Question

Please show work/explain:

Based on a random sample of 25 units of product X, the average weight is 102 lb and the sample standard deviation is 10 lb. We would like to decide whether there is enough evidence to establish that the average weight for the population of product X is greater than 100 lb. Assume the population is normally distributed. Using the critical value rule, at α = .01.

What is the critical value for this hypothesis test?

Group of answer choices

1

1.28

2.492

1.645

2.

A test of Ho: p ≥ 0.6 vs. Ha: p < 0.6 fails to reject the null hypothesis. Later it is discovered that p = 0.5. What type of error, if any, has been made?

Group of answer choices

No error occurred because the null hypothesis was rightfully not rejected.

A Type II error occurred because the null hypothesis should have been rejected.

A Type I error occurred because the null hypothesis should not have been rejected.

Answer 1