QUESTION 1
A cosmetics manufacturer was interested in comparing male college students and male non-students in terms of their usage of hair gel. Random samples of 100 male students and 100 male non-students were drawn in a Midwestern college town. Each was asked whether he used hair gel in the past month. 34 students and 24 nonstudents said that they used hair gel within this period. Does this evidence indicate that there is a difference in hair gel use between male students and male non-students? State the null and alternate hypotheses, and show your calculations.
QUESTION 2
A marketing manager for a chain of brake shops was considering two different services for an in-store promotion: a wheel alignment or an oil change. She wanted to know if there was different demand for these services, before deciding which promotion to run nationally. She test marketed the wheel alignment promotion in ten shops in Cleveland, and the oil change promotion in ten shops in Detroit. She recorded the following sales of the two promotions:
SHOP NO. WHEEL ALIGNMENT IN CLEVELAND OIL CHANGE IN DETROIT
1 318 314
2 322 315
3 333 350
4 315 305
5 385 299
6 310 309
7 312 312
8 300 301
9 302 295
10 310 279
Part 1--State the null and alternate hypotheses in plain English sentences (not equations).
Part 2--Using Excel or any statistical package you are familiar with, do a direct comparison of two means to determine if there is a significant difference between the sales of the two services. Print out the computer results.
Part 3--Can you reject the null hypothesis? Why or why not?
QUESTION 3
Redo the analysis for Question 2, but this time test if there is a significant difference between the sales of the two services using ANOVA. Print out the computer results and discuss how they are similar to the results you obtained in Question 2.
QUESTION 4
Redo the analysis for Question 2, but this time assume that she used 10 shops in Cleveland (one city only), and she tested both promotions in each shop. (You will need to do a different statistical analysis.)
Part 1--State the null and alternate hypotheses in plain English sentences (not equations).
Part 2--Using Excel or any statistical package you are familiar with, do the appropriate analysis to determine if there is a significant difference between the sales of the two services. Print out the computer results.
Part 3--Can you reject the null hypothesis? Why or why not?