According to a Survey, households in the city X spend an average of $24 per week on their leisure activities. Suppose you are given a sample of 100 households and that the population variance is 36. a) What is the population standard deviation? What is the standard deviation of the sample average? b) What is the probability that the sample average spend more than $25? c) What is the probability that the sample average spend exactly $23?

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

Hi, can you please solve these Q's and show me how you got there? Please count them as 6 questions if necessary. 

Kind regards,

Morten Løvenskiold

According to a Survey, households in the city X spend an average of $24 per week on their
leisure
activities. Suppose you are given a sample of 100 households and that the population variance
is
36.
a) What is the population standard deviation? What is the standard deviation of the sample
average?
b) What is the probability that the sample average spend more than $25?
c) What is the probability that the sample average spend exactly $23?
d) What is the probability that the sample average spend between 23.5$ and 24.5$?
e) Suppose that the population standard deviation is unknown. If 8% of all sample means are
smaller than 20 and the population mean is still 24, what is the value of the standard deviation?
f) Suppose that the population mean is unknown. If 15% of all sample means are smaller than
24
and the population standard deviation is still as in question a), what is the value of the
population mean?
Transcribed Image Text:According to a Survey, households in the city X spend an average of $24 per week on their leisure activities. Suppose you are given a sample of 100 households and that the population variance is 36. a) What is the population standard deviation? What is the standard deviation of the sample average? b) What is the probability that the sample average spend more than $25? c) What is the probability that the sample average spend exactly $23? d) What is the probability that the sample average spend between 23.5$ and 24.5$? e) Suppose that the population standard deviation is unknown. If 8% of all sample means are smaller than 20 and the population mean is still 24, what is the value of the standard deviation? f) Suppose that the population mean is unknown. If 15% of all sample means are smaller than 24 and the population standard deviation is still as in question a), what is the value of the population mean?
Expert Solution
steps

Step by step

Solved in 4 steps

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