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Homework answers / question archive / To test if there is a difference in IQ scores between UT students and A&M students, a researcher collected IQ scores of 30 UT students and 20 A&M students
To test if there is a difference in IQ scores between UT students and A&M students, a researcher collected IQ scores of 30 UT students and 20 A&M students. If the population standard deviation of IQ scores across two schools are assumed to be 15, what would be the population standard error of the difference?
The population standard error of the difference is 1.1180
Explanation
The standard error is given by,
SEx1-x2 = sqrt [ s12 / n1 + s22 / n2 ]
Where s12 = 15, s22 = 15, n1 = 30, n2 = 20.
Plugging in the values we have,
SE = sqrt [ 15 / 30 + 15 / 20]
SE = sqrt [1.25]
SE = 1.1180
Therefore, the population standard error of the difference is 1.1180
