Homework Help is Here – Start Your Trial Now!
Math
Statistics
andom sample of 45 people, the mean body mass index (BMI) was 27.4 and the standard deviation was 6.13. distribution should be used to construct the confidence interval? Choose the correct answer below. Use a t-distribution because the sample is random, the population is normal, and a is unknown. Use a normal distribution because the sample is random, the population is normal, and o is known. Use a t-distribution because the sample is random, n2 30, and a is unknown. Use a normal distribution because the sample is random, n2 30, and a is known. 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 no normal. t the correct choice below and, if necessary. fil in any answer boxes to complete your choice. The 95% confidence interval is (25.56. 29.24). (Round to two decimal places as needed.) Neither distribution can be used to construct the confidence interval. ret the results. Choose the correct answer below. With 95% confidence, it can be said that the population mean BMI is between the bounds of the confidence interval. It can be said that 95% of people have a BMI between the bounds of the confidence interval. If a large sample of people are taken approximately 95% of them will have a BMI between the bounds of the confidence interval. Neither distribution can be used to construct the confidence interval. n me col thie ar ll Vieu an example Get more belp

andom sample of 45 people, the mean body mass index (BMI) was 27.4 and the standard deviation was 6.13. distribution should be used to construct the confidence interval? Choose the correct answer below. Use a t-distribution because the sample is random, the population is normal, and a is unknown. Use a normal distribution because the sample is random, the population is normal, and o is known. Use a t-distribution because the sample is random, n2 30, and a is unknown. Use a normal distribution because the sample is random, n2 30, and a is known. 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 no normal. t the correct choice below and, if necessary. fil in any answer boxes to complete your choice. The 95% confidence interval is (25.56. 29.24). (Round to two decimal places as needed.) Neither distribution can be used to construct the confidence interval. ret the results. Choose the correct answer below. With 95% confidence, it can be said that the population mean BMI is between the bounds of the confidence interval. It can be said that 95% of people have a BMI between the bounds of the confidence interval. If a large sample of people are taken approximately 95% of them will have a BMI between the bounds of the confidence interval. Neither distribution can be used to construct the confidence interval. n me col thie ar ll Vieu an example Get more belp

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
See similar textbooks
icon
Related questions
Question
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 27.4 and the standard deviation was 6.13. **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 σ is unknown. O B. Use a normal distribution because the sample is random, the population is normal, and σ is known. O C. Use a t-distribution because the sample is random, n ≥ 30, and σ is unknown. X D. Use a normal distribution because the sample is random, n ≥ 30, and σ 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 95% confidence interval is (25.56, 29.24). (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. With 95% confidence, it can be said that the population mean BMI is between the bounds of the confidence interval. O B. It can be said that 95% of people have a BMI between the bounds of the confidence interval. X C. If a large sample of people are taken, approximately 95% of them will have a BMI between the bounds of the confidence interval. O D. Neither distribution can be used to construct the confidence interval. **Explanation:** - The sample size is 45, which is greater than 30, and the population standard deviation (σ) is unknown. Therefore, the t-distribution should be used to construct the confidence interval. - A 95% confidence interval was calculated as (25.56, 29.24), indicating that with 95% confidence, the population mean BMI lies within this interval.
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 27.4 and the standard deviation was 6.13. **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 σ is unknown. O B. Use a normal distribution because the sample is random, the population is normal, and σ is known. O C. Use a t-distribution because the sample is random, n ≥ 30, and σ is unknown. X D. Use a normal distribution because the sample is random, n ≥ 30, and σ 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 95% confidence interval is (25.56, 29.24). (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. With 95% confidence, it can be said that the population mean BMI is between the bounds of the confidence interval. O B. It can be said that 95% of people have a BMI between the bounds of the confidence interval. X C. If a large sample of people are taken, approximately 95% of them will have a BMI between the bounds of the confidence interval. O D. Neither distribution can be used to construct the confidence interval. **Explanation:** - The sample size is 45, which is greater than 30, and the population standard deviation (σ) is unknown. Therefore, the t-distribution should be used to construct the confidence interval. - A 95% confidence interval was calculated as (25.56, 29.24), indicating that with 95% confidence, the population mean BMI lies within this interval.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 2 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman
SEE MORE TEXTBOOKS