Question

In: Statistics and Probability

2. Identify the variables mentioned in the narrative paragraph and determine which are categorical and quantitative?...

2. Identify the variables mentioned in the narrative paragraph and determine which are categorical and quantitative?

3. Create one variable to hold a subset of your data set that contains only the Regular Section and one variable for the Sports Section.

4. Use the Plot function to plot each Sections scores and the number of students achieving that score. Use additional Plot Arguments to label the graph and give each axis an appropriate label. Once you have produced your Plots answer the following questions:

a. Comparing and contrasting the point distributions between the two section, looking at both tendency and consistency: Can you say that one section tended to score more points than the other? Justify and explain your answer.

b. Did every student in one section score more points than every student in the other section? If not, explain what a statistical tendency means in this context.

c. What could be one additional variable that was not mentioned in the narrative that could be influencing the point distributions between the two sections?

Count Score Section
10 200 Sports
10 205 Sports
20 235 Sports
10 240 Sports
10 250 Sports
10 265 Regular
10 275 Regular
30 285 Sports
10 295 Regular
10 300 Regular
20 300 Sports
10 305 Sports
10 305 Regular
10 310 Regular
10 310 Sports
20 320 Regular
10 305 Regular
10 315 Sports
20 320 Regular
10 325 Regular
10 325 Sports
20 330 Regular
10 330 Sports
30 335 Sports
10 335 Regular
20 340 Regular
10 340 Sports
30 350 Regular
20 360 Regular
10 360 Sports
20 365 Regular
20 365 Sports
10 370 Sports
10 370 Regular
20 375 Regular
10 375 Sports
20 380 Regular
10 395 Sports

Solutions

Expert Solution

Part 2

The variables 'Count' and 'Section' are categorical, whereas the variable 'Score' is quantitative.

Part 3

The following is the required table for the Regular Section

Count Score Section = Regular
10 265 Regular
10 275 Regular
10 295 Regular
10 300 Regular
10 305 Regular
10 310 Regular
20 320 Regular
10 305 Regular
20 320 Regular
10 325 Regular
20 330 Regular
10 335 Regular
20 340 Regular
30 350 Regular
20 360 Regular
20 365 Regular
10 370 Regular
20 375 Regular
20 380 Regular

The following is the required table for the Sports Section

Count Score Section = Sports
10 200 Sports
10 205 Sports
20 235 Sports
10 240 Sports
10 250 Sports
30 285 Sports
20 300 Sports
10 305 Sports
10 310 Sports
10 315 Sports
10 325 Sports
10 330 Sports
30 335 Sports
10 340 Sports
10 360 Sports
20 365 Sports
10 370 Sports
10 375 Sports
10 395 Sports

Part 4

a)

Part b)

It is quite apparent that the sports section students have obtained more scores than the regular section students. We can employ a t-test to determine a statistical difference between the scores sectionwise.


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