A researcher is interested in whether doing practice problems helps students to increase their grade on their statistics test. He gets a sample of n =16 students in a statistics class and gives them a test before they do any practice problems. The average score on Test 1 is M1 = 74.83. He then makes them do practice problems and gives the same sample of students another test. The average score on Test 2 is M2 = 82.67. The SS of the difference is 400.
What are the null and alternative hypotheses in statistical notation
Do you use a one- or two-tailed test? What is the critical/cut-off t value with an alpha level of α = .01?
What is the variance?
What is the estimated standard error?
What is the value of the t statistic?
Do we reject or fail to reject the null hypothesis (α = .05)? Why?
Calculate and report the effect size values (Cohen’s d & r2). Is it small, medium, or large?
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