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?

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