Question #2015871: Confidence Intervals – Calculation


Question: 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 Difference
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
55.7
54.9
59.6
62.3
74.2
75.6
70.7
53.3
73.3
63.4
68.1
73.7
91.7
55.9
61.7
57.8
61.7
58.8
66
66.2
79
82.3
74.3
59.3
79.1
66
73.4
76.9
93.1
63
68.2
60.3

a. What is the 95% confidence interval?

b. Interpret the 95% confidence interval using the context of this problem.

c. State the null and alternative hypotheses.

d. Using the test statistic, degrees of freedom and p-value, what can you conclude about the null hypothesis?

e. What are other plausible explanations of the results?

Solution: The solution consists of 466 words (3 pages)
Deliverables: Word Document

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