# Test Hypothesis

5. To test the null hypothesis that the average lifetime for a particular brand of bulb is 750 hours versus the alternative that the average lifetime is different from 750 hours, a sample of 75 bulbs is used. If the standard deviation is 50 hours and alpha is equal to 0.01, what values for x-bar will result in rejection of the null hypothesis.

6. Describe the action that would result in a type I error and a type II error if each of the following null hypotheses were tested.

a. H0: There is no waste in US Defense Department spending

b. H0: This fast-food menu is not low fat

8. Determine the critical region and critical values for z that would be used to test the null hypothesis at the given level of significance, as described in each of the following:

a. H0: mu = 25 and Ha: mu not equal 25, alpha = 0.10

b. H0: mu = 32 and Ha: mu > 32, alpha = 0.01

c. H0: mu = 13 and Ha: mu < 13, alpha = 0.05

https://brainmass.com/statistics/hypothesis-testing/test-hypothesis-143217

#### Solution Summary

This solution tests hypotheses and answers and explains the questions that follow