Pauly s Pizza claims that the mean time it takes for them to deliver a pizza to dorms at Nate s college is 30 minutes After a long wait one night Nate decides to test this claim He randomly selects 15 dormitory residents and asks them to record the time it takes for Pauly s Pizza to deliver the next time they order pizza Here are the results in minutes 31 38 39 25 26 454232 2338 42 21 40 37 28 a The sample mean is x 33 8 and the sample standard deviation is sx 7 72 Calculate and interpret the standard error of the mean for these data b Construct and interpret a 90 confidence interval for the true mean delivery time Does the data support