Can you be 96% confident that there is a difference in the means of the two populations?

MATLAB: An Introduction with Applications
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A company would like to determine if there is a difference in the number of days that employees are absent from the East Side Plant compared to the West Side Plant. So, the company takes a sample of 54 employees from the East Side Plant and finds that these people missed an average of 5.3 days last year with a standard deviation of 1.3 days. A sample of 41 employees from the West Side plant revealed that these people were absent an average of 6.8 days last year with a standard deviation of 1.8 days.

b) Can you be 96% confident that there is a difference in the means of the two populations?

 

Expert Solution
Step 1

Here Take 

For East Side plant

Sample Size=n1=54

Sample mean=x1 = 5.3 Days

Sample Sd=s1= 1.3 Days

Now For West Side plant

Sample Size=n2=41

Sample mean=x2=6.8 Days

Sample sd=s2= 1.8 Days

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