19-11-2018

Chapter 9 (continued)

Problem 3. Consider the following hypothesis test:

H0 : μ >= 20

Ha: μ < 20

A sample of 50 provided a sample mean of 19.4. The population standard deviation is 2.

• 1. Compute the value of the test statistic.

  2. What is the p-value? (Not in syllabus)

  3. Using α = .05, what is the rejection rule using the critical value? What is your conclusion?

Problem 4. Consider the following hypothesis test:

H0: μ = 15

Ha: μ != 15

A sample of 50 provided a sample mean of 14.15. The population standard deviation is 3.

• 1. Compute the value of the test statistic.

  2. What is the p-value? (Not in syllabus)

  3. At α = .05, what is the rejection rule using the critical value? What is your conclusion?

Problem 5. Consider the following hypothesis test:

H0: μ <= 12

Ha: μ > 12

A sample of 25 provided a sample mean of 14 and a sample standard deviation of 4.32.

• 1. At α = .05, what is the rejection rule?

  2. What is your conclusion?

Problem 6. Consider the following hypothesis test:

H0: μ = 18

Ha: μ != 18

A sample of 48 provided a sample mean of 17 and a sample standard deviation of 4.5.

• 1. At α = .05, what is the rejection rule?

  2. What is your conclusion?