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 squggley 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?