A popular flashlight that uses two D-size batteries was selected, and several of the same models were purchased to test the "continuous-use life" of D batteries. As fresh batteries were installed, each flashlight was turned on and the time noted. When the flashlight no longer produced light, the time was again noted. The resulting "life" data from Rayovac batteries had a mean of 21.3 hours. Assume these values have a normal distribution with a standard deviation of 1.34 hours. (Give your answers correct to four decimal places.) (a) What is the probability that one randomly selected Rayovac battery will have a test life between 20.5 and 22.1 hours? (b) What is the probability that a randomly selected sample of 7 Rayovac batteries will have a mean test life between 20.5 and 22.1 hours? (c) What is the probability that a randomly selected sample of 18 Rayovac batteries will have a mean test life between 20.5 and 22.1 hours? (d) What is the probability that a randomly selected sample 62 Rayovac batteries will have a mean test life between 20.5 and 22.1 hours? (e) Describe the effect that the increase in sample size had on the answers for parts (b) - (d). O As sample size increased, the standard error increased, resulting in higher probabilities. O As sample size increased, the standard error increased, resulting in lower probabilities. O As sample size increased, the standard error decreased, resulting in higher probabilities. O As sample size increased, the standard error decreased, resulting in lower probabilities.
A popular flashlight that uses two D-size batteries was selected, and several of the same models were purchased to test the "continuous-use life" of D batteries. As fresh batteries were installed, each flashlight was turned on and the time noted. When the flashlight no longer produced light, the time was again noted. The resulting "life" data from Rayovac batteries had a mean of 21.3 hours. Assume these values have a normal distribution with a standard deviation of 1.34 hours. (Give your answers correct to four decimal places.) (a) What is the probability that one randomly selected Rayovac battery will have a test life between 20.5 and 22.1 hours? (b) What is the probability that a randomly selected sample of 7 Rayovac batteries will have a mean test life between 20.5 and 22.1 hours? (c) What is the probability that a randomly selected sample of 18 Rayovac batteries will have a mean test life between 20.5 and 22.1 hours? (d) What is the probability that a randomly selected sample 62 Rayovac batteries will have a mean test life between 20.5 and 22.1 hours? (e) Describe the effect that the increase in sample size had on the answers for parts (b) - (d). O As sample size increased, the standard error increased, resulting in higher probabilities. O As sample size increased, the standard error increased, resulting in lower probabilities. O As sample size increased, the standard error decreased, resulting in higher probabilities. O As sample size increased, the standard error decreased, resulting in lower probabilities.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question
100%
Transcribed Image Text:A popular flashlight that uses two D-size batteries was selected, and several of the same models were purchased to test the "continuous-use life" of D batteries. As fresh batteries
were installed, each flashlight was turned on and the time noted. When the flashlight no longer produced light, the time was again noted. The resulting "life" data from Rayovac
batteries had a mean of 21.3 hours. Assume these values have a normal distribution with a standard deviation of 1.34 hours. (Give your answers correct to four decimal places.)
(a) What is the probability that one randomly selected Rayovac battery will have a test life between 20.5 and 22.1 hours?
(b) What is the probability that a randomly selected sample of 7 Rayovac batteries will have a mean test life between 20.5 and 22.1 hours?
(c) What is the probability that a randomly selected sample of 18 Rayovac batteries will have a mean test life between 20.5 and 22.1 hours?
(d) What is the probability that a randomly selected sample of 62 Rayovac batteries will have a mean test life between 20.5 and 22.1 hours?
(e) Describe the effect that the increase in sample size had on the answers for parts (b) - (d).
O As sample size increased, the standard error increased, resulting in higher probabilities.
As sample size increased, the standard error increased, resulting in lower probabilities.
As sample size increased, the standard error decreased, resulting in higher probabilities.
As sample size increased, the standard error decreased, resulting in lower probabilities.
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 4 steps with 3 images
Knowledge Booster
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.Recommended textbooks for you
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
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
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
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
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
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
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman