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# Hypothesis Testing: Paired t test

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Ketsia is the fitness coordinator at the local youth center. She has found a program that proports to help teens lose weight if they complete the course. A random sample of five recent participants showed that the following weights before and after completing the course. At the .05 significance level, can we conclude that the participants lose weight?

At the .05 significance level, are the weights after the program less than the weights before?

Use the five-step hypothesis test. Show your work or provide output. Be sure to interpret the results.

BEFORE AFTER
#1 155 154
#2 125 122
#3 141 147
#4 162 150
#5 135 133
#6 164 150
#7 120 107
#8 134 129
#9 142 144
#10 139 130
#11 127 127

Step 1:
Ho:
Ha:

Step 2:

Step 3:

Step 4:

Step 5:?

https://brainmass.com/statistics/students-t-test/calculation-test-statistic-paired-t-test-276514

#### Solution Preview

Workings are given in the Excel sheet.

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Ketsia is the fitness coordinator at the local youth centre. She has found a program that proports to help teens lose weight if they complete the course. A random sample of five recent participants showed that the following weights before and after completing the course. At the .05 significance level, can we conclude that the participants lose weight?

At the .05 significance level, are the weights after the program less than the weights before?

Use ...

#### Solution Summary

The solution provides step by step method for the calculation of test statistic for paired t test. 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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