Question

# Use the following information to answer questions 1-5. The feasibility of constructing a profitable electricity-producing windmill...

1. Use the following information to answer questions 1-5.

The feasibility of constructing a profitable electricity-producing windmill depends on the average velocity of the wind. For a certain type of windmill, the average wind speed would have to exceed 20 mph in order for its construction to be feasible. To test whether a particular site is appropriate for this windmill, 50 readings of the wind velocity are taken, and the average is calculated. Assume that the standard deviation is σ=12 mph. Since the consequence of a wrong decision results building the windmill on an inappropriate site, and a windmill is quite costly, we specify a small value for a Type I error, α=0.01. Compute the power of the test if, in fact, the population mean is 25.

Which of the following is the correct hypothesis test?

 a. H0 : μ ≤ 20, Ha : μ > 20 b. H0 : μ ≤ 25, Ha : μ > 25 c. H0 : μ < 20, Ha : μ > 20

1 points

QUESTION 2

1. Determine the critical value:

 a. 0.99 b. -2.33 c. 2.33

1 points

QUESTION 3

1. Which of the following is true in regards to the rejection region?

 a. Reject if H0 if z < 2.33 . b. Reject if H0 if z > 2.33 . c. Reject if H0 if z = 2.33 .

1 points

QUESTION 4

1. Is there sufficient evidence to reject Ho?

 a. Yes, because Z ≥ Z 0.01 . b. No, because Z > Z0.01. c. Yes, because Z ≤ Z 0.01 .

1 points

QUESTION 5

1. What is the probability that the sample mean will be within the acceptance region?

 a. 0.2676 b. 0.1741 c. 0.7324

H0 : μ ≤ 20, Ha : μ > 20

2.33

reject if Z>2.33

yes since z>z0.01

power 0.7324

using minitab