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

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
icon
Related questions
Question
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
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
Expert Solution
steps

Step by step

Solved in 4 steps

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