For each of the following situations, indicate whether it calls for: A. An indep
ID: 3127790 • Letter: F
Question
For each of the following situations, indicate whether it calls for: A. An independent-samples comparison of proportions B. An independent-samples comparison of means C. A matched-pairs comparison of means
1. Ten diamond rings are shown to two jewelers and each jeweler is asked to determine the appraisal value for each ring. The goal is to test whether the two jewelers give the same appraisal values on average.22:05 PM
2. A sample of 10 faculty members and a sample of 20 students are asked how much time they spent on schoolwork last weekend. The goal is to test whether one group tends to spend more weekend time on average than the other on schoolwork.
3. A sample of 40 male students and a sample of 40 female students are asked whether they attended last week’s football game. The goal is to test whether male students are more likely to attend football games than are female students.
4. A student takes a random sample of 40 sentences from her history book and a random sample of 40 sentences from her statistics book, recording the length (number of words) in each sentence, testing whether sentences in her history textbook tend to be longer than sentences in her statistics textbook.
5. A sample of 20 students compared their scores on the most recent math exam and the most recent English exam. The goal is to test whether one exam tended to be harder (as judged by student scores) on average than the other
Explanation / Answer
1. C. A matched-pairs comparison of means [ANSWER]
This is because the two jewelers inspected the same set of jewelries.
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2. B. An independent-samples comparison of means [ANSWER]
This is because we have two independent groups, and we are concerned about the mean number of hours.
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3. A. An independent-samples comparison of proportions [ANSWER]
This is because we want to know who are more likely to attend football games.
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4. B. An independent-samples comparison of means [ANSWER]
This is because we are concerned about the lengths of the words, and the words have no natural pairing.
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5. C. A matched-pairs comparison of means [ANSWER]
This is because the same 20 students took both exams.
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