Educational researchers are interested in the learning habits of elementary school students. To test a new method of teaching, the researchers give a pretest to a randomly selected group of 30 had graders across the state of North Carolina. After teaching these students with the new method for 1 month, the researchers give them a post-test. We are interested in the mean difference of pre- and post-test scores (a) After collecting the data, the researchers calculate a 90% confidence interval to estimate the population mean difference in pre- and post-test scores. In this case, what is the population? O all students in North Carolina O the 30 third graders tested O all third graders O all third graders in North Carolina (b) Suppose that the 90% confidence interval for the mean difference of test scores is (3, 7). What is the points point estimate?

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter8: Sequences, Series, And Probability
Section8.7: Probability
Problem 58E: What is meant by the sample space of an experiment?
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Educational researchers are interested in the learning habits of elementary school students. To test a new method of teaching, the researchers give a pretest to a randomly selected group of 30 third
graders across the state of North Carolina. After teaching these students with the new method for I month, the researchers give them a post-test. We are interested in the mean difference of pre-
and post-test scores
(a) After collecting the data, the researchers calculate a 90% confidence interval to estimate the population mean difference in pre- and post-test scores. In this case, what is the population?
O all students in North Carolina
O the 30 third graders tested
O all third graders
O all third graders in North Carolina
(b) Suppose that the 90% confidence interval for the mean difference of best scores is (3, 7). What is the value of the point estimate?
points
(c) Based upon your calculated point estimate and the confidence interval given in part (b), what is the estimated margin of error?
points
Transcribed Image Text:Educational researchers are interested in the learning habits of elementary school students. To test a new method of teaching, the researchers give a pretest to a randomly selected group of 30 third graders across the state of North Carolina. After teaching these students with the new method for I month, the researchers give them a post-test. We are interested in the mean difference of pre- and post-test scores (a) After collecting the data, the researchers calculate a 90% confidence interval to estimate the population mean difference in pre- and post-test scores. In this case, what is the population? O all students in North Carolina O the 30 third graders tested O all third graders O all third graders in North Carolina (b) Suppose that the 90% confidence interval for the mean difference of best scores is (3, 7). What is the value of the point estimate? points (c) Based upon your calculated point estimate and the confidence interval given in part (b), what is the estimated margin of error? points
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