At a certain high school, the distribution of backpack weight is approximately normal with mean 19.7 pounds and standard deviation 3.1 pounds. A random sample of 5 backpacks will be selected, and the weight, in pounds, of each backpack will be recorded. For samples of size 5, which of the following is the best interpretation of P(ã > 22) × 0.05? A The probability that each of the 5 backpacks selected will have a weight above 22 pounds is approximately 0.05. B The probability that each of the 5 backpacks selected will have a weight above 19.7 pounds is approximately 0.05. C The probability that the population mean is greater than 22 pounds is approximately 0.05. For all samples of size 5, approximately 5% of the sample will have a probability greater than 22 pounds. E For all samples of size 5, the probability that the sample mean will be greater than 22 pounds is approximately 0.05.

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
At a certain high school, the distribution of backpack weight is approximately normal with mean 19.7 pounds and standard deviation 3.1 pounds. A random
sample of 5 backpacks will be selected, and the weight, in pounds, of each backpack will be recorded.
For samples of size 5, which of the following is the best interpretation of P(a > 22) - 0.05?
A
The probability that each of the 5 backpacks selected will have a weight above 22 pounds is approximately 0.05.
The probability that each of the 5 backpacks selected will have a weight above 19.7 pounds is approximately 0.05.
C
The probability that the population mean is greater than 22 pounds is approximately 0.05.
For all samples of size 5, approximately 5% of the sample will have a probability greater than 22 pounds.
E
For all samples of size 5, the probability that the sample mean will be greater than 22 pounds is approximately 0.05.
Transcribed Image Text:At a certain high school, the distribution of backpack weight is approximately normal with mean 19.7 pounds and standard deviation 3.1 pounds. A random sample of 5 backpacks will be selected, and the weight, in pounds, of each backpack will be recorded. For samples of size 5, which of the following is the best interpretation of P(a > 22) - 0.05? A The probability that each of the 5 backpacks selected will have a weight above 22 pounds is approximately 0.05. The probability that each of the 5 backpacks selected will have a weight above 19.7 pounds is approximately 0.05. C The probability that the population mean is greater than 22 pounds is approximately 0.05. For all samples of size 5, approximately 5% of the sample will have a probability greater than 22 pounds. E For all samples of size 5, the probability that the sample mean will be greater than 22 pounds is approximately 0.05.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps

Blurred answer
Knowledge Booster
Point Estimation, Limit Theorems, Approximations, and Bounds
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.
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