Homework Help is Here – Start Your Trial Now!
Math
Statistics
Suppose Diane and Jack are each attempting to use a simulation to describe the sampling distribution from a population that is skewed right with mean 70 and standard deviation 5. Diane obtains 1000 random samples of size n = 3 from the population, finds the mean of the means, and determines the standard deviation of the means Jack does the same simulation, but obtains 1000 random samples of size n = 40 from the population. Complete parts (a) through (c).

Suppose Diane and Jack are each attempting to use a simulation to describe the sampling distribution from a population that is skewed right with mean 70 and standard deviation 5. Diane obtains 1000 random samples of size n = 3 from the population, finds the mean of the means, and determines the standard deviation of the means Jack does the same simulation, but obtains 1000 random samples of size n = 40 from the population. Complete parts (a) through (c).

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
See similar textbooks
icon
Related questions
Question

Solve for c

Suppose Diane and Jack are each attempting to use a simulation to describe the sampling distribution from a population that is skewed right with mean 70 and standard deviation 5. Diane obtains 1000 random samples of size n = 3 from the population, finds the mean of the means, and determines the standard deviation of the means. Jack does the same simulation, but obtains 1000 random samples of size n = 40 from the population. Complete parts (a) through (c) 861 (a) Describe the shape you expect for Diane's distribution of sample means. Describe the shape you expect for Jack's distribution of sample means. Choose the correct answer below A. Jack's distribution is expected to be skewed right, but less skewed than the original distribution. Diane's distribution is expected to be approximately normal B. Diane's distribution is expected to be skewed right, but less skewed than the original distribution. Jack's distribution is expected to be approximately normal C. Diane's distribution and Jack's distribution are expected to be approximately normal. However, Diane's will have the smaller standard deviation of the sample mean- OD. Diane's distribution and Jack's distribution are expected to be approximately normal. However, Diane's will have the greater standard deviation of the sample mean (b) What do you expect the mean of Diane's distribution to be? What do you expect the mean of Jack's distribution to be? Diane's distribution is expected to have a mean of 70 Jack's distribution is expected to have a mean of 70 (Type integers or decimals rounded to two decimal places as needed) (c) What do you expect the standard deviation of Diane's distribution to be? What do you expect the standard deviation of Jack's distribution to be? Diane's distribution is expected to have a standard deviation of Jack's distribution is expected to have a standard deviation of (Type integers or decimals rounded to two decimal places as needed)
Transcribed Image Text:Suppose Diane and Jack are each attempting to use a simulation to describe the sampling distribution from a population that is skewed right with mean 70 and standard deviation 5. Diane obtains 1000 random samples of size n = 3 from the population, finds the mean of the means, and determines the standard deviation of the means. Jack does the same simulation, but obtains 1000 random samples of size n = 40 from the population. Complete parts (a) through (c) 861 (a) Describe the shape you expect for Diane's distribution of sample means. Describe the shape you expect for Jack's distribution of sample means. Choose the correct answer below A. Jack's distribution is expected to be skewed right, but less skewed than the original distribution. Diane's distribution is expected to be approximately normal B. Diane's distribution is expected to be skewed right, but less skewed than the original distribution. Jack's distribution is expected to be approximately normal C. Diane's distribution and Jack's distribution are expected to be approximately normal. However, Diane's will have the smaller standard deviation of the sample mean- OD. Diane's distribution and Jack's distribution are expected to be approximately normal. However, Diane's will have the greater standard deviation of the sample mean (b) What do you expect the mean of Diane's distribution to be? What do you expect the mean of Jack's distribution to be? Diane's distribution is expected to have a mean of 70 Jack's distribution is expected to have a mean of 70 (Type integers or decimals rounded to two decimal places as needed) (c) What do you expect the standard deviation of Diane's distribution to be? What do you expect the standard deviation of Jack's distribution to be? Diane's distribution is expected to have a standard deviation of Jack's distribution is expected to have a standard deviation of (Type integers or decimals rounded to two decimal places as needed)
Expert Solution
steps

Step by step

Solved in 3 steps with 3 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
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
SEE MORE TEXTBOOKS