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Construct a 99% confidence interval for the means of two populations. Assume the samples have been...

Construct a 99% confidence interval for the means of two populations. Assume the samples have been randomly selected from normally distributed populations. Five students took a math test before and after tutoring. Their scores were as follows. Subject A B C D E Before 71 66 67 77 75 After 75 75 65 80 87 The mean difference (d) is -5.2 and the standard deviation of the difference (Sd) is 5.45. Based on your result, does it appear that tutoring has an impact?

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Sample mean-x5.2 Sample S.D-s-5.45 Sample size 5 Significance Level = α = 0.01 Critical value*4.604 Standard Error24373 Margin of Error t11.2216 Lower Limit=x-(Margin of Error)--16.422 Upper Limit = x + (Margin of Error)-6.022 The 99%CI is (-16.422, 6.022) or-16.422- 1< 6.022. As the C.I contains 0, there is not sufficient evidence to conclude that tutoring has an impact

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