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 14 people with the illness, and the second group consisted of 12 people with the illness. The first group received treatment 1 and had a mean time until remission of 172 days with a standard deviation of 8 days. The second group received treatment 2 and had a mean time until remission of 183 days with a standard deviation of 5 days. Assume that the populations of times until remission for each of the two treatments are normally distributed with equal variance. Construct a 95% confidence interval for the difference u, -µ, between the mean number of days before remission after treatment 1 (µ1) and the mean number of days before remission after treatment 2 (µ,). Then find the lower limit and upper limit of the 95% confidence interval. Carry your intermediate computations to at least three decimal places. Round your responses to at least two decimal places. (If necessary, consult a list of formulas.) Lower limit: n ? Upper limit:

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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 14 people with the illness, and the second group consisted of 12 people with the illness. The first group received
treatment 1 and had a mean time until remission of 172 days with a standard deviation of 8 days. The second group received treatment 2 and had a mean time
until remission of 183 days with a standard deviation of 5 days. Assume that the populations of times until remission for each of the two treatments are
normally distributed with equal variance. Construct a 95% confidence interval for the difference u, -H, between the mean number of days before remission
after treatment 1 (u,) and the mean number of days before remission after treatment 2 (u). Then find the lower limit and upper limit of the 95% confidence
interval.
Carry your intermediate computations to at least three decimal places. Round your responses to at least two decimal places. (If necessary, consult a list of
formulas.)
Lower limit:
?
Upper limit:
Transcribed Image Text: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 14 people with the illness, and the second group consisted of 12 people with the illness. The first group received treatment 1 and had a mean time until remission of 172 days with a standard deviation of 8 days. The second group received treatment 2 and had a mean time until remission of 183 days with a standard deviation of 5 days. Assume that the populations of times until remission for each of the two treatments are normally distributed with equal variance. Construct a 95% confidence interval for the difference u, -H, between the mean number of days before remission after treatment 1 (u,) and the mean number of days before remission after treatment 2 (u). Then find the lower limit and upper limit of the 95% confidence interval. Carry your intermediate computations to at least three decimal places. Round your responses to at least two decimal places. (If necessary, consult a list of formulas.) Lower limit: ? Upper limit:
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