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Lifetimes of Randomly Selected Brand 1 Batteries Battery 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34...

This question was answered on Apr 25, 2010. View the Answer
A large buyer of household batteries wants to decide which of two equally priced brands to purchase. To do this he takes a random sample of 100 batteries of each brand. The lifetimes measures in hours, of the batteries are recorded in the attached file.
a. Using the given sample data, generate a 95% confidence interval for the difference between the mean lifetimes of brand 1 and brand 2 batteries. Based on this confidence interval, which brand should the buyer purchase?
b. Using the given sample data, generate a 99% confidence interval for the difference in the mean lifetimes of brand 1 and brand 2 batteries. Based on this interval, which brand should the buyer purchase?
c. How can your analysis in parts A and B be related to hypothesis testing?
Lifetimes of Randomly Selected Brand 1 Batteries Battery Lifetime 1 99.11 2 99.45 3 98.39 4 97.07 5 99.97 6 100.06 7 98.20 8 98.13 9 107.73 10 95.58 11 96.98 12 100.47 13 101.23 14 100.39 15 106.07 16 98.02 17 100.26 18 102.48 19 97.88 20 102.58 21 101.00 22 97.01 23 103.91 24 96.23 25 99.84 26 102.49 27 97.80 28 101.10 29 99.51 30 99.49 31 101.63 32 104.85 33 99.69 34 97.68 35 100.31 36 95.29 37 101.00 38 92.23 39 99.87 40 98.70 41 97.70 42 102.67 43 100.30 44 101.76 45 100.11 46 103.05 47 100.82 48 99.94 49 98.89 50 95.22 51 99.55 52 102.67 53 98.43 54 101.69 55 100.86 56 98.86 57 99.19 58 95.90 59 101.85 60 96.05 61 103.36 62 102.31 63 103.15 64 102.03 65 99.00 66 101.36 67 98.75 68 99.03 69 98.75 70 94.80 71 101.26 72 99.08 73 103.60 74 102.56 75 95.44 76 98.26 77 95.05 78 100.65 79 99.86 80 105.21 81 101.26 82 103.88 83 106.71 84 100.07 85 99.30 86 103.74 87 99.60 88 104.24 89 100.59 90 101.17 91 96.65 92 100.27 93 98.99 94 103.24 95 100.29 96 93.25 97 102.86 98 102.65 99 102.74 100 98.78
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Lifetimes of Randomly Selected Brand 2 Batteries Battery Lifetime 1 110.65 2 92.24 3 96.63 4 99.45 5 102.55 6 109.60 7 96.53 8 104.64 9 88.03 10 96.87 11 96.02 12 97.33 13 105.14 14 99.86 15 93.81 16 92.26 17 103.67 18 93.61 19 97.28 20 102.51 21 106.59 22 100.90 23 98.67 24 102.64 25 99.76 26 108.11 27 101.96 28 98.36 29 101.93 30 112.25 31 105.35 32 100.95 33 85.00 34 95.50 35 111.24 36 109.34 37 99.67 38 101.57 39 105.21 40 92.84 41 99.89 42 94.24 43 96.43 44 93.64 45 97.44 46 109.93 47 100.20 48 101.34 49 97.41 50 109.89 51 107.33 52 95.24 53 91.33 54 102.49 55 106.89 56 103.68 57 103.97 58 93.47 59 94.93 60 101.94 61 98.81 62 103.66 63 102.03 64 99.62 65 100.96 66 99.05 67 95.72 68 90.28 69 88.87 70 110.15 71 113.99 72 97.37 73 102.17 74 95.82 75 104.44 76 108.21 77 100.28 78 92.43 79 91.92 80 81.47 81 92.58 82 106.49 83 102.46 84 92.72 85 101.97 86 96.85 87 96.92 88 103.56 89 87.85 90 100.65 91 96.33 92 89.44 93 103.91 94 103.96 95 87.99 96 98.86 97 96.47 98 101.32 99 103.46 100 96.70
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Week_7_statistics.xls

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This question was asked on Apr 24, 2010 and answered on Apr 25, 2010.

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