Assume that a simple random sample has been selected from a normally distributed population and test the given claim. Use either the traditional method or -value method as indicated. Identify the null and alternative hypotheses, test statistic, critical value(s) or P-value (or range of P-values) as appropriate, and state the final conclusion that addresses the original claim. 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) Answer A: Ho: M = 35.0. Hg: M 35.0. Test statistic: t = 7.252. Critical values: t = -2.861, 2.861. Reject Ho- There is sufficient evidence to warrant rejection of the claim that the mean is equal to 35.0. Answer B: Ho: | - 45.0. H1: 4 7 55.0. Test statistic:t=-7.252. Critical values: t-0.861, 2.861. Fail to reject Ho. There is insufficient evidence to warrant rejection of the claim that the mean is equal to 35.0