4.2 Each of 9 people going on a diet was weighed before given a Very-low-calorie diet (VLCD) treatment and again after having been given (VLCD) treatment for 12 weeks.

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4.2 Each of 9 people going on a diet was weighed before given a Very-low-calorie diet
(VLCD) treatment and again after having been given (VLCD) treatment for 12 weeks.
Table gives B (before) and A (after) treatment data for obese female patients in a weight-
loss program.
Weights (kg) of Obese Women Before and After 12-Week VLCD Treatment
105.4 100.4 81.7
77.7
| A:
117.3 111.4
98.6
104.3
89.5
78.2
B:
83.3
85.9
75.8
82.9
82.3
62.7
69.0
63.9
a) Test at 5% level of significance, whether the treatment is effective in causing weight
reduction in these people. Assuming the weights before and after are normally
distributed.
b) Calculate a 95% confidence interval for the mean difference (u,)
Transcribed Image Text:4.2 Each of 9 people going on a diet was weighed before given a Very-low-calorie diet (VLCD) treatment and again after having been given (VLCD) treatment for 12 weeks. Table gives B (before) and A (after) treatment data for obese female patients in a weight- loss program. Weights (kg) of Obese Women Before and After 12-Week VLCD Treatment 105.4 100.4 81.7 77.7 | A: 117.3 111.4 98.6 104.3 89.5 78.2 B: 83.3 85.9 75.8 82.9 82.3 62.7 69.0 63.9 a) Test at 5% level of significance, whether the treatment is effective in causing weight reduction in these people. Assuming the weights before and after are normally distributed. b) Calculate a 95% confidence interval for the mean difference (u,)
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