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In a pilot study for testing the \"truth\" to the theory that, on average, U.S.

ID: 3058845 • Letter: I

Question

In a pilot study for testing the "truth" to the theory that, on average, U.S. adults gain weight between Thanksgiving and January, a research team looked at responses from 8 randomly selected U.S. adults. The subjects were weighed (lb) on the day before Thanksgiving and again on January 3rd The raw data are found in Table 1. Let a = 0.05 Table 1: Weights (lb) before Thanksgiving and on Jan. 3rd for 8 U.S. adults Thanksgiving 154.9 Pre- Thanksgiving 154.9 150.9 155.5 150.6 155.8 152.5 154.9 149.4 - E - Jan. 3rd 153.7 159.4 159.7 157.0 154.7 158.6 155.0 156.6 Diff Since the researchers believe that adults, on average, gain weight you should compute the differences as Jan. 3 - PreThanksgiving and expect positive numbers. a. Fill in the missing table cells for the weight differences per the directions outlined in the bottom caption. b. The researchers want to know if the data provide strong evidence that, on average, U.S. adults gain weight between Thanksgiving and January. The appropriate null/alternative hypothesis pair for this study is: (you have two attempts at this question) o Ho: Kd = 0; HA: Pd > 0 o Ho: 11 - 12 = 0; HA: H1 - 12 > 0 Ho: 11 - 12 = 0; HA: H1 - 12

Explanation / Answer

In a pilot study for testing the "truth" to the theory that, on average, U.S. adults gain weight between Thanksgiving and January, a research team looked at responses from 8 randomly selected U.S. adults. The subjects were weighed (lb) on the day before Thanksgiving and again on January 3rd The raw data are found in Table 1. Let a = 0.05 Table 1: Weights (lb) before Thanksgiving and on Jan. 3rd for 8 U.S. adults Thanksgiving 154.9 Pre- Thanksgiving 154.9 150.9 155.5 150.6 155.8 152.5 154.9 149.4 - E - Jan. 3rd 153.7 159.4 159.7 157.0 154.7 158.6 155.0 156.6 Diff Since the researchers believe that adults, on average, gain weight you should compute the differences as Jan. 3 - PreThanksgiving and expect positive numbers. a. Fill in the missing table cells for the weight differences per the directions outlined in the bottom caption. b. The researchers want to know if the data provide strong evidence that, on average, U.S. adults gain weight between Thanksgiving and January. The appropriate null/alternative hypothesis pair for this study is: (you have two attempts at this question) o Ho: Kd = 0; HA: Pd > 0 o Ho: 11 - 12 = 0; HA: H1 - 12 > 0 Ho: 11 - 12 = 0; HA: H1 - 12

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