6.2 Question 17 of 17 This quiz: 17 point(s) possible This question: 1 point(s) possible Submit quiz be used, explain why. Interpret the results. Use the standard normal distribution or the t-distribution to construct a 95% confidence interval for the population mean. Justify your decision. If neither distribution can In a random sample of 50 people, the mean body mass index (BMI) was 27.6 and the standard deviation was 6.12. Which distribution should be used to construct the confidence interval? Choose the correct answer below. A. Use a t-distribution because the sample is random, the population is normal, and σ is unknown. OB. Use a normal distribution because the sample is random, n ≥ 30, and σ is known. OC. Use a normal distribution because the sample is random, the population is normal, and σ is known. OD. Use a t-distribution because the sample is random, n ≥ 30, and σ is unknown. OE. Neither a normal distribution nor a t-distribution can be used because either the sample is not random, or n <30, and the population is not known to be normal. Select the correct choice below and, if necessary, fill in any answer boxes to complete your choice. OA. The 95% confidence interval is ( (Round to two decimal places as needed) OB. Neither distribution can be used to construct the confidence interval. F3 ** Q Search F5 正 FA $ % 5 S4 #3 E 0+ F6 CO 6 F7 小 F8 F9 & * ( 7 8 9 H V B N M F11 F12 DOD F10 K O E S Delete Insert Prisc +11 P { } [ ? 11 Submit quiz ६०३ W/A 4:52 PM Et 3/18/2024 Backspace Num Lock 7 Home Enter PRED 00 8 * LO 4 144 9 PgUp 2 Shift End PgUp Alt Ctrl → Home PgDn End

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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6.2
Question 17 of 17
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be used, explain why. Interpret the results.
Use the standard normal distribution or the t-distribution to construct a 95% confidence interval for the population mean. Justify your decision. If neither distribution can
In a random sample of 50 people, the mean body mass index (BMI) was 27.6 and the standard deviation was 6.12.
Which distribution should be used to construct the confidence interval? Choose the correct answer below.
A. Use a t-distribution because the sample is random, the population is normal, and σ is unknown.
OB. Use a normal distribution because the sample is random, n ≥ 30, and σ is known.
OC. Use a normal distribution because the sample is random, the population is normal, and σ is known.
OD. Use a t-distribution because the sample is random, n ≥ 30, and σ is unknown.
OE. Neither a normal distribution nor a t-distribution can be used because either the sample is not random, or n <30, and the population is not known to be normal.
Select the correct choice below and, if necessary, fill in any answer boxes to complete your choice.
OA. The 95% confidence interval is (
(Round to two decimal places as needed)
OB. Neither distribution can be used to construct the confidence interval.
F3
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६०३
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Et
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Backspace
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Transcribed Image Text:6.2 Question 17 of 17 This quiz: 17 point(s) possible This question: 1 point(s) possible Submit quiz be used, explain why. Interpret the results. Use the standard normal distribution or the t-distribution to construct a 95% confidence interval for the population mean. Justify your decision. If neither distribution can In a random sample of 50 people, the mean body mass index (BMI) was 27.6 and the standard deviation was 6.12. Which distribution should be used to construct the confidence interval? Choose the correct answer below. A. Use a t-distribution because the sample is random, the population is normal, and σ is unknown. OB. Use a normal distribution because the sample is random, n ≥ 30, and σ is known. OC. Use a normal distribution because the sample is random, the population is normal, and σ is known. OD. Use a t-distribution because the sample is random, n ≥ 30, and σ is unknown. OE. Neither a normal distribution nor a t-distribution can be used because either the sample is not random, or n <30, and the population is not known to be normal. Select the correct choice below and, if necessary, fill in any answer boxes to complete your choice. OA. The 95% confidence interval is ( (Round to two decimal places as needed) OB. Neither distribution can be used to construct the confidence interval. F3 ** Q Search F5 正 FA $ % 5 S4 #3 E 0+ F6 CO 6 F7 小 F8 F9 & * ( 7 8 9 H V B N M F11 F12 DOD F10 K O E S Delete Insert Prisc +11 P { } [ ? 11 Submit quiz ६०३ W/A 4:52 PM Et 3/18/2024 Backspace Num Lock 7 Home Enter PRED 00 8 * LO 4 144 9 PgUp 2 Shift End PgUp Alt Ctrl → Home PgDn End
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