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 be used, explain why. Interpret the results. In a random sample of 45 people, the mean body mass index (BMI) was 29.7 and the standard deviation was 6.14. 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, n ≥ 30, and σ is unknown. B. Use a t-distribution because the sample is random, the population is normal, and σ is unknown. C. Use a normal distribution because the sample is random, the population is normal, and σ is known. D. Use a normal distribution because the sample is random, n ≥ 30, and σ is known. E. 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. A. The 95% confidence interval is (,). (Round to two decimal places as needed.) B. Neither distribution can be used to construct the confidence interval.
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 be used, explain why. Interpret the results. In a random sample of 45 people, the mean body mass index (BMI) was 29.7 and the standard deviation was 6.14. 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, n ≥ 30, and σ is unknown. B. Use a t-distribution because the sample is random, the population is normal, and σ is unknown. C. Use a normal distribution because the sample is random, the population is normal, and σ is known. D. Use a normal distribution because the sample is random, n ≥ 30, and σ is known. E. 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. A. The 95% confidence interval is (,). (Round to two decimal places as needed.) B. Neither distribution can be used to construct the confidence interval.
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: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 be used, explain why. Interpret the results.
In a random sample of 45 people, the mean body mass index (BMI) was 29.7 and the standard deviation was
6.14.
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, n ≥ 30, and σ is unknown.
B. Use a t-distribution because the sample is random, the population is normal, and σ is unknown.
C. Use a normal distribution because the sample is random, the population is normal, and σ is known.
D. Use a normal distribution because the sample is random, n ≥ 30, and σ is known.
E. 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.
A. The 95% confidence interval is (,).
(Round to two decimal places as needed.)
B. Neither distribution can be used to construct the confidence interval.
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