A researcher randomly divided subjects into a treatment and control group, and after completing the study, wanted to test the hypothesis that the mean of the treatment group was different from the mean of the control group. The following sample statistics were obtained. n Mean Standard Deviation Treatment 20 3.55 1.43 Control 20 2.50 1.50 Test where the scores of the treatment group are different from the scores of the control group at alpha = .05. Provide each of the following in your answer. a) State the null and alternative hypotheses for this problem situation. Use correct notation. b) Compute the test statistic c) List the critical value(s) and make a decision by comparing the test statistic to the critical value(s). d) List the p-value and make a decision by comparing the p-value to alpha. e) In 1-2 complete sentences, state the conclusion of this test in the context of the problem situation.
A researcher randomly divided subjects into a treatment and control group, and after completing the study, wanted to test the hypothesis that the mean of the treatment group was different from the mean of the control group. The following sample statistics were obtained.
n Mean Standard Deviation
Treatment 20 3.55 1.43
Control 20 2.50 1.50
Test where the scores of the treatment group are different from the scores of the control group at alpha = .05.
Provide each of the following in your answer.
a) State the null and alternative hypotheses for this problem situation. Use correct notation.
b) Compute the test statistic
c) List the critical value(s) and make a decision by comparing the test statistic to the critical value(s).
d) List the p-value and make a decision by comparing the p-value to alpha.
e) In 1-2 complete sentences, state the conclusion of this test in the context of the problem situation.
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