Use the following information to answer questions 15.
The feasibility of constructing a profitable electricityproducing 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. 
H_{0} : μ ≤ 20, H_{a} : μ > 20 

b. 
H_{0} : μ ≤ 25, H_{a} : μ > 25 

c. 
H_{0} : μ < 20, H_{a} : μ > 20 
1 points
QUESTION 2
Determine the critical value:
a. 
0.99 

b. 
2.33 

c. 
2.33 
1 points
QUESTION 3
Which of the following is true in regards to the rejection region?
a. 
Reject if H_{0} if z < 2.33 . 

b. 
Reject if H_{0} if z > 2.33 . 

c. 
Reject if H_{0} if z = 2.33 . 
1 points
QUESTION 4
Is there sufficient evidence to reject H_{o}?
a. 
Yes, because Z ≥ Z _{0.01} . 

b. 
No, because Z > Z_{0.01.} 

c. 
Yes, because Z ≤ Z _{0.01 .} 
1 points
QUESTION 5
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
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