Electrical Engineers Computer  Majors Sample Size 500 500 Sample average 60000 58,500 Sample Standard Deviation  8,000 13,000 Compute the p-value.

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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An economist believes he can show that the average starting salary for electrical engineer's exceeds the average starting salaries for computer science majors.  We test the hypotheses 

H0: ?1−?2=0μ1−μ2=0 versus H1: ?1−?2>0μ1−μ2>0

at 1% level of significance.  Here, the average starting salary of electrical engineers, and  denotes the average starting salary of a computer science major.  We test these hypotheses by obtaining a random sample of 500 electrical engineer's starting salaries and independently, we obtain a random sample of 500 starting salaries for computer science majors.  The results of the two-samples are recorded in the table below:

  Electrical Engineers Computer  Majors
Sample Size 500 500
Sample average 60000 58,500
Sample Standard Deviation  8,000

13,000

Compute the p-value.

 
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