Use this scenario to answer questions 6-8.

A new weight loss center is in town. The owners advertise that patients will lose 8 pounds the first two weeks. Weight loss was recorded for a random sample of 50 patients after the first two weeks on the program and the mean weight loss was 7.5 pounds. The population standard deviation is 1.4 pounds. Does the sample evidence support this claim or is the weight loss less than the advertising claim of 8 pounds?

Question 1 (Multiple Choice)

What is the alternate hypothesis needed to test the scenario above?

a) Ha: <8

b) Ha: >8

c) Ha: 8

Question 2

Conduct the hypothesis test. According to the results, is the clinic's claim accurate? Explain your answer.

Question 3

Identify the Type I and Type II errors and the potential issues associated with making each type of error in this situation.