Read the following scenarios For each scenario you need to d

Read the following scenarios. For each scenario you need to decide which of the following four methods is appropriate.

A. One sample t test

B. Paired samples t test

C. Independent samples t test

D. One-way analysis of variance (ANOVA)

8. A computer manufacturer has discovered a method to improve performance of existing CPU chips by coating those chips with a fine layer of a special patented chemical. The manufacturer wants to test the effectiveness of this method in a sample of 54 computers by observing CPU performance before and after applying the coating.

9. A local landscaping business owner wants to test the hypothesis that the mean tree planting time differs significantly from 2 hours for her employees.

10. An educator wants to test the hypothesis that average SAT score in the population is the same in Belgium, Denmark, and Netherlands.

11. Using random state-level household samples, a social scientist wants to know whether or not the mean household size is the same across 50 states in the U.S.

12. It has been claimed that average nursing salaries in Milwaukee, Wisconsin are lower than those in Pittsburgh, Pennsylvania. A medical professional wants to test this claim using a sample of salaries from the two cities.

13. A student government representative at a mid-sized East Coast university wants to test the mean difference in GPA at the beginning and end of the freshman year using a sample of 89 undergraduate students.

14. All employees in a firm have recently received professional development training that is designed to improve their productivity. The training provider claims that such training increases employee productivity by 10%. A firm manager has obtained estimates of change in productivity for 32 employees who received the training, and wants to test the training provider\'s claim.

Solution

8. Here Paired samples t test will be used becuase we have 54 paired data observations (each corresponding to a chip performance before and after coating). That is we have 54 subjects and we want to compare perforamce before and after treatment.

9. Since there is a single sample of employees and we want to compare the mean tree planting time with popualtion mean so single sample t-test will be used.

10. here we are comparing average of more than two popualtions (average SAT score of Belgium, Denmark, and Netherlands) so One-way analysis of variance (ANOVA) will be used.

11. Comparing more than two population mean so One-way analysis of variance (ANOVA) will be used.

12. There are two indepepdent smaples and we want to compare two indepedent sample popualtion mean so Independent samples t test will be used.

13. Paired sample t-test

14. Paired sample t-test