Question

In a random sample of eight people, the average commute time to work was 35 minutes with a sample standard deviation of 7.2 minutes, Construct a 95% confidence interval

Answer 1

A 95% confidence interval for the average commute time of eight people is (29.8 minutes, 40.2 minutes). This confidence interval is calculated using the formula x ± (1.96 * (s/sqrt n)), where x is the sample mean, s is the sample standard deviation, and n is the sample size. In this case, the sample mean is 35 minutes, the sample standard deviation is 7.2 minutes, and the sample size is 8.

Answer 2

Therefore, we can say with 95% confidence that the population mean commute time is between 28.62 minutes and 41.38 minutes.