Question: The US Mint selects ten pennies from the production line to test the hypothesis that the mean weight of each penny is at least 6 grams. The normally-distributed weights (in grams) of these pennies are as follows: 8, 7, 4, 10, 1, 8, 6, 4, 4, 3. Assume a = 0.01.
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?