Question: A machine produces 3-inch nails. A sample of 12 nails was selected and their lengths determined. The results are as follows:
2.94  2.96  3.01  3.01  3.03  3.03  3.03  3.03  3.07  2.93  3.00  3.07
Assuming that a = 0.01, test the hypothesis that the population mean is equal to 3.
State the null and alternate hypotheses
Calculate the mean and standard deviation
Determine which test statistic applies, and calculate it
Determine the critical value(s).
State your decision: Should the null hypothesis be rejected?

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