The weights of four randomly and independently selected bags of potatoes labeled 20.0 pounds were found to be 20.9​, 21.5​, 20.5​, and 21.2 pounds. Assume Normality. Answer parts​ (a) and​ (b) below. a. Find a​ 95% confidence interval for the mean weight of all bags of potatoes.  ​(Type integers or decimals rounded to the nearest hundredth as needed. Use ascending​ order.) b. b. Does the interval capture 20.0 ​pounds? Is there enough evidence to reject a mean weight of 20.0 ​pounds?

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

The weights of four randomly and independently selected bags of potatoes labeled 20.0 pounds were found to be 20.9​, 21.5​, 20.5​, and 21.2 pounds. Assume Normality. Answer parts​ (a) and​ (b) below.

a. Find a​ 95% confidence interval for the mean weight of all bags of potatoes.  ​(Type integers or decimals rounded to the nearest hundredth as needed. Use ascending​ order.)

b. b. Does the interval capture 20.0 ​pounds? Is there enough evidence to reject a mean weight of 20.0 ​pounds?

The weights of four randomly and independently selected bags of potatoes labeled 20.0 pounds were found to be 20.9, 21.5, 20.5, and 21.2 pounds. O Assume Normality. Answer parts (a) and (b) below.
a. Find a 95% confidence interval for the mean weight of all bags of potatoes.
OD
(Type integers or decimals rounded to the nearest hundredth as needed. Use ascending order.)
b. Does the interval capture 20.0 pounds? Is there enough evidence to reject a mean weight of 20.0 pounds?
O A. The interval captures 20.0 pounds, so there is enough evidence to reject a mean weight of 20.0 pounds. It is not plausible the population mean weight is 20.0 pounds.
O B. The interval does not capture 20.0 pounds, so there is enough evidence to reject a mean weight of 20.0 pounds. It is not plausible the population mean weight is 20.0 pounds.
O c. The interval captures 20.0 pounds, so there is not enough evidence to reject a mean weight of 20.0 pounds. It is plausible the population mean weight is 20.0 pounds.
O D. The interval does not capture 20.0 pounds, so there not is enough evidence to reject a mean weight of 20.0 pounds. It is plausible the population mean weight is 20.0 pounds.
O E. There is insufficient information to make a decision regarding the rejection of 20.0 pounds. The sample size of 4 bags is less than the required 25.
Transcribed Image Text:The weights of four randomly and independently selected bags of potatoes labeled 20.0 pounds were found to be 20.9, 21.5, 20.5, and 21.2 pounds. O Assume Normality. Answer parts (a) and (b) below. a. Find a 95% confidence interval for the mean weight of all bags of potatoes. OD (Type integers or decimals rounded to the nearest hundredth as needed. Use ascending order.) b. Does the interval capture 20.0 pounds? Is there enough evidence to reject a mean weight of 20.0 pounds? O A. The interval captures 20.0 pounds, so there is enough evidence to reject a mean weight of 20.0 pounds. It is not plausible the population mean weight is 20.0 pounds. O B. The interval does not capture 20.0 pounds, so there is enough evidence to reject a mean weight of 20.0 pounds. It is not plausible the population mean weight is 20.0 pounds. O c. The interval captures 20.0 pounds, so there is not enough evidence to reject a mean weight of 20.0 pounds. It is plausible the population mean weight is 20.0 pounds. O D. The interval does not capture 20.0 pounds, so there not is enough evidence to reject a mean weight of 20.0 pounds. It is plausible the population mean weight is 20.0 pounds. O E. There is insufficient information to make a decision regarding the rejection of 20.0 pounds. The sample size of 4 bags is less than the required 25.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 1 images

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