58% 6:00 PM webassign.net .\'Il Sprint In a pilot study for testing the \"truth\

Question

58% 6:00 PM webassign.net .'Il Sprint 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 (Ib) on the day before Thanksgiving and again on January 3rd The raw data are found in Table 1, Let = 0.025 Table 1: lb) before and on Jan. 3 for 8 U.S, adults 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 nul/alternative hypothesis pair for this study is: (you have two attempts at this question) 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 e. Based on this we: (you have two attempts at this question) Reject Ho because the p-value is less than the significance level O FTR Ho because the p-value is less than the significance level O Reject Ho because the p-value is greater than the significance level FTR Ho because the p-value is greater than the significance level FTR HA because the p-value is less than to the significance level Reject HA because the p-value is less than to the significance level

Explanation / Answer

a)

Before After dbar

159.8 165 -5.2

155.7 163.8 -8.1

160.7 165.5 -4.8

159.9 163.5 -3.6

159.4 163.1 -3.7

162.6 158.8 3.8

161.2 164.7 -3.6

159 162.9 -3.9

b)

H0 : mud = 0 ; Ha : mud < zero

c)

Test statistics:

dbar = (before) - (after) = -3.6375

s(dbar) = 3.3615

SE = s(dbar)/sqrt(n) =1.1885

Test Statisitcs, t = dbar/SE=-3.0606

degrees of freedom = n-1= 7

d)

p-value = 0.0092

e)

Reject H0 because p value is less than significance level

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