In: Statistics and Probability
Construct a confidence interval for ?? the mean of the differences d for the population of paired data. Assume that the population of paired differences is normally distributed. The table shows the weights of 9 subjects before and after following a particular diet for two months. Construct a 99% confidence interval for the mean difference of the “before” minus “after” weights. Round to one decimal place.
Subject |
A |
B |
C |
D |
E |
F |
G |
H |
I |
Before |
168 |
180 |
157 |
132 |
202 |
124 |
190 |
210 |
171 |
After |
162 |
178 |
145 |
125 |
171 |
126 |
180 |
195 |
163 |
Find sample size, mean and standard deviation from both before and after data:
Formula Ref:
99% Confidence interval mean difference:
a 99% confidence interval for the mean difference of the “before” minus “after” weights are (-27.1, 46.9)