Researchers interested in determining the relative effectiveness of two different drug treatments on people with a chronic illness established two independent test groups. The first group consisted of 12 people with the illness, and the second group consisted of 14 people with the illness. The first group received treatment 1 and had a mean time until remission of 166 days with a standard deviation of 8 days. The second group received treatment 2 and had a mean time until remission of 163 days with a standard deviation of 9 days. Assume that the populations of times until remission for each of the two treatments are normally distributed with equal variance. Construct a 90% confidence interval for the difference −μ1μ2 between the mean number of days before remission after treatment
Researchers interested in determining the relative effectiveness of two different drug treatments on people with a chronic illness established two independent test groups. The first group consisted of
people with the illness, and the second group consisted of
people with the illness. The first group received treatment
and had a mean time until remission of
days with a standard deviation of
days. The second group received treatment
and had a mean time until remission of
days with a standard deviation of
days. Assume that the populations of times until remission for each of the two treatments are
confidence interval for the difference
between the mean number of days before remission after treatment
(
) and the mean number of days before remission after treatment
(
). Then find the lower limit and upper limit of the
confidence interval.
Carry your intermediate computations to at least three decimal places. Round your responses to at least two decimal places.
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