Stat 243-007 Fall 2017 In each part of problems 1 and 2, (i) write the probability in terms of X or X [for example, P(X≥100) or P(X <17)], (ii) draw the picture, and (iii) find the answer. 1. The performance ratings for a population of employees at a large factory are normally distributed with mean 53 and standard deviation 10. If one person is selected at random, what is the probability that his/her score is a) over 63? (i) (iii) b) between 35 and 63? (i) Name: Quiz 7 (ii) (iii)
Stat 243-007 Fall 2017 In each part of problems 1 and 2, (i) write the probability in terms of X or X [for example, P(X≥100) or P(X <17)], (ii) draw the picture, and (iii) find the answer. 1. The performance ratings for a population of employees at a large factory are normally distributed with mean 53 and standard deviation 10. If one person is selected at random, what is the probability that his/her score is a) over 63? (i) (iii) b) between 35 and 63? (i) Name: Quiz 7 (ii) (iii)
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%
i want to know the steps to answer the questions
these are the answers
Quiz 7:
1) μ=53, σ=10
a) ?(? > 63) ≈.1587
b) ?(35 < ? < 63) ≈.8054
2) ?(?̅ > 55) ≈.2119
3) 63.36
1) μ=53, σ=10
a) ?(? > 63) ≈.1587
b) ?(35 < ? < 63) ≈.8054
2) ?(?̅ > 55) ≈.2119
3) 63.36
![Stat 243-007
Fall 2017
In each part of problems 1 and 2, (i) write the probability in terms of X or X [for example, P(X ≥100) or
P(X <17)], (ii) draw the picture, and (iii) find the answer.
1. The performance ratings for a population of employees at a large factory are normally distributed with
mean 53 and standard deviation 10. If one person is selected at random, what is the probability that
his/her score is
over 63?
a)
(i)
(ii)
(iii)
b) between 35 and 63?
(i)
(ii)
Name:
Quiz 7
(iii)
2. Refer to problem #1. If 16 people are selected at random, what is the probability that their average
score is over 55?
(i)
(ii)
(iii)
3. Refer to problem #1. If you wish to give merit bonuses to the top 15% of the employees, what rating
should you use as your cutoff? (In other words, find the 85th percentile.)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F711770d4-c3c0-40f6-83f3-85e89f4f9326%2F3e6d70e1-b18b-4dfa-aab7-b3b15c0d7c4d%2F6fumfri_processed.png&w=3840&q=75)
Transcribed Image Text:Stat 243-007
Fall 2017
In each part of problems 1 and 2, (i) write the probability in terms of X or X [for example, P(X ≥100) or
P(X <17)], (ii) draw the picture, and (iii) find the answer.
1. The performance ratings for a population of employees at a large factory are normally distributed with
mean 53 and standard deviation 10. If one person is selected at random, what is the probability that
his/her score is
over 63?
a)
(i)
(ii)
(iii)
b) between 35 and 63?
(i)
(ii)
Name:
Quiz 7
(iii)
2. Refer to problem #1. If 16 people are selected at random, what is the probability that their average
score is over 55?
(i)
(ii)
(iii)
3. Refer to problem #1. If you wish to give merit bonuses to the top 15% of the employees, what rating
should you use as your cutoff? (In other words, find the 85th percentile.)
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 7 images

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