In a study designed to test the \"truth\" to the theory that, on average, U.S. a
ID: 3182666 • Letter: I
Question
In a study designed to test 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 = 0.025
Table 1: Weights (lb) before Thanksgiving and on Jan. 3rd for 8 U.S. adults
Pre-Thanksgiving 171.7 166.8 171.4 162.1 168.6 172.5 165.7 171.2
Jan. 3rd 171.6 172.2 170.7 175.4 172.8 172.5 169.1 173.9
Diff .1 -5.4 .7 -13.3 -4.2 0 -3.4 -2.7
B) The appropriate null/alternative hypothesis pair for this study is:
Ho: 1 - 2 0 ; Ha: 1 - 2 > 0
Ho: d = 0 ; Ha: d 0
Ho: 1 - 2 0 ; Ha: 1 - 2 < 0
Ho: d 0 ; Ha: d < 0
Ho: d 0 ; Ha: d > 0
Ho: 1 - 2 = 0 ; Ha: 1 - 2 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
E) Based on this we:
FTR Ho because the p-value is greater 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
Reject Ho because the p-value is greater than the significance level
Explanation / Answer
B) Ho: d 0 ; Ha: d < 0
c)test stat =-2.2010
d)p value=0.0295
E) FTR Ho because the p-value is greater than the significance level
pre thanks Jan 3rd difference(d) 171.7 171.6 0.1 166.8 172.2 -5.4 171.4 170.7 0.7 162.1 175.4 -13.3 168.6 172.8 -4.2 172.5 172.5 0 165.7 169.1 -3.4 171.2 173.9 -2.7 mean -3.525 std deviaition 4.5298 std error= std dev/(n)^(1/2) 1.6015 t stat= (d)/std error -2.2010 p value = 0.0295