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, 3, 8, 5, 9, 9, 5, 5, 3, 5. Assume squiggley 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?