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A group of third grade students is taught using a new curriculum. A control group of third grade students is taught using the old curriculum. The reading test scores for the two groups is shown in the back-to-back stem-and-leaf plot below. At a = 0.01, is there enough evidence to support the claim that the new method of teaching reading produces higher reading test scores than the old method does? Assume the population variances are equal. Assume the samples are random and independent, and assume the populations are normally distributed. Old Cun'iculum: 30, 4B, 49, 50, 51, 52, 54, 55, 56, 56, 59, 61, 62, 64, 64, 65, 66, 66, 69 New Curriculum: 41, 56, 57, 61, 62, 63, 64, 64, 65, 66, 66, 66, 67, 67, 69, 70, 70, 71, 72, 74, 75, 77, 78, B4, 83 What is the claim? Choose the correct answer below. 0 The new method of teaching reading produces lower test scores than the old method. 0 The new method of teaching reading produces the higher test scores than the old method. 0 The new method of teaching reading produces equal test scores than the old method. 0 The new method of teaching reading produces different test scores than the old method. Write the claim mathematically and identify the null and the alternative hypotheses. Assume that #1 represents the mean of the test scores of those taught with the old curriculum and p52 represents the mean of the test scores of those taught with the new curriculum. Choose the correct answer below. 0 Ho: #1 S #2 Ha: '11.] > [.42 (claim) 0 Ho: pl : ,u,2 (claim) Ha: #1 at #2 0 H03 #1 2 #2 Ha: pl #2 H3411 g m (claim) Find the standardized test statistic. Round to three decimal places as needed. Find the p-value. Round to four decimal places as needed. Decide whether to reject or fail to reject the null hypothesis. Choose the correct answer below. 0 Reject Ho 0 Fail to reject H0 At the 1% level of signicance, there [ SEIECt ] V enough evidence to " = the claim that the new method of teaching reading produces higher test scores that the old method does