Question: You’ve heard that students from another statistics class have been taking a Statistics Pill hoping to understand statistics better. The thing is, it’s not yet known whether the pill makes you smarter or dumber. To test what effect the Statistics Pill has on statistics knowledge, you ask 11 students from the other class their marks in the course. Their marks are:

You also find out that the average mark in classes where students have not taken a Statistics Pill is 56. Based on the sample of 11 students, what can you conclude about the Statistics Pill’s effect on students’ marks? Do you reject or fail to reject the null hypothesis? What percentage of the variance in the marks can be accounted for by the Statistics Pill? Assuming α=0.01, state your hypotheses, the critical test statistic, your conclusion, and show all your work. (14 marks)

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