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

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.

orchestra answered 1 year ago

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