A consumer research group is interested in testing an automobile manufacturer's claim that a new economy model will travel at least 25 miles per gallon of gasoline (H 0: µ > 25). a. With a .02 level of significance and a sample of 30 cars, what is the rejection rule based on the value of x for the test to determine whether the manufacturer's claim should be rejected (to 2 decimals)? Assume that o is 5 miles per gallon. Reject H o if X is less than or equal to b. What is the probability of committing a Type II error if the actual mileage is 23 miles per gallon (to 4 decimals)? .0537 c. What is the probability of committing a Type II error if the actual mileage is 24 miles per gallon (to 4 decimals)? .5871

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A consumer research group is interested in testing an automobile manufacturer's claim that a new economy model will travel
at least 25 miles per gallon of gasoline (H 0: µ > 25).
a. With a .02 level of significance and a sample of 30 cars, what is the rejection rule based on the value of x for the test to
determine whether the manufacturer's claim should be rejected (to 2 decimals)? Assume that o is 5 miles per gallon.
Reject Ho if X is less than or equal to
b. What is the probability of committing a Type II error if the actual mileage is 23 miles per gallon (to 4 decimals)?
.0537
c. What is the probability of committing a Type II error if the actual mileage is 24 miles per gallon (to 4 decimals)?
.5871
d. What is the probability of committing a Type II error if the actual mileage is 25.5 miles per gallon?
A Type II error cannot be made because the null hypothesis is true.
Transcribed Image Text:A consumer research group is interested in testing an automobile manufacturer's claim that a new economy model will travel at least 25 miles per gallon of gasoline (H 0: µ > 25). a. With a .02 level of significance and a sample of 30 cars, what is the rejection rule based on the value of x for the test to determine whether the manufacturer's claim should be rejected (to 2 decimals)? Assume that o is 5 miles per gallon. Reject Ho if X is less than or equal to b. What is the probability of committing a Type II error if the actual mileage is 23 miles per gallon (to 4 decimals)? .0537 c. What is the probability of committing a Type II error if the actual mileage is 24 miles per gallon (to 4 decimals)? .5871 d. What is the probability of committing a Type II error if the actual mileage is 25.5 miles per gallon? A Type II error cannot be made because the null hypothesis is true.
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