Using the latest in medical technology, an orthopedic doctor has developed a new surgical procedure. He wants to estimate the difference between the mean recovery time of patients who have the new procedure and the mean recovery time of patients who have the standard procedure. The doctor studies a random sample of 11 patients who have the new procedure and a random sample of 10 patients who have the standard procedure. (These samples are chosen independently.) The doctor records each patient's recovery time (in days). The patients who had the new procedure have a sample mean recovery time of 367.2 with a sample variance of 1781.8. The patients who had the standard procedure have a sample mean recovery time of 392.5 with a sample variance of 122.1. Assume that the two populations of recovery times are approximately normally distributed. Let μ, be the population mean recovery time of patients who have the new procedure. Let ₂ be the population mean recovery time of patients who have the standard procedure. Construct a 90% confidence interval for the difference H₁-H₂. Then find the lower and upper limit of the 90% confidence interval. Carry your intermediate computations to three or more decimal places. Round your answers to two or more decimal places. (If necessary, consult a list of formulas.) Lower limit: Upper limit: X S
Using the latest in medical technology, an orthopedic doctor has developed a new surgical procedure. He wants to estimate the difference between the mean recovery time of patients who have the new procedure and the mean recovery time of patients who have the standard procedure. The doctor studies a random sample of 11 patients who have the new procedure and a random sample of 10 patients who have the standard procedure. (These samples are chosen independently.) The doctor records each patient's recovery time (in days). The patients who had the new procedure have a sample mean recovery time of 367.2 with a sample variance of 1781.8. The patients who had the standard procedure have a sample mean recovery time of 392.5 with a sample variance of 122.1. Assume that the two populations of recovery times are approximately normally distributed. Let μ, be the population mean recovery time of patients who have the new procedure. Let ₂ be the population mean recovery time of patients who have the standard procedure. Construct a 90% confidence interval for the difference H₁-H₂. Then find the lower and upper limit of the 90% confidence interval. Carry your intermediate computations to three or more decimal places. Round your answers to two or more decimal places. (If necessary, consult a list of formulas.) Lower limit: Upper limit: X S
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.3: Measures Of Spread
Problem 1GP
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Using the latest in medical technology, an orthopedic doctor has developed a new surgical procedure. He wants to estimate the difference between the
mean recovery time of patients who have the new procedure and the mean recovery time of patients who have the standard procedure.
The doctor studies a random sample of 11 patients who have the new procedure and a random sample of 10 patients who have the standard procedure.
(These samples are chosen independently.) The doctor records each patient's recovery time (in days). The patients who had the new procedure have a
sample mean recovery time of 367.2 with a sample variance of 1781.8. The patients who had the standard procedure have a sample mean recovery time
of 392.5 with a sample variance of 122.1.
Assume that the two populations of recovery times are approximately normally distributed. Let μ, be the population mean recovery time of patients who
have the new procedure. Let μ₂ be the population mean recovery time of patients who have the standard procedure.
Construct a 90% confidence interval for the difference μ₁ M₂. Then find the lower and upper limit of the 90% confidence interval. Carry your
intermediate computations to three or more decimal places. Round your answers to two or more decimal places. (If necessary, consult a list of formulas.)
Lower limit:
Upper limit:
X
S
8
B
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