A new braking system is being evaluated for a certain type of car. The braking system will be installed if it can be conclusively demonstrated that the stopping distance under certain controlled conditions at a speed of 30 mi/h is less than 87 ft. It is known that under these conditions the standard deviation of stopping distance is approximately 4.85 ft. A sample of 150 stops will be made from a speed of 30 mi/h. Let µ represent the mean stopping distance for the new braking system. Someone suggests rejecting H0 if X¯ ≥ 86.6 ft. Is this an appropriate rejection region, or is something wrong? If this is an appropriate rejection region, find the level of the test. Otherwise explain what is wrong. (select from the following options) (A) This is an appropriate rejection region. The level of the test is 0.12. ( B) This is not an appropriate rejection region, because the rejection region is of the form X¯ ≥ x0.
A new braking system is being evaluated for a certain type of car. The braking system will be installed if it can be conclusively demonstrated that the stopping distance under certain controlled conditions at a speed of 30 mi/h is less than 87 ft. It is known that under these conditions the standard deviation of stopping distance is approximately 4.85 ft. A sample of 150 stops will be made from a speed of 30 mi/h. Let µ represent the mean stopping distance for the new braking system. Someone suggests rejecting H0 if X¯ ≥ 86.6 ft. Is this an appropriate rejection region, or is something wrong? If this is an appropriate rejection region, find the level of the test. Otherwise explain what is wrong. (select from the following options)
(A) This is an appropriate rejection region. The level of the test is 0.12. (
B) This is not an appropriate rejection region, because the rejection region is of the form X¯ ≥ x0.
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