Q1: In a matched samples design (the test involving the mean difference) the num

Question

Q1:

In a matched samples design (the test involving the mean difference) the number of cases in each sample must be equal. True or false?

Q2:

In the matched samples design (the design based on the mean difference), the sampling distribution at issue is the sampling distribution of _________________.

Here are the steps to guide you:

1. State the hypotheses (e.g. Alternative Hypothesis – There is an effect; Null Hypothesis – There is no effect)

2. Locate the critical region

3. Calculate the test statistic

4. Make a decision regarding the Null Hypothesis (e.g. Reject the Null Hypothesis; Fail to reject the Null Hypothesis) and explain what the results mean in terms of the question.

Q1: Assume you are working with the results of a research situation based on a matched sample design involving 15 participants (the same participants in a before/after test situation). The mean difference (D) = 14.66, with an estimate of the standard error of the mean difference (SD) = 5.21. Assume that you’re working at the .05 level of significance. a. Formulate an appropriate null hypothesis. b. Calculate t. c. Identify the critical value. d. State your conclusion.

Q3: Thirty program participants have been given a test designed to measure their reading comprehension skill levels. Following a two-week course, designed to improve reading comprehension skills, the same participants are re-tested. The mean difference (D) = standard error of the mean difference (SD) = 2.11. Assume that you’re working at the .05 level of significance. a. Formulate an appropriate null hypothesis. b. Calculate t. c. Identify the critical value. d. State your conclusion.

Q4: Professor Johnson administers a 50 point test to the students in her class (n = 29) at the beginning of the semester (T1) to measure their under- standing of basic sociological concepts. She administers the same test to the students at the conclusion of the semester (T2), and records each student’s T1 and T2 scores. She obtains the following: The mean of the distribution of differences (D) between the students’ T1and T2 scores is equal to 6.57, with an estimate of the standard error of the mean difference (SD) = 2.88. Assume that you’re working at the .05 level of significance. a. Formulate an appropriate null hypothesis. b. Calculate t. c. Identify the critical value. d. State your conclusion.

Q5: A geographer selects 30 counties from the north and 30 counties from the south, matching the two samples on the basis of urban/rural status (whether the county is inside or outside of a metropolitan area), dominant economic activity (manufacturing, retail, service, etc.), voter pattern in the last presidential election (whether the majority voted for the Republican or Democratic candidate). Focusing on the percentage of registered voters who actually voted in the last presidential election, the researcher obtains the following results: The mean of the distribution of differences (D) between northern counties and southern counties for voter turnout is equal to 4.00%, with an estimate of the standard error of the mean difference (SD) = 2.35%. Assume that you’re working at the .05 level of significance. a. Formulate an appropriate null hypothesis. b. Calculate t. c. Identify the critical value. d. State your conclusion

Explanation / Answer

1. In a matched samples design (the test involving the mean difference) the number of cases in each sample must be equal. True

2.In the matched samples design (the design based on the mean difference), the sampling distribution at issue is the sampling distribution of Mean Difference

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