Solved: Testing the Difference Between Two Means In Exercises 1322, (a) identify the

Chapter 8, Problem 21

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Testing the Difference Between Two Means In Exercises 1322, (a) identify the claim and state H0 and Ha, (b) find the critical value(s) and identify the rejection region(s), (c) find the standardized test statistic t, (d) decide whether to reject or fail to reject the null hypothesis, and (e) interpret the decision in the context of the original claim. Assume the samples are random and independent, and the populations are normally distributed. If convenient, use technology. Teaching Methods A new method of teaching reading is being tested onthird grade students. A group of third grade students is taught using thenew curriculum. A control group of third grade students is taught usingthe old curriculum. The reading test scores for the two groups are shownin the back-to-back stem-and-leaf plot.Old Curriculum New Curriculum9 39 9 4 39 8 8 4 3 3 2 1 5 2 47 6 4 2 2 1 0 0 6 0 1 1 4 7 7 7 7 7 8 9 97 0 1 1 2 3 3 4 98 2 4Key: 9 0 4 0 3 = 49 for old curriculum and 43 for new curriculumAt a = 0.10, is there enough evidence to support the claim that the newmethod of teaching reading produces higher reading test scores than theold method does? Assume the population variances are equal.