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. Compute the estimated standard error of the difference between the two means. Using level of significance 0.01, test whether the two samples can reasonably be considered to have come from populations with the same mean.
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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.
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Compute the estimated standard error of the difference between the two means. Using level of significance 0.01, test whether the two samples can reasonably be considered to have come from populations with the same mean.
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Two research laboratories have independently produced drugs that provide relief to arthritis sufferers. The first drug was tested on a group of 90 arthritis sufferers and produced an average of 8.5 hours of relief, and the sample standard deviation of 1.8 hours. The second drug was tested on 80 arthritis sufferers, producing an average of 7.9 hours of relief, and a sample standard deviation of 2.1 hours. At the 0.05 level of significance, does the second drug, provide a significantly shorter period of relief?
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