Question: The following two samples show the grades obtained by students in two exams (A and B). Exam_A 68, 75, 87 ,99, 72, 72, 65, 64,

The following two samples show the grades obtained by students in two exams (A and B).

Exam_A

68, 75, 87 ,99, 72, 72, 65, 64, 61, 70, 77 ,70 ,67, 73, 83, 55,58, 54

Exam_B

49, 52, 63, 58, 60, 62 ,66 ,67, 71, 55, 66, 63, 56, 61, 60, 57, 63, 56, 57, 60 ,59 ,55,67, 64 ,58 ,63, 54 ,63, 63, 66

Code answers in R

1) Enter the above grades in to R using two variables, Exam A and Exam B

2) Display the grades using histograms

3) Are there any outliers in the data (Hint: use boxplot)

4) Calculate the Q1, Q2, Q3 and interpret these values for both exams

5) calculate 95% confidence interval for each exam and interpret the confidence intervals

6) Does the data suggest the average grade of all students who took the first exam A is less than 60? (Hint: Conduct a hypothesis test)

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