Consider the following data on average daily yields of coke from coal in a coke oven plant: Class Boundaries Frequency 67.95 – 68.95 68.95 – 69.95 8 69.95 – 70.95 22 70.95 – 71.95 22 71.95 – 72.95 9 72.95 – 73.95 8 73.95 – 74.95 2 The mean and standard deviation for this population are estimated from the data to be 71.25 and 1.2775, respectively. a) Draw the frequency histogram for these grouped frequency data, and sketch a normal distribution, fitted to the data, superimposed on the histogram. b) Plot the grouped frequency data on normal propability paper or its computer equivalent. Draw the appropriate straight line to represent the normal distri- bution. Comment on the apparent fit or lack of fit between the data and the fitted normal distribution. c) Estimate the probability of average daily coke yields less than 70.95 using: (i) the grouped frequency data, (ii) the normal probability paper or its computer equivalent, (iii) tabulated values for the normal distribution.
Consider the following data on average daily yields of coke from coal in a coke oven plant: Class Boundaries Frequency 67.95 – 68.95 68.95 – 69.95 8 69.95 – 70.95 22 70.95 – 71.95 22 71.95 – 72.95 9 72.95 – 73.95 8 73.95 – 74.95 2 The mean and standard deviation for this population are estimated from the data to be 71.25 and 1.2775, respectively. a) Draw the frequency histogram for these grouped frequency data, and sketch a normal distribution, fitted to the data, superimposed on the histogram. b) Plot the grouped frequency data on normal propability paper or its computer equivalent. Draw the appropriate straight line to represent the normal distri- bution. Comment on the apparent fit or lack of fit between the data and the fitted normal distribution. c) Estimate the probability of average daily coke yields less than 70.95 using: (i) the grouped frequency data, (ii) the normal probability paper or its computer equivalent, (iii) tabulated values for the normal distribution.
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
Concept explainers
Inverse Normal Distribution
The method used for finding the corresponding z-critical value in a normal distribution using the known probability is said to be an inverse normal distribution. The inverse normal distribution is a continuous probability distribution with a family of two parameters.
Mean, Median, Mode
It is a descriptive summary of a data set. It can be defined by using some of the measures. The central tendencies do not provide information regarding individual data from the dataset. However, they give a summary of the data set. The central tendency or measure of central tendency is a central or typical value for a probability distribution.
Z-Scores
A z-score is a unit of measurement used in statistics to describe the position of a raw score in terms of its distance from the mean, measured with reference to standard deviation from the mean. Z-scores are useful in statistics because they allow comparison between two scores that belong to different normal distributions.
Topic Video
Question
Transcribed Image Text:Consider the following data on average daily yields of coke from coal in a coke
oven plant:
Class Boundaries
Frequency
67.95 – 68.95
68.95 – 69.95
8
69.95 - 70.95
22
70.95 – 71.95
22
71.95 - 72.95
9
72.95 – 73.95
8
73.95 – 74.95
2
The mean and standard deviation for this population are estimated from the
data to be 71.25 and 1.2775, respectively.
a) Draw the frequency histogram for these grouped frequency data, and sketch a
normal distribution, fitted to the data, superimposed on the histogram.
b) Plot the grouped frequency data on normal propability paper or its computer
equivalent. Draw the appropriate straight line to represent the normal distri-
bution. Comment on the apparent fit or lack of fit between the data and the
fitted normal distribution.
c) Estimate the probability of average daily coke yields less than 70.95 using:
(i) the grouped frequency data,
(ii) the normal probability paper or its computer equivalent,
(iii) tabulated values for the normal distribution.
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 2 steps with 5 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