# Hypothesis testing problem

A machine produces 5-inch nails. A sample of 12 nails was selected and their lengths determined. The results are as follows:

4.85 4.80 4.89 4.82 4.94 4.96 4.96 4.83 4.80 4.84 4.95 4.88

Assuming that = 0.10, 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?

https://brainmass.com/statistics/hypothesis-testing/hypothesis-testing-problem-289192

#### Solution Preview

Test hypothesis

A machine produces 5-inch nails. A sample of 12 nails was selected and their lengths determined. The results are as follows:

4.85 4.80 4.89 4.82 4.94 4.96 4.96 4.83 4.80 4.84 4.95 4.88

Assuming that = 0.10, test the hypothesis that the population mean is equal to 5.

State the null ...

#### Solution Summary

The solution provides step by step method for the calculation of test statistic . Formula for the calculation and Interpretations of the results are also included.