use paired t test 5 level significance what critical value and computed statistic

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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? Use a paired t-test at a 5% level of 

significance. 

1. df=_____ (2 points) 

2. Critical value: ______ (2 points) 

3. Computed statistic:_____ (2 points) 

4. Based on comparing the computed statistic to the critical value which of the following 

is (are) true? (4 points) 

a. There is significant evidence, alpha=0.05, to show that body weight increased 

following supplementation? 

b. There is not significant evidence, alpha=0.05, to show that body weight increased 

following supplementation? 

c. Statistically speaking the difference in initial weights and weights after 6 weeks is 0. 

d. b and

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