(a) Click on "Take Sample" to see the results from your random sample of 32 brain tumor patients. Sample standard deviation Population standard Number of patients Sample mear deviation Take Sample 32 3.21 1.39 1.68 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". Sample size: ? Standard error: Point estimate: Critical values Population standard deviation: Margin of error: F0.005 2.576 F0.010 -2.326 Critical value: F0.025 -1.960 99% confidence interval: F0.0501.645

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A prominent medical group daims that the population mean of the surgery durations for all brain tumor patients is 4.71 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 brain tumor surgery patients, and you record the surgery
duration for each. Assume it is known that the population standard deviation of the durations of all brain tumor surgeries is 1.68 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 brain tumor
patients. Then state whether the confidence interval you construct contradicts the medical group's clairm. (If necessary, consult a list of formulas.)
(a) Click on "Take Sample" to see the results from your random sample of 32 brain tumor patients.
Sample standard
Population standard
Number of patients
Sample mean
deviation
deviation
Take Sample
32
3.21
1.39
1.68
Enter the values of the sample size, the point estimate for the population mean, the population standard deviation, and the critiícal 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".
Sample size:
Standard error:
Point estimate:
Critical values
Population standard deviation:
Margin of error:
20.00s -2.576
F0.010 =2.326
Critical value:
F0.025 =1.960
99% confidence interval:
F0.0s0-1.645
Explanation
Check
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Transcribed Image Text:A prominent medical group daims that the population mean of the surgery durations for all brain tumor patients is 4.71 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 brain tumor surgery patients, and you record the surgery duration for each. Assume it is known that the population standard deviation of the durations of all brain tumor surgeries is 1.68 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 brain tumor patients. Then state whether the confidence interval you construct contradicts the medical group's clairm. (If necessary, consult a list of formulas.) (a) Click on "Take Sample" to see the results from your random sample of 32 brain tumor patients. Sample standard Population standard Number of patients Sample mean deviation deviation Take Sample 32 3.21 1.39 1.68 Enter the values of the sample size, the point estimate for the population mean, the population standard deviation, and the critiícal 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". Sample size: Standard error: Point estimate: Critical values Population standard deviation: Margin of error: 20.00s -2.576 F0.010 =2.326 Critical value: F0.025 =1.960 99% confidence interval: F0.0s0-1.645 Explanation Check 2021 McGraw HI Education. All Rights Reserved Terms of Use PrivacyI Accessibilty MacBook Air F7 %23 $ & 2 3 4 5 8. Q E R Y A G K C V alt command command optio レン .. **
(b) Based on your sample, graph the 99% confidence interval for the population mean of the surgery durations for all brain tumor 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 4.71 hours.
99% confidence interval:
0.00
10.00
5.00
0.00
2.00
4.00
6.00
8.00
10.00
(c) Does the 99% confidence interval you constructed contradict the medical group's daim? Choose the best answer from the choices below.
O No, the confidence interval does not contradict the claim. The medical group's claim of 4.71 hours is inside the 99%
confidence interval.
O No, the confidence interval does not contradict the claim. The medical group's claim of 4.71 hours is outside the 99%
confidence interval.
O Yes, the confidence interval contradicts the claim. The medical group's claim of 4.71 hours is inside the 99% confidence
interval.
O Yes, the confidence interval contradicts the claim. The medical group's claim of 4.71 hours is outside the 99%
confidence interval.
Explanation
Check
2021 McGraw-HilI Education. All Rights Reserved Terms of Use
Privacy I
MacBook Air
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F10
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Transcribed Image Text:(b) Based on your sample, graph the 99% confidence interval for the population mean of the surgery durations for all brain tumor 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 4.71 hours. 99% confidence interval: 0.00 10.00 5.00 0.00 2.00 4.00 6.00 8.00 10.00 (c) Does the 99% confidence interval you constructed contradict the medical group's daim? Choose the best answer from the choices below. O No, the confidence interval does not contradict the claim. The medical group's claim of 4.71 hours is inside the 99% confidence interval. O No, the confidence interval does not contradict the claim. The medical group's claim of 4.71 hours is outside the 99% confidence interval. O Yes, the confidence interval contradicts the claim. The medical group's claim of 4.71 hours is inside the 99% confidence interval. O Yes, the confidence interval contradicts the claim. The medical group's claim of 4.71 hours is outside the 99% confidence interval. Explanation Check 2021 McGraw-HilI Education. All Rights Reserved Terms of Use Privacy I MacBook Air F1 FS F10 2$ & 2 3 4 5 6. 7 8 9 Q W E Y S F G J K C V M command commane V
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