Exercise Hours 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 com-munity 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
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.
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