Data for problem:
Column C
210 |
125 |
180 |
225 |
160 |
170 |
190 |
195 |
140 |
160 |
Column D
211 |
121 |
185 |
222 |
157 |
174 |
184 |
194 |
133 |
165 |
You are measuring weight loss using the same set of people at different times C and D. You want to know whether there is any difference in the weight between the start of the diet and the end of the diet. Column C gives the weight at the beginning of diet time. Column D gives the weight for the SAME person at the end of the diet time. Since there is data for the same person at different times, we will test whether µ(C-D) <= 0 or µ(C-D) > 0 (meaning the diet did cause weight loss) since we have correlated data (matched pairs).
C | D | C-D |
210 | 211 | -1 |
125 | 121 | 4 |
180 | 185 | -5 |
225 | 222 | 3 |
160 | 157 | 3 |
170 | 174 | -4 |
190 | 184 | 6 |
195 | 194 | 1 |
140 | 133 | 7 |
160 | 165 | -5 |
b)
c)
d)
this is two-tailed test
e) | mean | 0.9 |
f) | sd | 4.45845 |
g) | n | 10 |
h) | df | 9 |
i)TS = (Xbar)/(Sd/sqrt(n)) = 0.9/(4.45845/sqrt(10))
= 0.63835
j)
p-value = t.dist.2t(0.63835,9)
= 0.5391
k)
since p-value > alpha (0.01)
we fail to reject the null hypothesis
we conclude that there is no significant difference
Data for problem: Column C 210 125 180 225 160 170 190 195 140 160 ...
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