Answered: Solve the problem. 13) A researcher…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Solve the problem. 13)
A researcher wants to know whether athletic women, on average, are more flexible than non-athletic women.
For this experiment, a woman who exercised vigorously at least four times per week was considered "athletic."
Flexibility is measured in inches on a sit & reach box. Test the researcher's claim using the following summary
statistics:
Assume that all conditions for testing have been met. Report the test statistic and p-value. At the 1%
significance level, state your decision regarding the null hypothesis and your conclusion about the original
claim. Round all values to the nearest thousandth.
H0:________________________ Ha:_______________________
p-value = ___________ Compare the p-value and Į:________________
Decision:_________________________
Conclusion:_______________________________________________________________________________________

**Solve the problem.**

A researcher wants to know whether athletic women, on average, are more flexible than non-athletic women. For this experiment, a woman who exercised vigorously at least four times per week was considered "athletic." Flexibility is measured in inches on a sit & reach box. Test the researcher's claim using the following summary statistics:

| | Athletic Women | Non-athletic Women |
|------------------|--------------------|--------------------|
| Sample size (n) | 50 | 30 |
| Mean ($ \bar{x} $) | 5.0 inches | 4.6 inches |
| Standard deviation (s) | 1.4 inches | 0.8 inches |

Assume that all conditions for testing have been met. Report the test statistic and p-value. At the 1% significance level, state your decision regarding the null hypothesis and your conclusion about the original claim. Round all values to the nearest thousandth.

$ H_0: $ _____________________ $ H_a: $ _____________________

p-value = __________ Compare the p-value and $ \alpha: $ ________________

Decision: _____________________

Conclusion: __________________________________________________________________

______________________________________________________________________________

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