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 α = 0.05 Table 1: Weights (lb) before Thanksgiving and on Jan. 3rd for 8 U.S. adults Pre-Thanksgiving 170.9 169.4 169.5 172.1 169.8 166.8 171.2 168.2 Jan. 3rd 170.8 170.7 171.4 174.8 165.2 171.7 171.3 174.5 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) H0: μd = 0 ; HA: μd < 0 H0: μd = 0 ; HA: μd > 0 H0: μ1 - μ2 = 0 ; HA: μ1 - μ2 > 0 H0: μ1 - μ2 = 0 ; HA: μ1 - μ2 ≠ 0 H0: μ1 - μ2 = 0 ; HA: μ1 - μ2 < 0 H0: μd = 0 ; HA: μd ≠ 0 c. The test statistic for this data set is: Note: Round your answer to the nearest hundredth. d. The p-value for this study is: Note: round your answer to 4 decimal precision. Also recall from the first problem that, when testing the value of a single mean, df = n - 1. e. Based on this we: (you have two attempts at this question) FTR H0 because the p-value is less than the significance level Reject HA because the p-value is greater than the significance level FTR HA because the p-value is greater than the significance level FTR H0 because the p-value is greater than the significance level Reject H0 because the p-value is less than the significance level Reject H0 because the p-value is greater than the significance level

Answer 1