A test of sobriety involves measuring the subject's motor skills.Sixty-four randomly selected sober subjects take the test and produce a mean score of 41.0 with a standard deviation of 3.4.Test the claim that the true mean score for all sober subjects is equal to 40.5.
A) Fail to reject the null hypothesis of μ = 40.5 with a P-value of 0.0265.There is not sufficient evidence that the true mean score for sober subjects is different from 40.5.
B) Reject the null hypothesis of μ = 40.5 with a P-value of 0.0165.There is sufficient evidence that the true mean score for sober subjects is different from 40.5.
C) Reject the null hypothesis of μ = 40.5 with a P-value of 0.1190.There is strong evidence that the true mean score for sober subjects is not 40.5.
D) Fail to reject the null hypothesis of μ = 40.5 with a P-value of 0.2380.There is not sufficient evidence that the true mean score for sober subjects is different from 40.5.
E) There is not enough information to perform the test.
Correct Answer:
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