Question

In a recent study of statistics students, a random sample of students were asked to provide the number of hours per week they spend studying for their statistics class. The results were used to compute confidence intervals for the population mean hours per week spent studying for statistics. The upper bound of a 95% confidence interval for the population mean hours per week that students spend studying for statistics was 7.67, and the margin of error for the same 95% confidence interval was E=0.38. In this confidence interval, what is the sample mean (x bar) hours per week spent studying for statistics? In the space below, provide your answer as a number rounded to two decimal places.

Answer 1

7.29

Explanation:

The upper bound of a 95% confidence interval for the population mean hours per week spent studying statistics is 7.67, and the margin of error is 0.38. To find the sample mean (x bar) hours per week spent studying statistics, we need to subtract the margin of error from the upper bound of the confidence interval.

Therefore, the sample mean (x bar) hours per week spent studying statistics can be calculated as:

7.67 - 0.38 = 7.29

So, the sample mean (x bar) hours per week spent studying statistics is approximately 7.29 (rounded to two decimal places).