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

Chapter 6, Problem 12

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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:

Two-sample T for X vs Y

N Mean StDev SE Mean

X 135 3.94 2.65 0.23

Y 180 4.43 2.38 0.18

Difference = mu (X) − mu (Y)

Estimate for difference: −0.484442

95% upper bound for difference: −0.007380

T-Test of difference = 0 (vs <): T-Value = −1.68 P-Value = 0.047 DF = 270

a. Is this a one-tailed or two-tailed test?

b. What is the null hypothesis?

c. Can $H_0$ be rejected at the 5% level? How can you tell?

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

e. Use the output and an appropriate table to compute a 99% confidence interval for $\mu_{X}-\mu_{Y}$ based on the z statistic.

Equation Transcription:

${\mu{}}_{X}-{\mu{}}_{Y}$

${H}_{0}$

${\mu{}}_{X}-{\mu{}}_{Y}$

Text Transcription:

{mu}X-{mu}Y

H_0

{mu}X-{mu}Y

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