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Statistics / Probability and Statistical Inference 9 / Chapter 7.2 / Problem 7.2-11

Probability and Statistical Inference | 9th Edition | ISBN: 9780321923271 | Authors: Robert V. Hogg, Elliot Tanis, Dale Zimmerman

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The Biomechanics Lab at Hope College tested healthy old women and healthy young women to

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QUESTION:

The Biomechanics Lab at Hope College tested healthy old women and healthy young women to discover whether or not lower extremity response time to a stimulus is a function of age. Let X and Y respectively equal the independent response times for these two groups when taking steps in the anterior direction. Find a one-sided 95% confidence interval that is a lower bound for \(\mu X - \mu Y\) if n = 60 observations of X yielded \(\bar x = 671\) and \(s_x = 129\), while m = 60 observations of Y yielded \(\bar y = 480\) and \(s_y = 93\).

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QUESTION:

The Biomechanics Lab at Hope College tested healthy old women and healthy young women to discover whether or not lower extremity response time to a stimulus is a function of age. Let X and Y respectively equal the independent response times for these two groups when taking steps in the anterior direction. Find a one-sided 95% confidence interval that is a lower bound for \(\mu X - \mu Y\) if n = 60 observations of X yielded \(\bar x = 671\) and \(s_x = 129\), while m = 60 observations of Y yielded \(\bar y = 480\) and \(s_y = 93\).

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