Question 1:

To investigate the youth use of the Internet, a sample of 6 adults was asked to report the number of hours they spent on the Internet during the last month. The results are listed below:

52, 87, 60, 49, 42, 61

The researchers claim that the number of hours the adults spent on the Internet exceeds 56

hours per month.

a.Find the point estimator of the mean () for the number of hours the adults spent on the Internet per month.

b.Construct the 90% confidence interval for. Report the final answer

Question 2:

The average score of all graders in school District A on a Math aptitude exam is 76.A random sample of 81 students in one school was taken and found that the mean score of these 81students was 73 with a standard deviation of 15.

a.Does this indicate that the students of this school are significantly less skilled in their mathematical abilities than the average student in the district?(Use a 5% level of significance.)

Hint: State and conduct a 5-step test of hypotheses for the claim

b.Construct and interpret the 95% confidence interval for the population mean.