The midterm grades for two high school algebra classes are provided in the tables below. For convenience, the data have been ordered. Class 1: 72 73 74 75 76 79 82 83 84 86 91
92 93 93 94 95 97 97 98 98
Class 2: 59 65 68 69 72 73 78 80 82 82
83 83 85 88 88 89 94 96 97 98
A. Sketch parallel boxplots for the two classes.
B. Which class has the better overall performance? Justify your answer.
C. The teacher for the two classes calculates a 90% confidence interval for the difference in mean midterm grades between Class #1 and Class #2. The confidence interval is (0.09299, 11.413). Assume that confidence interval conditions are met. Based on the confidence interval, do you think there is a difference in the population mean midterm grades for the two classes? Explain.

Following are the responses to the given question:

Step-by-step explanation:

For point a:

In R-Studio, we first insert the data set,

Please notice that perhaps the blue colored lines are input and the green lines are R-Studio results.

We will get the smallest observation, first, mid, third, and largest quartile for both classes and use a summary of 5 numbers,

The table can be defined as follows:

The parallel boxplots in R-Studio as,

Please find the graph file.

For point b:

Its performance overall of Class 1 is better, while the median of class 1 is greater than class 2, as well as the value (grades) of class 1, is less dispersed in relation to class 2.

For point c:

The stated 90 percent confidence interval for a significant difference is (0.09299, 11.413) Users now calculate the difference among Class 1 and Class 2 plan presented of mean value as:

Its discrepancy among two estimations is between confidence interval of 90 percent (0.09299, 11.413). Its mean population of grades of two classes therefore differs significantly.