1.Fifteen obese persons were place on a diet for one month. Their weights (in lb
ID: 3132795 • Letter: 1
Question
1.Fifteen obese persons were place on a diet for one month. Their weights (in lbs.) at the beginning and at the end of the month are presented in the following table. Calculate the mean weight loss over a one month period and test the mean decline for statistical significance. Show all hypothesis testing steps. (You can use EXCEL to calculate the summary statistics)
Subject
Initial Weight
Final Weight
1
283
228
2
306
293
3
282
284
4
319
274
5
292
264
6
304
277
7
309
289
8
301
298
9
274
269
10
325
299
11
273
266
12
311
295
13
286
278
14
290
276
15
308
291
Subject
Initial Weight
Final Weight
1
283
228
2
306
293
3
282
284
4
319
274
5
292
264
6
304
277
7
309
289
8
301
298
9
274
269
10
325
299
11
273
266
12
311
295
13
286
278
14
290
276
15
308
291
Explanation / Answer
State the hypotheses: H0: mud=0 (The mean difference is 0)
H1:mud<0 (mean difference is less than 0).
State asumptions: Assume that the paired data collection, independent group assumption, independence assumption, randomization condition and nearly normal condition are reasonably met.
Perform test: Paired t test is applicable in thi sscenario.
n=15 pairs,dbar=-18.80 sd=15.58
SE(dbar)=Sd/sqrtn=15.58/sqrt 15=4.02
t=(dbar-0)/SE(dbar)=-18.80/4.02=-4.68
p value is 0.0000.
Conclusion: The p value is less than alpha=0.05. Therefore, reject null hypothesis to conclude that final weight is less than initial weight.
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