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A consumer research group is interested in testing an automobile manufacturer's claim that a new economy...

A consumer research group is interested in testing an automobile manufacturer's claim that a new economy model will travel at least 26 miles per gallon of gasoline (H 0:   26).

  1. With a .02 level of significance and a sample of 30 cars, what is the rejection rule based on the value of  for the test to determine whether the manufacturer's claim should be rejected (to 2 decimals)? Assume that  is 6 miles per gallon.

    Reject H 0 if  is Selectless than or equal togreater than or equal toequal tonot equal toItem 1   
  2. What is the probability of committing a Type II error if the actual mileage is 24 miles per gallon (to 4 decimals)?

  3. What is the probability of committing a Type II error if the actual mileage is 25 miles per gallon (to 4 decimals)?

  4. What is the probability of committing a Type II error if the actual mileage is 26.5 miles per gallon?
    SelectThe probability is greater than .5The probability is between .1 and .5The probability is .02A Type II error cannot be made because the null hypothesis is true.Item 5

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