A Test of Sobriety Involves Measuring the Subject's Motor Skills

Multiple Choice

A test of sobriety involves measuring the subject's motor skills.Twenty randomly selected sober subjects take the test and produce a mean score of 41.0 with a standard deviation of 3.4.At a significance level of 0.01,test the claim that the true mean score for all sober subjects is equal to 39.0.

A) Reject the null hypothesis of μ = 39.0 with a P-value of 0.00823.There is strong evidence that the true mean score for sober subjects is not 39.0.
B) Reject the null hypothesis of μ = 39.0 with a P-value of 0.01647.There is sufficient evidence that the true mean score for sober subjects is different from 39.0.
C) Fail to reject the null hypothesis of μ = 39.0 with a P-value of 0.01647.There is not sufficient evidence that the true mean score for sober subjects is different from 39.0.
D) Fail to reject the null hypothesis of μ = 39.0 with a P-value of 0.02647.There is not sufficient evidence that the true mean score for sober subjects is different from 39.0.
E) There is not enough information to perform the test.