You are a data analyst for a health insurance company and want to estimate the population mean of the surgery durations for all heart valve patients. 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 99% confidence interval for the population mean of the surgery durations for all heart valve patients. (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. (b) Take Sample Sample size: 0 Point estimate: 0 Population standard deviation: 0 Critical value: 0 Compute 0.00 0.00 Number of patients 32 2.00 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 99% confidence interval. (Choose the correct critical value from the table of critical values provided.) When you are done, select "Compute". Standard error: Sample mean Margin of error: 99% confidence interval: 4.00 99% confidence interval: 4.38 6.00 X Sample standard Confidence level 99% 95% 90% deviation 8.00 1.46 Based on your sample, enter the lower and upper limits to graph the 99% confidence interval for the population mean of the surgery durations for all heart valve patients. Critical value 20.005=2.576 20.025=1.960 20.050=1.645 Population standard 10.00 deviation 10.00 1.92
You are a data analyst for a health insurance company and want to estimate the population mean of the surgery durations for all heart valve patients. 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 99% confidence interval for the population mean of the surgery durations for all heart valve patients. (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. (b) Take Sample Sample size: 0 Point estimate: 0 Population standard deviation: 0 Critical value: 0 Compute 0.00 0.00 Number of patients 32 2.00 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 99% confidence interval. (Choose the correct critical value from the table of critical values provided.) When you are done, select "Compute". Standard error: Sample mean Margin of error: 99% confidence interval: 4.00 99% confidence interval: 4.38 6.00 X Sample standard Confidence level 99% 95% 90% deviation 8.00 1.46 Based on your sample, enter the lower and upper limits to graph the 99% confidence interval for the population mean of the surgery durations for all heart valve patients. Critical value 20.005=2.576 20.025=1.960 20.050=1.645 Population standard 10.00 deviation 10.00 1.92
College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter8: Sequences, Series, And Probability
Section8.7: Probability
Problem 58E: What is meant by the sample space of an experiment?
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Transcribed Image Text:You are a data analyst for a health insurance company and want to estimate the population mean of the surgery durations for all heart valve patients. 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 99% confidence interval for the population mean of the surgery durations for all heart valve
patients. (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.
(b)
Take Sample
Sample size:
0
Point estimate:
0
Population standard deviation:
0
Critical value:
0
Compute
0.00
0.00
Number of patients
32
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 99% confidence interval. (Choose the correct critical value from the table of critical values provided.) When you are done, select "Compute".
2.00
Standard error:
Sample mean
Margin of error:
99% confidence interval:
4.00
99% confidence interval:
4.38
6.00
Confidence
level
99%
95%
Sample standard
deviation
90%
Based on your sample, enter the lower and upper limits to graph the 99% confidence interval for the population mean of the surgery durations for all
heart valve patients.
8.00
1.46
X
Critical value
0.005=2.576
20.025=1.960
0.050=1.645
3
Population standard
10.00
deviation
10.00
1.92
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