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# Test of hypothesis using dependent samples

The number of sit-ups that a person can do in one minute, both before and after a physical fitness course was recorded. The data is shown below for 10 randomly selected participants. Is there sufficient evidence to conclude that a significant amount of improvement took place? Assume variable is normally distributed. Test using alpha = 0.01.
Before 30 23 25 29 27 25 30 45 34 26
After 31 27 25 35 34 35 32 52 50 43

#### Solution Preview

The number of sit-ups that a person can do in one minute, both before and after a physical fitness course was recorded. The data is shown below for 10 randomly selected participants. Is there sufficient evidence to conclude that a significant amount of improvement took place? Assume variable is normally distributed. Test using alpha = 0.01.
Before 30 23 25 29 27 25 30 45 34 26
After 31 27 25 35 34 35 32 52 50 43

Number of sit ups
Before After "Difference
"
30 31 1
23 ...

#### Solution Summary

Tests the hypothesis that significant amount of improvement took place after a physical fitness course.

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