A small pilot study is conducted to investigate the effect of a nutritional supplement on total body weight. Six participants agree to take the nutritional supplement. To assess its effect on body weight, weights are measured before starting the supplementation and then after 6 weeks. The data are shown below. Is there a significant increase in body weight following supplementation? Run the test at a 5% level of significance. Make sure to 1. Give the null and alternative hypotheses, 2. Calculate the test statistic, and 3. give the conclusion (including a comparison to alpha or the critical value) to receive full credit.
|
Subject
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Initial Weight
|
Weight after 6 Weeks
|
|
1
|
155
|
157
|
|
2
|
142
|
145
|
|
3
|
176
|
180
|
|
4
|
180
|
175
|
|
5
|
210
|
209
|
|
6
|
125
|
126
|