Question: The US Mint selects ten pennies from the production line to test the hypothesis that the mean weight of each penny is 4 grams. The normally-distributed weights (in grams) of these pennies are as follows: 7, 6, 1, 6, 7, 8, 8, 9, 10, 7. 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?