III.Questions using R (5 pts)

The data set "anova_classdata.csv" contains the heights and self-rated driving abilities of individuals in our class. The variable height contains the height (in inches) of students in our class and the variable driving contains the a response to the question "How are your driving skills?" with responses "Below Average", "Average", or "Above Average". Read in the .csv (comma separated values) file using the read.csv() function in R and answer the following questions.

1.(1 pt)What is the average height (in inches) of students in each of the three groups?

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2.(1 pt) State the null and alternative hypotheses

H₀:

H₁:

3.(1 pt) Perform the ANOVA test in R to determine if there is a significant difference in average height among any of the three groups. Hint: use the summary function in R. You may use the p-value approach or the critical value approach, but be sure to justify your answer. In other words, state whether you reject for fail to reject the null, and describe how you used either alpha and the pvalue or the critical value and the observed F statistic in your decision.

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4.(1 pt) What is your conclusion in context of the problem?

5.(1 pt) Based on your results should you perform a post hoc test? If so, use R to report the pairwise differences between each of the groups and state whether each pairwise difference is significant or not.

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