Question: A machine produces 3-inch nails. A sample of 12 nails was selected and their lengths determined. The results are as follows:
2.97 2.86 2.82 2.86 2.95 2.80 2.81 2.98 2.88 2.83 2.95 2.95
Assuming that = 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?