A machine produces 5-inch nails. A sample of 12 nails was selected and their lengths determined. The results are as follows:
4.91 4.97 4.80 4.81 4.93 4.82 4.84 4.81 4.97 4.95 4.82 4.86
Assuming that = 0.05, test the hypothesis that the population mean is equal to 5.
· 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?