Please answer all parts:

Answer the following multiple choice question:

I Kl) Which of the following statement(s) about the following hypothesis test: Ho:u1-u2=0vs.Ha:u1-M20 is / are correct with an observed p-value of 0.0268? P[null hypothesis is true) 2 0.0268 The 95% confidence interval for m p2 would contain 0 The 99% confidence interval for 141 142 would contain 0 There is evidence against H0, based on the observed data P9393!" A) All of the above 4 statements are correct B) 1., 3., and 4. are correct C) 1. and 4. are correct D) 2., 3., and 4. are correct E) 3., and 4. are correct F) The correct answer is not given k\" ) Why is a condence interval for the difference in population means often given, instead of just the point estimate, the difference in sample means? 1. Because you want to quantify the uncertainty in your point estimate 2. Because the sample means are biased estimates of the population means 3. Because the population means uctuate from sample to sample around the target, the difference in sample means 4. Because you want an interval of values of the unknown difference in the population parameters supported by the data A) 1., 2., and 3. are valid reasons B) 1., and 3. are valid reasons C) 1., and 2. are valid reasons D) 1., 3., and 4. are valid reasons E] 1. and 4. are valid reasons F] 1., 2., 3., and 4. are valid reasons Ull ) In a twosample problem an experimenter draws independent random samples from each population and observes n1 = 13, sample mean = 0.0548, 51 = 0.00128 from population 1 and n2 = 15, sample mean = 0.0559, 52 = 0.00096 from population 2. Numerical and graphical summaries were used to decide that a G(u,o) model was a suitable model for the data collected from each population. In this case, the parameters u and o are unknown in each population, and the population variances are assumed to be equal. Consider a two-sided hypothesis test of Ho: H1 = uz vs. Ha: H1 :t uz. According to Table 5.1 guidelines in the Course Notes, which of the following statements is correct? A) There is no evidence against H0 based on the observed data B) There is weak evidence against Ho based on the observed data C] There is evidence against H0 based on the observed data D) There is strong evidence against Ho based on the observed data E) There is very strong evidence against H0 based on the observed data