Math 241                             Mini Project 1

Use the data on right handspans, right thumb lengths and favorite colors that you will receive to do the following.

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

2) (2 pts) Include a copy of your data at the end of your Mini Project 1.

3) (6 pts) Create a table having the following format. Fill in the table using your right thumb length and right-hand span data.

 Statistic Right Thumb Length Right Hand Span 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 99% confidence interval for the population mean of the right thumb lengths, and find the 99% confidence interval for the population mean of the right handspan.

5) (4 pts) Create a table showing the frequency and relative frequencies for each of the favorite colors.

6) (8 pts) Make a bar chart of the favorite color data. Include a title giving your name as the creator. Label the frequency axis.  Write a paragraph which includes the answers to the following questions.

• How many bars are in the bar chart?
• Which bar is the tallest?
• Which bar is the shortest?

7) (8 pts) At 98% confidence, test to see if the population proportion of subjects whose favorite color is blue is less than 35%.  State the test statistic, the P-value and your conclusion in English.

8) (8 pts) Run a Chi-square Goodness of Fit Test to see if the favorite colors are equally likely at 90% confidence.  State the test statistic, the P-value and your conclusion in English.

9) (10 pts) Create a scatter diagram of the right handspan versus the right thumb length with the regression line included.  Include a title giving your name as the creator.  Label each axis and include the units. Make sure horizontal and vertical grid lines are shown.

10) (2 pts) Write the equation of the regression line from the scatter plot created for problem (9) in displayed form.

11) (8 pts) Write a paragraph (or two) that answers each of the following questions about the scatter diagram you created for problem (9).

• Is the association between the right handspan and the right thumb length is strong moderate or weak?
• Is this association positive or negative or neither?  (Very weak associations may not be positive or negative.)
• What are the outliers in the scatter diagram?  (Where are they located?)
• Are there any influential observations in the scatter diagram?  If so, say where they are located.  If not, say “There are no influential observations.”
• What is the coefficient of determination (R-square)?
• What does the coefficient of determination mean in the context of this scatter diagram?