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# Paired t test

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?

#### Solution Summary

The solution provides step by step method for the calculation of testing of hypothesis. Formula for the calculation and Interpretations of the results are also included. Interactive excel sheet is included. The user can edit the inputs and obtain the complete results for a new set of data.

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