(Answered) Question ten students were randomly selected from the

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Question: Ten students were randomly selected from the students in a university who took first-year calculus and first-year statistics. Their grades in these courses are recorded in the following table

(a) Produce a side-by-side boxplot for the data.

(b) Treating the calculus and statistics marks as separate samples, carry out a one-way ANOVA to test for any difference between the mean mark in calculus and the mean mark in statistics. Produce the appropriate plots to check for model assumptions.

(c) Now take into account that each student has a calculus mark and a statistics mark and test for any difference between the mean mark in calculus and the mean mark in statistics. Produce the appropriate plots to check for model assumptions. Compare your results with those obtained in part (b).

(d) Estimate the correlation between the calculus and statistics marks.

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