram of the log transform (base 10) of the data.

a. Describe the distribution of the untransformed sample.

b. Find a 95% confidence interval for the mean of the number of hours of exercise per week for all students at this college.

c. Describe the distribution of the transformed data, and compare it with the distribution of the original data in part a.

d. Perform a log transform on the observations. Find the boundaries for a 95% confidence interval for the mean of the log-transformed times.

e. Convert the log interval boundaries back to units of hours. Interpret the resulting interval.

f. Which interval would you report: the interval for the population mean or the interval for the population geometric mean? Explain.

The table shows the data. Figure A shows a histogram of the data, and Figure B shows a histogram of the log transform (base 10) of the data.

a. Describe the distribution of the untransformed sample.

b. Find a 95% confidence interval for the mean of the number of hours of exercise per week for all students at this college.

c. Describe the distribution of the transformed data, and compare it with the distribution of the original data in part a.

d. Perform a log transform on the observations. Find the boundaries for a 95% confidence interval for the mean of the log-transformed times.

e. Convert the log interval boundaries back to units of hours. Interpret the resulting interval.

f. Which interval would you report: the interval for the population mean or the interval for the population geometric mean? Explain.

## Answer to relevant Questions

A Nielsen Poll asked people the number of hours of television they watched in the last week. Assume that Nielsen obtained a random sample. We are analyzing the data for the 39 college students in the sample. The figure shows ...Students in a statistics class were asked to measure their resting pulse rates. After that, the instructor unexpectedly screamed and ran from one side of the class to the other. Students again measured their pulse rates. The ...Typically, do men and women sleep different amounts? At a small private college in California, a random sample of students were asked how many hours of sleep they got last night. The figure shows the output for a ...Soda Does soda constitute a larger part of the diet for women than it does for men? A StatCrunch survey asked people to report the percentage of their liquid intake that is soda. The sample mean for the 169 females was ...Determine whether the number of texts sent by females and the number received by females are significantly different at the 0.05 level using a paired t-test.Post your question

0