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Find the p-value for each of these situations. Be sure to take into account whether the...

Find the p-value for each of these situations. Be sure to take into account whether the test is left sided, right sided, or two sided. Hints: Draw a picture! Also, all provided information may not be relevant. Note that when testing the value of a single population mean (rather than a difference in means), degrees of freedom are df = n - 1. Round all answers to three decimal places

a. H0: μ1 - μ2 = 0 HA: μ1 - μ2 > 0 df = 27 t-statistic = 2.07 p-value =

b. H0: μ1 - μ2 = 0 HA: μ1 - μ2 < 0 df = 71 t-statistic = -2.32 p-value =

c. H0: μ1 - μ2 = 0 HA: μ1 - μ2 ≠ 0. df = 22 t-statistic = 1.91 p-value =

d. H0: μ = 811 HA: μ > 811 n = 140 t-statistic = 2.50 p-value =

e. H0: μ = 2350 HA: μ < 2350 n = 70 t-statistic = -1.93 p-value =

f. H0: μ = 3900 HA: μ ≠ 3900. n = 23 t-statistic = -1.73 p-value =

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Homework Answers

Answer #1

a) The test is right sided.

b) The test is left sided.

c) The test is two-sided.

d) The test is right sided.

e) The test is left sided.

f) The test is two-sided.

The R commands printed in order below:

> pt(-2.07,27)
[1] 0.02407114
> pt(-2.32,71)
[1] 0.01161009
> 2*pt(-1.91,22)
[1] 0.06925662
> pt(-2.5,139)
[1] 0.006790951
> pt(-1.93,69)
[1] 0.02885926
> 2*pt(-1.73,22)
[1] 0.09763673

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