MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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Use the standard normal distribution or the t-distribution to construct a 99% 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 26.9 and the standard deviation was 6.06.
Which distribution should be used to construct the confidence interval? Choose the correct answer below.
O A. Use a t-distribution because the sample is random, the population is normal, and o is unknown
O B. Use a t-distribution because the sample is random, n2 30, and o is unknown.
O C. Use a normal distribution because the sample is random, n2 30, and o is known.
O D. Use a normal distribution because the sample is random, the population is normal, and o is known.
O 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.
O A. The 99% confidence interval is ( ).
(Round to two decimal places as needed.)
O B. Neither distribution can be used to construct the confidence interval.
Interpret the results. Choose the correct answer below.
O A. If a large sample of people are taken approximately 99% of them will have a BMI between the bounds of the confidence interval.
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Transcribed Image Text:Use the standard normal distribution or the t-distribution to construct a 99% 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 26.9 and the standard deviation was 6.06. Which distribution should be used to construct the confidence interval? Choose the correct answer below. O A. Use a t-distribution because the sample is random, the population is normal, and o is unknown O B. Use a t-distribution because the sample is random, n2 30, and o is unknown. O C. Use a normal distribution because the sample is random, n2 30, and o is known. O D. Use a normal distribution because the sample is random, the population is normal, and o is known. O 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. O A. The 99% confidence interval is ( ). (Round to two decimal places as needed.) O B. Neither distribution can be used to construct the confidence interval. Interpret the results. Choose the correct answer below. O A. If a large sample of people are taken approximately 99% of them will have a BMI between the bounds of the confidence interval. Ne Textbook Calculator 9:35 A 60°F A @ 12/5/2 99 Type here to search 10/05/17 Insert *+ F12 PrtSc F10 F11 FB F9 F7 F6 F5 F4 F3 Backspace Esc FI F2 & 23 7 8. 3 4. 5 25 U CO %24
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