Construct the 99% confidence interval for the difference between the population

Question

  

   

Construct the 99% confidence interval for the difference between the population means. (Negative values should be indicated by a minus sign. Round all intermediate calculations to at least 4 decimal places and final answers to 2 decimal places.)

  

    

Specify the competing hypotheses in order to determine whether or not the population means differ.

  

Consider the following data drawn independently from normally distributed populations: Use Table 1.http://lectures.mhhe.com/connect/0078020557/Table/table1.jpg

Explanation / Answer

The statistical software output for this problem is:

Two sample Z summary confidence interval:
1 : Mean of population 1 (Std. dev. = 93.9)
2 : Mean of population 2 (Std. dev. = 92.3)
1 - 2 : Difference between two means

99% confidence interval results:

Hence,

a) 99% confidence interval:

-64.26 to 59.26

b) H0: 1 2 = 0; HA: 1 2 0

c) No, since the confidence interval includes the hypothesized value of 0.

Difference n1 n2 Sample mean Std. err. L. limit U. limit 1 - 2 34 27 -2.5 23.976217 -64.258641 59.258641

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