It has been reported that the average time to download the home page from a government website was 0.9 seconds. Suppose that the download times were normally distributed with a standard deviation of 0.3 seconds. If random samples of 36 download times are selected:
(a) Describe the shape of the sampling distribution. How was this determined?
(b) Calculate the mean of the sampling distribution of the sample mean.
(c) Calculate the standard deviation of the sampling distribution of the sample mean.
(d) 80% of the sample means will be between what two values that are symmetrically distributed around the population mean?
(e) What is the probability that the sample mean will be less than 0.80 seconds?