Project #2729 - Stats

 

Problem 1:  A clothes manufacturer wants to know whether customers prefer any specific color over other colors in shirts. A random sample of 150 shirts is selected and the data are shown here. At α = 0.10, is there a color preference for the shirts?

 

 Color

White

Blue

Black

Red

Yellow

Green

Total

No. sold

60

28

16

30

10

6

150

 

 

 

Answer the following questions:

 

(a) What chi-square test should be used?

 

 

 

(b) State the Hypotheses and identify the claim.

 

 

 

(c) Compute the Chi-square test statistic.

 

 

 

(d)  Find the critical value or the p-value.

 

 

 

(e)  Make the decision using either the classical or the p-value method.

 

 

 

(f)  Summarize the results and write a conclusion.

 

 

 

 

 

Problem 2:  Many people have the impression that foreign made automobiles tend to be more reliable than US made cars. A survey asked consumers about problems they have had with their new cars in the first 12 months of ownership. The results are shown in the table:

 

Is the number of problems independent of the car’s origin? Use α = 0.05.

 

 

Foreign

US

Total

No problems

100

50

150

Problems

30

20

50

Total

130

70

GT=200

 

 

 

Answer the following questions:

 

(a) What chi-square test should be used?

 

 

 

(b) State the Hypotheses and identify the claim.

 

 

 

(c) Compute the Chi-square test statistic.

 

 

 

(d)  Find the critical value or the p-value.

 

 

 

(e)  Make the decision using either the classical or the p-value method.

 

 

 

(f)  Summarize the results and write a conclusion.

 

Subject Mathematics
Due By (Pacific Time) 03/01/2013 05:00 pm
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