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(Solution Download) According to the Census Bureau, 3.03 people reside in the typical American household. A sample of 18


 

 

 

 

 

 

 

According to the Census Bureau, 3.03 people reside in the

 

typical American household. A sample of 18 households in Arizona

 

retirement communities showed the mean number of residents per

 

household was 2.87 residents. The standard deviation of this sample

 

was 1.38 residents. At the .05 significance level, is it reasonable

 

to conclude the mean number of residents in the retirement

 

community household is less than 3.03 persons?

 

 

  

 

 

 

 

 

 

 

 

 

 

 

 

a.State the null hypothesis and

 

the alternate hypothesis. (Round your answer to 2 decimal

 

places.)

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

  

 

  H0: ? ?

 

  

 

  H1: ? <

 

  

 

  

 

 

 

 

 

 

 

 

 

 

 

 

b.

 

State the decision rule for .05 significance level.

 

(Negative amount should be indicated by a minus sign. Round

 

your answer to 3 decimal places.)

 

 

 

 

 

 

 

 

 

  Reject

 

H0 if t <

 

  

 

  

 

 

 

 

 

 

 

 

 

 

 

 

c.

 

Compute the value of the test statistic. (Negative

 

amount should be indicated by a minus sign. Round your answer to 3

 

decimal places.)

 

 

 

 

 

 

 

 

 

  Value of the test

 

statistic

 

  

 

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