2. In a study of the effectiveness of physical exercise in weight t persons enga

Question

2. In a study of the effectiveness of physical exercise in weight t persons engaged in a prescribed program of physical exercise for one mo the following results Weight before (bs) Weight afterbs) Weight before (lbs eduction, a group of 16 Weight after (bs.) 196 Weaehit a 209 178 169 212 180 192 158 180 Weight before bsGA 164 152 179 170 153 183 165 201 179 243 170 207 162 199 190 159 180 173 231 140 144 U'se the 0.01 level of significance to test whether the prescribed program of exercise b Use the 0.01 l evel of significance to test whether the prescribed program of exercise is effective

Explanation / Answer

Paired t-test suggests that at 0.01 level of significance that prescribed program of physical exercise for one month showed that significant effects of physical exercise in weight reduction. Mean of 182.25±24.90 lbs at initial measurement reduced to mean of 178.12±22.5 lbs at one month of physical exercise, which is significant at 0.01 level, P value = 0.0010

STATA output is given below

. ttest weightbefore = weightafter, level(99)

Paired t-test
------------------------------------------------------------------------------
Variable | Obs Mean Std. Err. Std. Dev. [99% Conf. Interval]
---------+--------------------------------------------------------------------
weight~e | 16 182.25 6.227292 24.90917 163.9 200.6
weight~r | 16 178.125 5.640534 22.56214 161.504 194.746
---------+--------------------------------------------------------------------
diff | 16 4.125 1.016018 4.06407 1.131088 7.118912
------------------------------------------------------------------------------
mean(diff) = mean(weightbfore - weightafter) t = 4.0600
Ho: mean(diff) = 0 degrees of freedom = 15

Ha: mean(diff) < 0 Ha: mean(diff) != 0 Ha: mean(diff) > 0
Pr(T < t) = 0.9995   Pr(|T| > |t|) = 0.0010 Pr(T > t) = 0.0005

SPSS output is given below

Paired Samples Statistics

Mean

N

Std. Deviation

Std. Error Mean

Pair 1

Wt_before

182.25

16

24.909

6.227

Wt_after

178.13

16

22.562

5.641

Paired Samples Correlations

N

Correlation

Sig.

Pair 1

Wt_before & Wt_after

16

.990

.000

Paired Samples Test

Paired Differences

t

df

Sig. (2-tailed)

Mean

Std. Deviation

Std. Error Mean

99% Confidence Interval of the Difference

Lower

Upper

Pair 1

Wt_before - Wt_after

4.125

4.064

1.016

1.131

7.119

4.060

15

.001

Paired Samples Statistics

Mean

N

Std. Deviation

Std. Error Mean

Pair 1

Wt_before

182.25

16

24.909

6.227

Wt_after

178.13

16

22.562

5.641

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