In a sample of size 33 a sample mean of 382.97 and a sample standard deviation of

Question:

In a sample of size 33 a sample mean of 382.97 and a sample standard deviation of 3.81 are obtained.
(a) Use an appropriate hypothesis test to assess whether there is sufficient evidence to establish that the population mean is different from 385.
(b) Construct a 999? two-sided confidence interval for the population mean.