# Question

Repeat the previous exercise, using lower? α = .05. For each true value of, is the power higher or lower?

Previous exercise

For a certain wine, the mean pH (a measure of acidity) is supposed to be 3.50 with a known standard deviation of α = .10. The quality inspector examines 25 bottles at random to test whether the pH is too low, using a left-tailed test at α = .01.

(a) What is the power of this test if the true mean is α = 3.48?

(b) If the true mean is α = 3.46?

(c) If the true mean is α = 3.44?

Previous exercise

For a certain wine, the mean pH (a measure of acidity) is supposed to be 3.50 with a known standard deviation of α = .10. The quality inspector examines 25 bottles at random to test whether the pH is too low, using a left-tailed test at α = .01.

(a) What is the power of this test if the true mean is α = 3.48?

(b) If the true mean is α = 3.46?

(c) If the true mean is α = 3.44?

## Answer to relevant Questions

A sample of size n = 15 has variance s2 = 35. At α = .01 in a left-tailed test, does this sample contradict the hypothesis that σ2 = 50? Suppose you always reject the null hypothesis, regardless of any sample evidence. (a) What is the probability of Type II error? (b) Why is this a bad policy? Malcheon Health Clinic claims that the average waiting time for a patient is 20 minutes or less. A random sample of 15 patients shows a mean wait time of 24.77 minutes with a standard deviation of 7.26 minutes. (a) Write the ...A sample of 100 one-dollar bills from the Subway cash register revealed that 16 had some- thing written on them besides the normal printing (e.g., "Bob ♥ Mary"). (a) At α = .05, is this sample evidence consistent with the ...A digital camcorder repair service has set a goal not to exceed an average of 5 working days from the time the unit is brought in to the time repairs are completed. A random sample of 12 repair records showed the following ...Post your question

0