1.

Given that random variable X is normally distributed with = 100 and =16, determine the probability that X is greater than 96.

A. -0.4013

B. 0.4013

C. -0.25

D. 0.5987

2.

Machinery in an assembly line should be stopped for a service if the average number of defective products is greater than 5 per day. The quality control manager is using the following hypotheses:

Ho: = 5

Ha: > 5

Which of the following best describes a Type II error in the context of this question?

Select one:

A. Incorrectly reject Ho.

B. Incorrectly keep the machine running when it should have been stopped for a service.

C. Incorrectly stop the machine for a service when it should have been kept running.

D. Incorrectly accept Ha.

3.

You are given the following information:

Ho: =120

Ha: 120

is known to be 5 and n 30.

Which of the following best describes this hypothesis test?

Select one:

A. A two-tail t test.

B. A one-tail Z test.

C. A two-tail Z test.

D. A one-tail t test.