The manufacturer of a new compact car claims that the car will average at least 35 miles per gallon in general highway driving. For 100 test runs, the car averaged 35.5 miles per gallon with a standard deviation of 4 miles per gallon. Suppose that the manufacturer tests the following hypotheses: HO:H= 35 H1:H > 35 Consider the 5% significance level. What is the power of the test if the actual average fuel efficiency is 36 miles per gallon? a. 99.086% b. 88.877% O.95.254% d. 56.749% e. 80.511%

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QUESTION 2
The manufacturer of a new compact car claims that the car will average at least 35 miles per gallon in general highway driving.
For 100 test runs, the car averaged 35.5 miles per gallon with a standard deviation of 4 miles per gallon.
Suppose that the manufacturer tests the following hypotheses:
Ho:H= 35
H1:H > 35
Consider the 5% significance level. What is the power of the test if the actual average fuel efficiency is 36 miles per gallon?
O a. 99.086%
b. 88.877%
c. 95.254%
O d. 56.749%
O e. 80.511%
QUESTION 3
The production manager of a manufacturer wants to evaluate a modified ball bearing production process. When the process is operating properly, the process
produces ball bearings whose weights have a mean of 5 ounces and a standard deviation of 0.1 ounce. A new raw-material supplier was used for a recent
production run, and the manager wants to know if that change has caused any problem. If there was a problem, the mean weight of a ball bearing would be
different.
The manager will test the following hypotheses
HO:H=5 and H1#5
From a random sample of 100 ball bearings, the sample mean was 4.97. The significance level is specified as 1%. What is the probability of type I errors in this
hypothesis testing?
a. 4.97%
O b. 1.64%
O C. 1.00%
d. 0.03%
e. 5.00%
Transcribed Image Text:QUESTION 2 The manufacturer of a new compact car claims that the car will average at least 35 miles per gallon in general highway driving. For 100 test runs, the car averaged 35.5 miles per gallon with a standard deviation of 4 miles per gallon. Suppose that the manufacturer tests the following hypotheses: Ho:H= 35 H1:H > 35 Consider the 5% significance level. What is the power of the test if the actual average fuel efficiency is 36 miles per gallon? O a. 99.086% b. 88.877% c. 95.254% O d. 56.749% O e. 80.511% QUESTION 3 The production manager of a manufacturer wants to evaluate a modified ball bearing production process. When the process is operating properly, the process produces ball bearings whose weights have a mean of 5 ounces and a standard deviation of 0.1 ounce. A new raw-material supplier was used for a recent production run, and the manager wants to know if that change has caused any problem. If there was a problem, the mean weight of a ball bearing would be different. The manager will test the following hypotheses HO:H=5 and H1#5 From a random sample of 100 ball bearings, the sample mean was 4.97. The significance level is specified as 1%. What is the probability of type I errors in this hypothesis testing? a. 4.97% O b. 1.64% O C. 1.00% d. 0.03% e. 5.00%
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