Project #27114 - Assignment

ASSIGNMENT 3

1.     A publishing house conducted a survey to assess the reading habits of teenagers.  The company publishes four types of books specifically tailored to suit the interests of teenagers.  Management hypothesizes that there are no differences in the preferences for the four types of books.  A sample of 1600 teenagers indicated the following preferences for the four book types.

Publication                                             Frequency of Preference

Non-Fiction                                             350

Mystery                                                     500

Humor                                                        450

Short Stories                                          300

TOTAL                                                          1600

 

                  Management needs your expertise to determine whether there are differences in preferences for the four types of books. 

a.     State the null and alternate hypotheses in plain English sentences (not equations).

b.     What is the calculated chi-squared value?   Show your calculations.

c.     The tabled chi-squared value for 5% significance and three degrees of freedom is 7.81.  Can you reject the null hypothesis?  Why or why not?

 

 

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                                                   308                                                                                          331

9                                                   312                                                                                          335

10                                                340                                                                                          299

 

(questions on the next page)

 

a.     State the null and alternate hypotheses in plain English sentences (not equations).

b.     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. 

c.     Can you reject the null hypothesis?  Why or why not?

 

 

3.     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.)

 

a.     State the null and alternate hypotheses in plain English sentences (not equations).

b.     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. 

c.     Can you reject the null hypothesis?  Why or why not?

 

Subject Mathematics
Due By (Pacific Time) 04/09/2014 12:00 am
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