A prominent medical group claims that the population mean of the surgery durations for all heart valve patients is 4.43 hours. You are a data analyst for a health insurance company and want to test that claim. To do so, you select a random sample of 32 heart valve surgery patients, and you record the surgery duration for each. Assume it is known that the population standard deviation of the durations of all heart valve surgeries is 1.92 hours. Based on your sample, follow the steps below to construct a 95% confidence interval for the population mean of the surgery durations for all heart valve patients. Then state whether the confidence interval you construct contradicts the medical group's claim. (If necessary, consult a list of formulas.) (a) Click on "Take Sample" to see the results from your random sample of 32 heart valve patients. Take Sample Sample size: 0 Point estimate: Number of patients Population standard deviation: 0 Critical value: 0 Compute 32 Sample mean 4.61 Enter the values of the sample size, the point estimate for the population mean, the population standard deviation, and the critical value you need for your 95% confidence interval. (Choose the correct critical value from the table of critical values provided.) When you are done, select "Compute". Standard error: Margin of error: Sample standard deviation 1.76 95% confidence interval: X Population standard Critical values 20.005=2.576 ²0.010=2.326 20.025 = 1.960 20.050 = 1.645 20.100 = 1.282 deviation 1.92
A prominent medical group claims that the population mean of the surgery durations for all heart valve patients is 4.43 hours. You are a data analyst for a health insurance company and want to test that claim. To do so, you select a random sample of 32 heart valve surgery patients, and you record the surgery duration for each. Assume it is known that the population standard deviation of the durations of all heart valve surgeries is 1.92 hours. Based on your sample, follow the steps below to construct a 95% confidence interval for the population mean of the surgery durations for all heart valve patients. Then state whether the confidence interval you construct contradicts the medical group's claim. (If necessary, consult a list of formulas.) (a) Click on "Take Sample" to see the results from your random sample of 32 heart valve patients. Take Sample Sample size: 0 Point estimate: Number of patients Population standard deviation: 0 Critical value: 0 Compute 32 Sample mean 4.61 Enter the values of the sample size, the point estimate for the population mean, the population standard deviation, and the critical value you need for your 95% confidence interval. (Choose the correct critical value from the table of critical values provided.) When you are done, select "Compute". Standard error: Margin of error: Sample standard deviation 1.76 95% confidence interval: X Population standard Critical values 20.005=2.576 ²0.010=2.326 20.025 = 1.960 20.050 = 1.645 20.100 = 1.282 deviation 1.92
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Transcribed Image Text:A prominent medical group claims that the population mean of the surgery durations for all heart valve patients is 4.43 hours. You are a data analyst for a
health insurance company and want to test that claim. To do so, you select a random sample of 32 heart valve surgery patients, and you record the surgery
duration for each. Assume it is known that the population standard deviation of the durations of all heart valve surgeries is 1.92 hours.
Based on your sample, follow the steps below to construct a 95% confidence interval for the population mean of the surgery durations for all heart valve
patients. Then state whether the confidence interval you construct contradicts the medical group's claim. (If necessary, consult a list of formulas.)
(a) Click on "Take Sample" to see the results from your random sample of 32 heart valve patients.
Take Sample
Sample size:
0
Point estimate:
Population standard deviation:
Critical value:
0
Number of patients
Compute
32
Sample mean
4.61
Enter the values of the sample size, the point estimate for the population mean, the population standard deviation, and the critical value you need
for your 95% confidence interval. (Choose the correct critical value from the table of critical values provided.) When you are done, select "Compute".
Standard error:
Margin of error:
Sample standard
95% confidence interval:
deviation
1.76
X
Critical values
²0.005 = 2.576
Population standard
²0.010 = 2.326
²0.025 = 1.960
²0.050 = 1.645
²0.100 = 1.282
deviation
1.92
Transcribed Image Text:(b) Based on your sample, graph the 95% confidence interval for the population mean of the surgery durations for all heart valve patients.
• Enter the lower and upper limits on the graph to show your confidence interval.
.
For the point (◆), enter the medical group's claim of 4.43 hours.
0.00
0.00
2.00
95% confidence interval:
4.00
5.00
6.00
8.00
10.00
10.00
Does the 95% confidence interval you constructed contradict the medical group's claim? Choose the best answer from the choices below.
O No, the confidence interval does not contradict the claim. The medical group's claim of 4.43 hours is inside the
95% confidence interval.
O No, the confidence interval does not contradict the claim. The medical group's claim of 4.43 hours is outside the
95% confidence interval.
O Yes, the confidence interval contradicts the claim. The medical group's claim of 4.43 hours is inside the 95%
confidence interval.
O Yes, the confidence interval contradicts the claim. The medical group's claim of 4.43 hours is outside the 95%
confidence interval.
X
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