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Math 241                             Mini Project 3                    Spring 2022

Do the following with the SLC Softball data that you receive.

1) (2 pts) State the source of the data and the date or dates on which it was accessed.

2) (2 pts) Include a table showing your data at the end of this project.

3) (6 pts) Create a table having the following format and fill in the table using statistics for the two quantitative variables from the data you received.  Replace “Variable 1” and “Variable 2” with the names of your two quantitative variables.

Statistic

Variable 1

Variable 2

Minimum

 

 

First Quartile

 

 

Median

 

 

Third Quartile

 

 

Maximum

 

 

Mean

 

 

Mode

 

 

Midrange    
Range    

Interquartile Range

 

 

Standard Deviation

 

 

Standard Error of the Mean

 

 

Skewness    

Kurtosis

 

 

4) (4 pts) Find the 95% confidence intervals for the population means of each of your two quantitative variables.

5) (8 pts) Create a bar chart of the teams.  Include a title with a note saying you created the graph, label both axes, and add horizontal grid lines.

6) (6 pts) Write a paragraph that answers each of the following questions about the bar chart you created for problem (5).

7) (8 pts) At 90% confidence, use the chi-square goodness-of-fit test to see if the teams are equally likely. State the test statistic, the P-value and your conclusion in English.

8) (8 pts) Make side-by-side horizontal boxplots of your two quantitative variables.  Include a title with a note saying you created the graph, identify each boxplot, label the horizontal axis including units if necessary, and add vertical grid lines.

9) (8 pts) Write a paragraph that answers each of the following questions about the horizontal boxplots you created for problem (8).

10) (8 pts) At 98% confidence, use the paired t-test to see if the means of your two quantitative variables are different.  State the test statistic, the P-value and your conclusion in English.

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