Question

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 H_o?

   	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

Answer 1

H0 : μ ≤ 20, Ha : μ > 20

2.33

reject if Z>2.33

yes since z>z0.01

power 0.7324

using minitab