Super Slim, a weight loss society, is offering a weight reduction programme that they advertise will result in a waist loss in the first 30 days of the programme. Twenty-six subjects were independently and randomly selected for a study, and their waist sizes before and after the weight loss programme were recorded. Test the hypothesis at a 0.05 significance level that the claim made by super slim is valid using the dataset “super_slim”. 3.1. Define the hypothesis. 3.2. Calculate the test statistic. 3.3. Provide a conclusion. data super_slim; input customer $ before after; datalines; 1 199 119 2 111.3 107.1 3 113.4 90.3 4 107.01 100.1 5 123.9 95.9 6 116.9 93.8 7 110.6 93.1 8 124.6 89.6 9 98.7 106.4 10 114.1 99.4 11 107.8 98 12 111.3 107.8 13 111.3 100.1 14 96.6 102.9 15 112.7 99.4 16 109.2 104.3 17 115.5 95.2 18 110.6 107.8 19 105.7 98 20 115.5 101.5 21 108.5 97.5 22 107.8 98 23 102.9 87.5 24 109.2 98.7 25 108.5 102.2 26 118.3 94.5 ; run;
3. Super Slim, a weight loss society, is offering a weight reduction programme that they advertise will result in a waist loss in the first 30 days of the programme. Twenty-six subjects were independently and randomly selected for a study, and their waist sizes before and after the weight loss programme were recorded. Test the hypothesis at a 0.05 significance level that the claim made by super slim is valid using the dataset “super_slim”.
3.1. Define the hypothesis.
3.2. Calculate the test statistic.
3.3. Provide a conclusion.
data super_slim;
input customer $ before after;
datalines;
1 199 119
2 111.3 107.1
3 113.4 90.3
4 107.01 100.1
5 123.9 95.9
6 116.9 93.8
7 110.6 93.1
8 124.6 89.6
9 98.7 106.4
10 114.1 99.4
11 107.8 98
12 111.3 107.8
13 111.3 100.1
14 96.6 102.9
15 112.7 99.4
16 109.2 104.3
17 115.5 95.2
18 110.6 107.8
19 105.7 98
20 115.5 101.5
21 108.5 97.5
22 107.8 98
23 102.9 87.5
24 109.2 98.7
25 108.5 102.2
26 118.3 94.5
;
run;
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