What is the probably of observing a difference in sample means less than 0.5?

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
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Chapter1: Starting With Matlab
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Assume the same population of nurses from CR hospital with the same mean and standard deviation of 13.7 minutes and 3.4 minutes respectively. Additionally, assume a second population of nurses from Top hospital clocks a mean completion time of 12.3 minutes with a standard deviation of 4.1 minutes and completion time is normally distributed. Suppose 15 and 10 nurses were randomly selected from CR and Top hospitals, respectively. Assign the chimney rock and topsail nurses to population 1 and 2 respectively. What is the probably of observing a difference in sample means less than 0.5?

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