SOLUTION: Two independent samples of observations were collected. For the first sample of 60 elements, the mean was 86 and the standard deviation 6. The second sample of 75 elements had a me
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Question 1171701: Two independent samples of observations were collected. For the first sample of 60 elements, the mean was 86 and the standard deviation 6. The second sample of 75 elements had a mean of 82 and a standard deviation of 9.
(a) Compute the estimated standard error of the difference between the two means.
(b) Using £ = 0.01, test whether the two sample can reasonably be considered to have come from populations with the same mean.
You can put this solution on YOUR website! SE is sqrt((s1^2/n1)+(s2^2/n2))
=sqrt((36/60)+(81/75))
=1.296
difference in means is 4
the t-value for df=133 is 3.08
p-value for two way test is 0.0025
fail to reject Ho; the two samples should be treated as if they came from different populations.
