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Use the following data (alpha = .10) and the critical value method to find the c

ID: 1119044 • Letter: U

Question

Use the following data (alpha = .10) and the critical value method to find the critical difference in the mean vales required to reject the null hypothesis.

H0: 1 2 = 0 Ha: 1 2 < 0

  Sample 1

      Sample 2

  n1 =

32

      n2 =

33

X1 =

51.2

    X2 =

53

  12 =

52

      22 =

61

The critical difference in the mean values required to reject the null hypothesis is?

(Round your answer to 2 decimal places.)

  Sample 1

      Sample 2

  n1 =

32

      n2 =

33

X1 =

51.2

    X2 =

53

  12 =

52

      22 =

61

Explanation / Answer

Consider the following formula:

(x1-x2)-z(12/n1 + 12/n2)1/2,<= 1 2 <=(x1-x2)+z(12/n1 + 12/n2)1/2

at 90 percent (as alpha is 0.1) z = 1.28

(51.2-53)-1.28*(522/32 + 612/33)1/2,<=1 2 <=(51.2-53)+1.28(522/32 + 612/33)1/2,

-19.774<= 1 2 <=16.1774

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