Question

The time it takes a CPU to process a certain type of job is normally distributed with mean 25 seconds and standard deviation 2 seconds. If a sample of 16 such jobs is observed, what is the probability that the sample variance will exceed 4? The probability is: (A)0.4530 (B)0.4514 (C)0.9999 (D)0.5567

          The time it takes a CPU to process a certain type of job is normally distributed
with mean 25 seconds and standard deviation 2 seconds. If a sample of 16
such jobs is observed, what is the probability that the sample variance will
exceed 4?
The probability is:
(A)0.4530
(B)0.4514
(C)0.9999
(D)0.5567
        
Show more…
The time it takes a CPU to process a certain type of job is normally distributed
with mean 25 seconds and standard deviation 2 seconds. If a sample of 16
such jobs is observed, what is the probability that the sample variance will
exceed 4?
The probability is:
(A)0.4530
(B)0.4514
(C)0.9999
(D)0.5567

Added by Patty L.

Close

Elementary Statistics a Step by Step Approach
Elementary Statistics a Step by Step Approach
Allan G. Bluman 9th Edition
AceChat toggle button
Close icon
Ace pointing down

Please give Ace some feedback

Your feedback will help us improve your experience

Thumb up icon Thumb down icon
Thanks for your feedback!
Profile picture
Close icon
Play audio
Feedback
Powered by NumerAI
Ivan Kochetkov David Collins
Jennifer Stoner verified

Ivan Kochetkov and 86 other subject Intro Stats / AP Statistics educators are ready to help you.

Ask a new question

*

Labs

-

Want to see this concept in action?

NEW

Explore this concept interactively to see how it behaves as you change inputs.

View Labs

*

Key Concepts

-
Key Concept
Premium Feature
Explore the core concept behind this problem.
Play button
Key Concept
Premium Feature
Explore the core concept behind this problem.
Your browser does not support the video tag.

*

Recommended Videos

-
the-time-it-takes-a-control-processing-unit-to-process-a-certain-type-of-job-is-normally-distributed-with-mean-20-seconds-and-standard-deviation-3-seconds-if-a-sample-of-15-such-jobs-is-obse-57087

The time it takes a control processing unit to process a certain type of job is normally distributed with mean 20 seconds and standard deviation 3 seconds. If a sample of 15 such jobs is observed, what is the probability that the sample standard deviation in processing time will exceed 3.465 seconds?

Ana Carolina D.

the-time-that-it-takes-a-randomly-selected-job-applicant-to-perform-a-certain-task-has-a-distribution-that-can-be-approximated-by-a-normal-distribution-with-a-mean-of-120-seconds-and-a-stand-37692

The time that it takes a randomly selected job applicant to perform a certain task has a distribution that can be approximated by a Normal distribution with a mean of 120 seconds and a standard deviation of 20 seconds. The fastest 10% are to be given advanced training. (a) What task times qualify individuals for such training? (b) The probability of observing a task time that is less than 90 seconds would correspond to the probability that a Standard Normal random variable would be less than what number?

Marc L.

from-historical-data-you-know-that-the-time-it-takes-to-do-a-certain-job-is-normally-distributed-with-a-mean-of-130-minutes-and-a-standard-deviation-of-20-minutes-to-monitor-performance-each-43343

From historical data, you know that the time it takes to do a certain job is normally distributed with a mean of 130 minutes and a standard deviation of 20 minutes. To monitor performance, each week a sample of 25 jobs is selected, and the average time it takes to do the job is recorded. In a particular week, the average time to do the job was 128 minutes with a standard deviation of 16 minutes. The distribution of times in the sample comes out bell-shaped. What can you say, if anything, about each of the following intervals? a) 128 +/- 2 * 16 b) 130 +/- 2 * (20 / √25) c) 128 +/- 2 * (16 / √25) b) 128 +/- 2 * (20 / √25)

Thuc N.


*

Recommended Textbooks

-
Elementary Statistics a Step by Step Approach

Elementary Statistics a Step by Step Approach

Allan G. Bluman 9th Edition
achievement 1,820 solutions
The Practice of Statistics for AP

The Practice of Statistics for AP

Daren S. Starnes, Daniel S. Yates, David S. Moore 4th Edition
achievement 1,191 solutions
Introductory Statistics

Introductory Statistics

Barbara Illowsky, Susan Dean 1st Edition
achievement 1,126 solutions

*

Transcript

-
00:01 Hello, here mean of the normal distribution is 25 seconds, standard deviation is 2 seconds, sample of 15 is of 16 is selected, we have to find probability that the sample variance will be more than 4...
Need help? Use Ace
Ace is your personal tutor. It breaks down any question with clear steps so you can learn.
Start Using Ace
Ace is your personal tutor for learning
Step-by-step explanations
Instant summaries
Summarize YouTube videos
Understand textbook images or PDFs
Study tools like quizzes and flashcards
Listen to your notes as a podcast
Continue solving this problem
Create a free account to:
  • View full step-by-step solution
  • Ask follow-up questions with Ace AI
  • Save progress and study later
Continue Free
Numerade

Get step-by-step video solution
from top educators

Continue with Clever
or



By creating an account, you agree to the Terms of Service and Privacy Policy
Already have an account? Log In

A free answer
just for you

Watch the video solution with this free unlock.

Numerade

Log in to watch this video
...and 100,000,000 more!


EMAIL

PASSWORD

OR
Continue with Clever