Patient Weight before Weight loss program Weight after Weight loss program A 150 148 B 220 221 C 175 170 D 200 200 E 300 295 F 290 293 G 285 282 H 195 194 I 295 292 Identify the hypotheses being tested: HINT: Small sample, we are testing the DIFFERENCE, We want to know if it is less than when AFTER - BEFORE. Basically we believe the weight loss program lowers the participant’s weight. Improvement means weight went down. Given: level alpha is 0.01. QUESTION: What is the conclusion? a) We DO reject Ho. There is statistically significant evidence to reject Ho. We conclude the average difference (After - Before program) in weight is less than 0. b) We DO NOT reject Ho. There is NOT statistically significant evidence to reject Ho. We conclude the average difference (After - Before program) in weight is NOT less than 234.44. c) We DO NOT reject Ho. There is NOT statistically significant evidence to reject Ho. We conclude the average difference (After - Before program) in weight is NOT less than 0. d) We DO reject Ho. There is statistically significant evidence to reject Ho. We conclude the average difference (After - Before program) in weight is less than 2.34.44
Patient |
Weight before Weight loss program |
Weight after Weight loss program |
A |
150 |
148 |
B |
220 |
221 |
C |
175 |
170 |
D |
200 |
200 |
E |
300 |
295 |
F |
290 |
293 |
G |
285 |
282 |
H |
195 |
194 |
I |
295 |
292 |
Identify the hypotheses being tested: HINT: Small sample, we are testing the DIFFERENCE, We want to know if it is less than when AFTER - BEFORE. Basically we believe the weight loss program lowers the participant’s weight. Improvement means weight went down. Given: level alpha is 0.01. QUESTION: What is the conclusion?
a) We DO reject Ho. There is statistically significant evidence to reject Ho. We conclude the average difference (After - Before program) in weight is less than 0.
b) We DO NOT reject Ho. There is NOT statistically significant evidence to reject Ho. We conclude the average difference (After - Before program) in weight is NOT less than 234.44.
c) We DO NOT reject Ho. There is NOT statistically significant evidence to reject Ho. We conclude the average difference (After - Before program) in weight is NOT less than 0.
d) We DO reject Ho. There is statistically significant evidence to reject Ho. We conclude the average difference (After - Before program) in weight is less than 2.34.44.
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