Refer to Exercise 9.17. Conduct a two-sample t-test

Chapter 9, Problem 18E

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QUESTION:

Refer to Exercise 9.17. Conduct a two-sample t-test (Section 8.2) of the null hypothesis that the two treatment means are equal for each dot plot. Use \(\alpha\ =\ .05\) and two-tailed tests. In the course of the test, compare each of the following with the F-tests in Exercise 9.17:

a. The pooled variances and the MSEs

b. The t- and F-test statistics

c. The tabled values of t and F that determine the rejection regions

d. The conclusions of the t- and F-tests

e. The assumptions that must be made to ensure the validity of the t- and F-tests

Questions & Answers

QUESTION:

Refer to Exercise 9.17. Conduct a two-sample t-test (Section 8.2) of the null hypothesis that the two treatment means are equal for each dot plot. Use \(\alpha\ =\ .05\) and two-tailed tests. In the course of the test, compare each of the following with the F-tests in Exercise 9.17:

a. The pooled variances and the MSEs

b. The t- and F-test statistics

c. The tabled values of t and F that determine the rejection regions

d. The conclusions of the t- and F-tests

e. The assumptions that must be made to ensure the validity of the t- and F-tests

ANSWER:

Problem 18E

Refer to Exercise 9.17. Conduct a two-sample t-test (Section 8.2) of the null hypothesis that the two treatment means are equal for each dot plot. Use ? = .05 and two-tailed tests. In the course of the test, compare each of the following with the F-tests in Exercise 9.17:

a. The pooled variances and the MSEs

b. The t- and F-test statistics

c. The tabled values of t and F that determine the rejection regions

d. The conclusions of the t- and F-tests

e. The assumptions that must be made to ensure the validity of the t- and F-tests

                                                        Step-by-step solution

Step 1 of 17

The treatment1 means is as follows:

The treatment means for plot#1 is given below

The mean of sample 1 is

The mean of the sample 2 is

The means of sample 1 and sample 2 are 9, 14 respectively for plot#1

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