19. Reading An educator believes that new reading activities for elementary school children will improve reading comprehen- sion scores. She randomly assigns third graders to an eight- week program in which some will use these activities and others will experience traditional teaching methods. At the end of the experiment, both groups take a reading comprehension exam. Their scores are shown in the back-to-back stem-and-leaf display. Do these results suggest that the new activities are bet- ter? Test an appropriate hypothesis and state your conclusion. New Activities | | Control ----------------|---|-------- | 1 | 07 4 | 2 | 068 3 | 3 | 377 96333 | 4 | 12222238 9876432 | 5 | 355 721 | 6 | 02 1 | 7 | | 8 | 5
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H0: There is no difference in reading comprehension scores between the new activities group and the control group. H1: The new activities group has higher reading comprehension scores than the control group. Show more…
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An educator believes that new reading activities for elementary school children will improve reading comprehension scores. She randomly assigns third graders to an eight-week program in which some will use these activities and others will experience traditional teaching methods. At the end of the experiment, both groups take a reading comprehension exam. Their scores are shown in the back-to-back stem-and-leaf display. Do these results suggest that the new activities are better? Test an appropriate hypothesis and state your conclusion. (*Would Tukey's test be appropriate here? Explain. *Use a rank sum test to test an appropriate hypothesis as well. Compare your conclusions with your previous one.)
An educator believes that new reading activities in the classroom will help elementary school pupils improve their reading ability. She arranges for a third-grade class of 11 students to follow these activities for an 8-week period. A control classroom of 13 third graders follows the same curriculum without the activities. At the end of the 8 weeks, all students are given the Degree of Reading Power (DRP) test, which measures the aspects of reading ability that the treatment is designed to improve. The table below represents the results of this test. Treatment: 41 41 52 76 54 51 51 42 43 44 58 x x Control: 60 44 52 31 27 62 53 44 45 41 45 35 42 Assuming the population of test scores is normally distributed, does it appear that these new reading activities actually improve scoring on the DRP at the 5% significance level? 1) State the null and alternate hypothesis. 2) What is the calculated test score (test statistic) for this test? ____________________ ? Show steps. 3) What is the p-value for this test? ___________________ Show steps. 4) Conclude either "reject" or "do not reject" the null hypothesis based on your analysis. Reject Do Not Reject 5) Does it appear that these new reading activities actually improve scoring on the DRP at the 5% significance level? (yes or no) _________
Dominador T.
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