Two independent samples of observations were collected. For the fi rst 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 α = 0.01, test whether the two samples can reasonably be considered to have come from populations with the same mean.

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