[All Steps] A machine produces 3-inch nails. A sample of 12 nails was selected and their lengths determined. The results are as follows: Data 2.97 2.86
Question: A machine produces 3-inch nails. A sample of 12 nails was selected and their lengths determined. The results are as follows:
| Data |
| 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?
Deliverable: Word Document 