Question

A poll of 16 adults in Florida that are employed were asked, “How much total time in minutes do you spend commuting to and from work in a typical day?” Survey results (in minutes) are shown in the table below. Assume the daily commute time to and from work in Florida is normally distributed.

38.4 22.9 32.7 40.1

22.4 22.0 37.2 31.5

33.8 44.5 49.3 39.6

28.4 40.6 43.2 23.6

(a) (1 pt) Obtain a point estimate for µ, the mean commute time of working adults from Florida.

(b) (2 pts) Verify that the requirements for constructing a confidence interval about µ are satisfied.(You must state the requirements).

(c) (2 pts) Construct a 95% confidence interval for the mean commute time of working adults from Florida. 1

(d) (2 pts) Interpret the confidence interval in part(d).

Answer 1