Is this right?

1. (3 points) A group of Hendrix students and Rhodes students each take a stats exam. Their results are listed below. Hendrix Rhodes 85 2 82.4 3 2 5.3 27 23 Is there evidence at a = 0.05 to support a claim that there is a difference in statistics ability (as measured by the exam) between the schools-assuming unequal variances? You should include each of the following: (a) What test are you using? Give a brief explanation for your answer. (b) What are the populations which are sampled? (c) Is this one or two tailed? (d) Clearly state both the null and alternative hypotheses. (e) Determine ferit and teamp, and/or a p value. (f) What decision do you make about your hypotheses? Briefly, interpret this answer in terms of the actual situation - what do we know about the two schools? (g) Construct an appropriate confidence interval for the difference in means of scores on the exam between the two schools. (h) Include an effect size index and interpretation, as appropriate. A). Two sample I-test independent unequal variances because we have no reason to suspect that the variances are the same . b). Population 1 is all Hendrix students taking the stats exam. Populationz is all Rhodes students taking the stats exam ( ) . Two tailed d), H. : Anax = Heades; no difference in statistics ability measured by the exam scores HI: Muon # Hanodes; there is a difference in statistics ability measured by the exam scores 2) . + crit = 2. 0327 + + samp = 2. 2132 f ). We reject Ho: We have strong evidence, at of =0. 05 to support a claim that there is a difference in statistics ability measured by the exam scores 3). A 95%% confidence interval for the difference in means of scores on fle exam between the two schools is [ 0. 2 289, 5. 3711]. h). The effect that Hendrix has on students Exam scores population is 0. 64, Hendrix has a medium -large effect on students exam scores population