Task:
You have noticed that more primary children are becoming obese and physical fitness has been terminated in the elementary schools. To provide evidence that reducing physical activity in the schools results in increased weight gain, you study 16 randomly selected non-obese children for 8-weeks. The following data are the weights of each child prior to the termination of physical activity and 8 weeks after the termination.
Student Weight before Weight after
1 70.4 61.7
2 73.6 58.8
3 82.1 66
4 75.2 66.2
5 64.5 79
6 75.3 82.3
7 75.0 74.3
8 74.0 59.3
9 58.3 79.1
10 72.1 66
11 76.3 73.4
12 73.5 76.9
13 72.1 93.1
14 68.9 63
15 69.8 68.2
16 91.4 60.3
State the null and alternative hypotheses.
Using the test statistic, degrees of freedom and p-value, what can you conclude about the null hypothesis?
What is the 95% confidence interval of the difference?
Interpret the 95% confidence interval using the context of this problem.
Using the output, elaborate on the conclusion you made about the hypothesis (hint: use the descriptive statistics to discuss your findings).
What are two other plausible explanations of the results?
What would your recommend to the Board of Education and why?