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Statistics and Probability

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Detecting a Shift in the Mean

STATS-WJMCNG

When carrying out a two-tailed hypothesis test of whether $\mu$ = 100, how does the probability of detecting a shift of the mean to 105 compare to the probability of detecting a shift of the mean to 110?

A

The probability of detecting a shift of the mean to 105 will be greater than the probability of detecting a shift of the mean to 110.

B

The probability of detecting a shift of the mean to 105 will be equal to the probability of detecting a shift of the mean to 110.

C

The probability of detecting a shift of the mean to 105 will be less than the probability of detecting a shift of the mean to 110.

D

The probability of detecting a shift of the mean to 105 will not comparable to the probability of detecting a shift of the mean to 110.