Get answer: The following MINITAB output presents the results of a hypothesis test for

Chapter 6, Problem 13

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The following MINITAB output presents the results of a hypothesis test for the difference \(\mu_{X}-\mu_{Y}\) between two population means. Some of the numbers are missing.

Two-sample T for X vs Y

N Mean StDev SE Mean

X 78 23.3 (i) 1.26

Y 63 20.63 3.02 (ii)

Difference = mu (X) − mu (Y)

Estimate for difference: 2.670

95% CI for difference: (0.05472, 5.2853)

T-Test of difference = 0 (vs not =): T-Value = 2.03 P-Value = 0.045 DF = 90

a. Fill in the missing numbers for (i) and (ii).

b. The output presents a Student’s t test. Compute the P-value using a z test. Are the two results similar?

c. Use the output and an appropriate table to compute a 98% confidence interval for \(\mu_{X}-\mu_{Y}\) based on the z statistic

Equation Transcription:

Text Transcription:

{mu}X-{mu}Y

{mu}X-{mu}Y

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