population is 3. A researcher wishes to see if that average has changed. He selected a random sample of 45 men and found that the average number of dress shirts that they owned was 13.9. At α=0.01, is there enough e

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In a previous study conducted several years ago, a man owned on average 15 dress shirts. The standard deviation of the population is 3. A researcher wishes to see if that average has changed. He selected a random sample of 45 men and found that the average number of dress shirts that they owned was 13.9. At α=0.01, is there enough evidence to support the claim that the average has changed? Assume that the variable is normally distributed. Use the critical value method with tables.
 
 
A.) State the hypotheses and identify the claim with the correct hypothesis.

H0:

H1:

 

 

B.) Find the critical value(s).

 

 

C.) Compute the test value.

z=

 

 

D.) Make the decision.

________ the null hypothesis.

 

 

E.) Summarize the results.
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