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, fil 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 935 12/5/2 60F 99+ O Type here to search
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, fil 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 935 12/5/2 60F 99+ O Type here to search
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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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.
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