1. A test of sobriety involves measuring the subject's motor skills. A sample of n = 20 randomly selected sober subjects take the test and produce a mean score of x = 41.0 with a standard deviation of s = 3.7. At the 0.01 level of significance, test the claim that the true mean score for all sober subjects is equal to 35.0. Use the traditional method of testing hypotheses. (Hypothesis Test for 1 Mean, Sigma Unknown)

A) H₀: = 35.0. H₁: 35.0. Test statistic: t = 7.252. Critical values: t = -2.861, 2.861. Reject H₀. There is sufficient evidence to warrant rejection of the claim that the mean is equal to 35.0.

B) H₀: = 45.0. H₁: 55.0. Test statistic: t = -7.252. Critical values: t = 0.861, 2.861. Fail to reject H₀. There is insufficient evidence to warrant rejection of the claim that the mean is equal to 35.0.

2. A test of sobriety involves measuring the subject's motor skills. A sample of n = 20 randomly selected sober subjects take the test and produce a mean score of x = 41.0 with a standard deviation of s = 3.7. At the 0.01 level of significance, test the claim that the true mean score for all sober subjects is equal to 35.0. Use the traditional method of testing hypotheses. (Hypothesis Test for 1 Mean, Sigma Unknown)

A) H₀: = 35.0. H₁: 35.0. Test statistic: t = 7.252. Critical values: t = -2.861, 2.861. Reject H₀. There is sufficient evidence to warrant rejection of the claim that the mean is equal to 35.0.

B) H₀: = 45.0. H₁: 55.0. Test statistic: t = -7.252. Critical values: t = 0.861, 2.861. Fail to reject H₀. There is insufficient evidence to warrant rejection of the claim that the mean is equal to 35.0.