New diet program claims that participants will lose on average at least 25 pounds during the first week of the program. A random sample of 100 people participating in the program showed a sample mean weight loss of 4 pounds. The sample standard deviation was 9 pounds. Illustrate what is your conclusion about the claim made by the diet program? [five-step hypothesis test]

A production line operates with a filling mean weight of 20 pt. per container (not sure about the population standard deviation). Either overfilling or under-filling is a serious problem, and the production line should be shut down if either occurs. A quality control inspector samples 25 items every two hours and at that time makes the decision of whether to shut the line down for adjustment. If a sample mean of 22 pt. and a standard deviation of be 1 pt. was found, do you think it is overload (too much)? What action would you recommend with a 0.05 level of significance?

Step 1: Hypotheses, H0 and H1

Step 2: What is the level of significance? What test?

Step 3: Compute the test statistic

Step 4: Find the critical value from the table.

Step 5: What is your conclusion?