1.A test of abstract reasoning is given to a random sample of students before and after theycompleted a formal logic course. The results are given below. Construct a 95% confidenceinterval for the mean difference between the before and after scores. Before: 74, 83, 75, 88, 84,63, 93, 84, 91, 77. After: 73, 77, 70, 77, 74, 67, 95, 83, 84, 75.(0.2<ud<7.2)2.If the lengths of male skis and female skis are used to construct a 95% confidence interval for thedifference between the two population means, the result is 14.32 cm<μ1−μ2<21.95 cm, wherelengths of male skis correspond to population 1 and lengths of female skis correspond topopulation 2. Express the confidence interval with the lengths of female skis being population 1and lengths of male skis being population 2.(-21.95cm<u1-u2<-14.32cm)3.Use the given information to find the p-value. Also, use a 0.05 significance level and state theconclusion about the null hypothesis (reject the null hypothesis or fail to reject the null
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