Question

A track coach would like to study the impact of attending a summer training camp on improving running times for the 100 meter dash. She takes a simple random sample of 33 athletes and measures each of their 100m dash times before and after the training camp. The average of the differences is -0.12 seconds with a standard deviation of 0.02 seconds.

1. establish the null and alternative hypothesis

2. find the test statistic

3. specify the null distribution and find the p-value

4. interpret the p-value and state your conclusion

Answer #1

This is a paired sample T-test as times measured before and after is for the same person.

1)

the difference shall be less than 0 for improved running times.

3) P-value for the one-tailed test is nearly 0

4) Since the p-value is less than the significance value 0.05, We will reject the null hypothesis to support the claim that attending a summer training camp improved running times for the 100 meter dash

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