statistics

Unless indicated, refer to the class databse for all problems. For all hypothesis testin, assume a =.05.

Correlation and Regression

Consider the males in our class as a sample of all the males in the U.S

Use: X = "Height" as the independent variable

Use: Y = “Shoe Size” as the dependent variable  

Provide a null hypothesis & an alternative hypothesis to test whether a significant correlation is expected between height and shoe size for the population of males in the U.S.

Ho:

Ha:

2. Calculate the test statistic value of r.

3. Provide the critical tabulated value of r.

4. State your conclusion.

5. Whatever your conclusion, proceed to calculate a regression equation of the form Y = m X + b.

6. Use the regression equation to predict the shoe size of a female who is 71 inches tall.

Analysis of Variance

Consider the females in our class as a sample of all the females in the U.S.

7. Provide a null hypothesis and an alternative hypothesis to test the claim that the population mean shoe sizes are significantly different among females who prefer different stores.

Ho:

Ha:

8. Calculate the test statistic value of F

9. Provide the critical tabulated value of F

10. State your conclusion.

Contingency Table

Consider the members of our class as a sample of all the people in the U.S.

11. Provide a null hypothesis and an alternative hypothesis to test the independence of gender and store preference.

Ho:

Ha:

12. Calculate the test statistic value of Chi Squared.

13. Provide the critical tabulated value of Chi Squared.

14. State your conclusion