Suppose that at a local university the study guidelines for the College of Science and Math are to study two to three hours per unit per week The instructor of the class, Orientation to the Statistics Major, takes these guidelines very seriously, and asks students to record their study time each week At the end of the term the instructor comparesstudents'average study time per week to their term GPA The SAS data set called STUDY GPA contains student identification information, orientation course section number, number of units enrolled, average time studied, and term GPA (a)Plot the histogram for hours of study Use the start point 0 and bandwidth 5 Also, overlaid to this graph, display the plots for the kernel density and the best fitting normal curve Using an eyeballing approach, can we say the hours of study follows a normal distribution (Hint to plot a histogram with a starting point of 0, and bandwith of 5, you can use the features of the histogram command binstart 0 binwidth 5) (b)Now, suppose you want to test the normality not just by eyeballing Conduct a statistical test to check whether the hours of study follows a normal distribution (Hint You can use the Univariate procedure) (c)Conduct a hypothesis test to check whether there exists a significance correlation between units enrolled, hours of study and GPA for section 1 What is your conclusion What variable you think may cause the other (Note that causality and correlation are two different concepts In most managerial situations, we are interested in causality rather than just correlation Think carefully when you answer this part There may not be a definite correct answer when it comes to the causality argument You will be given the credit as long as your reasoning is plausible )

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Suppose that at a local university the study guidelines for the College of Science and Math are to study two to three hours per unit

Suppose that at a local university the study guidelines for the College of Science and Math are to study two to three hours per unit per week. The instructor of the class, Orientation to the Statistics Major, takes these guidelines very seriously, and asks students to record their study time each week. At the end of the term the instructor comparesstudents'average study time per week to their term GPA. The SAS data set called STUDY_GPA contains student identification information, orientation course-section number, number of units enrolled, average time studied, and term GPA.

(a)Plot the histogram for hours of study. Use the start point=0 and bandwidth=5. Also, overlaid to this graph, display the plots for the kernel density and the best fitting normal curve. Using an eyeballing approach, can we say the hours of study follows a normal distribution?
(Hint:to plot a histogram with a starting point of 0, and bandwith of 5, you can use the features of the histogram command: /binstart =0 binwidth = 5)
(b)Now, suppose you want to test the normality not just by eyeballing. Conduct a statistical test to check whether the hours of study follows a normal distribution.
(Hint:You can use the Univariate procedure)
(c)Conduct a hypothesis test to check whether there exists a significance correlation between units enrolled, hours of study and GPA for section 1. What is your conclusion? What variable you think may cause the other?

(Note that causality and correlation are two different concepts. In most managerial situations, we are interested in causality rather than just correlation. Think carefully when you answer this part. There may not be a definite correct answer when it comes to the causality argument. You will be given the credit as long as your reasoning is plausible.)