Project #36563 - assignment 13

Directions: Complete the assignment on your own paper. Clearly label each answer. Your answers for this assignment must include reasons; simply stating the answer without justification will earn partial credit. (30 points)

 

1. Your school administration wants to install new soft drink machines in the gym and cafeteria.  Their market analysts want to know if flavor preference depends on the location.  A random sample of 180 students was selected and interviewed.  Their location and soft drink preference are given in the table.

 

Soft Drink Gym  Cafeteria          

Coca Cola  33     57

Pepsi  30     20

Sprite   5     35                  

 

a.) Enter the marginal values in the table and the expected counts next to the observed counts. (2 points)

 

b.)Write null and alternative hypotheses for a chi-square analysis of these data. (2 points)

 

c.)State and verify conditions for carrying out the inference procedure. (4 points)

 

d.)  Determine the test statistic, the degrees of freedom, and the P-value. (6 points)

 

e.)State your conclusion(s). (4 points)

 

 

2. Market researchers know that background music can influence the mood and purchasing behavior of customers. One study in a supermarket in Northern Ireland compared three treatments: no music, French accordion music, and Italian string music.  Under each condition, the researchers recorded the numbers of bottles of French, Italian and other wine purchased.  Here is the two-way table that summarizes the data:

 

 

 

Is there a relationship between the type of wine purchased and the type of music that is playing?  Give the details of the significance test that you perform to answer this question.  Write a short summary of your conclusion and include an appropriate graphical display that shows what you have found. (12 points)

Subject Mathematics
Due By (Pacific Time) 07/28/2014 09:00 pm
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