Question

(a) A local council is investigating the off-peak travel times of buses on a particular route. A random sample of 46 observations on this route gave a sample average for the travel times of 23.1 minutes and a sample standard deviation (s) of 1.46 minutes. Use this information to provide a 95% confidence interval for the true mean off-peak travel time μ of buses on this route.

(b) A group of students at a certain university believes that the more than half of students at their university live with their families while studying. They surveyed a random sample of 839 current students at their university, and found that 443 of them were living with their families.

-Denoting the true proportion of students who live with their families as p, the investigating students wish to test the null hypothesis H0: p = 0.5 against the alternative hypothesis H1: p > 0.5.

-Based on your answer from part (i), use the relevant table to find the p-value for this test.

- Based on your p-value, what conclusion do you draw about the proportion of students from this university who live with their families while studying?

Answer 1