Question: The US Mint selects ten pennies from the production line to test the hypothesis that the mean weight of each penny is 5 grams. The normally-distributed weights (in grams) of these pennies are as follows: 1, 5, 8, 4, 8, 4, 9, 2, 6, 8. Assume a = 0.05.

? State the null and alternate hypotheses?

? Calculate the sample mean and standard deviation

? Determine which test statistic is appropriate (z or t), and calculate its value.

? Determine the critical value(s).

? State your decision: Should the null hypothesis be rejected?