SOLUTION: A researcher posed a null hypothesis that there was no significant difference between boys and girls on a standard memory test. He randomly sampled 100 girls and 100 boys in a comm

Question 1057551: A researcher posed a null hypothesis that there was no significant difference between boys and girls on a standard memory test. He randomly sampled 100 girls and 100 boys in a community and gave them the standard memory test. The mean score for girls was 70 and the standard deviation of mean was 5.0. The mean score for boys was 65 and the standard deviation of mean was 5.0. What is the standard error of the difference in means? (Show work)
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
A researcher posed a null hypothesis that there was no significant difference between boys and girls on a standard memory test. He randomly sampled 100 girls and 100 boys in a community and gave them the standard memory test. The mean score for girls was 70 and the standard deviation of mean was 5.0. The mean score for boys was 65 and the standard deviation of mean was 5.0. What is the standard error of the difference in means? (Show work)
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Comment: You cannot have a strictly negative null hypothesis.
Ho MUST contain equality:: = or <= or >=
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Regarding the standard error::
s = sqrt[5^2/100 + 5^2/100] = sqrt[(1/4)+(1/4)] = sqrt(1/2) = sqrt(2)/2)
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Cheers,
Stan H.
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