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Question: A sample of the reading scores of 35 sixth graders has a mean of 82. If the 95% confidence interval for the population mean of the reading scores of all fifth graders is between 77 and 87, then which among the following choices represents the 99% confidence interval? A ) 74 < μ < 92 B ) 79 < μ < 85 C ) 77 < μ < 91 D ) 75 < μ < 89 Steps to derive 1 As the degree of confidence increases, the confidence interval becomes wider.2 Choice 1: 77 - 74 < μ < 92 - 87 3 < μ < 5 The difference on both sides is not same.3 Choice 2: 77 - 79 < μ < 85 - 87 - 2 < μ < - 2 The confidence interval should become wider not squeezed or compressed.4 Choice 3: 77 - 77 < μ < 91 - 87 0 < μ < 4 The difference on both sides is not same.5 Choice 4: 77 - 75 < μ < 89 - 87 2 < μ < 2 The difference on both sides is same and the confidence interval is wider than 95% confidence interval.6 So, 75 < μ < 89 is the only choice that represents the 99% confidence interval.Hence the right answer is Option D Click Here To Go Back Few Other Questions - Kay put a 6 cm by 4 cm picture on a photocopier and doubled its length and halved its widt.. To correct the misleading graph, where should the scale start from?.. Which of the following scales best suits the data shown?.. 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