Define the parameter of interest and state the relevant hypotheses. b. Suppose braking distance for the new system is normally distributed with o = 10. Let X denote the sample average braking distance for a random sample of 36 observations. Assume the rejection region is = 115, calculate the probability of a. %3D

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Author:Amos Gilat
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A new design for the braking system on a certain type of car
has been proposed. For the current system, the true average
braking distance at 40 mph under specified conditions is known
to be 120 ft. It is proposed that the new design be implemented
only if sample data strongly indicates a reduction in true average
braking distance for the new design.
Define the parameter of interest and state the relevant
hypotheses.
Suppose braking distance for the new system is normally
distributed with o = 10. Let X denote the sample average
braking distance for a random sample of 36 observations.
Assume the rejection region is = 115, calculate the
probability of
a.
b.
%3D
Transcribed Image Text:A new design for the braking system on a certain type of car has been proposed. For the current system, the true average braking distance at 40 mph under specified conditions is known to be 120 ft. It is proposed that the new design be implemented only if sample data strongly indicates a reduction in true average braking distance for the new design. Define the parameter of interest and state the relevant hypotheses. Suppose braking distance for the new system is normally distributed with o = 10. Let X denote the sample average braking distance for a random sample of 36 observations. Assume the rejection region is = 115, calculate the probability of a. b. %3D
a. type I error
b. type II error when x = 117
Transcribed Image Text:a. type I error b. type II error when x = 117
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