You may need to use the appropriate appendix table or technology to answer this question. The average cost to attend a particular university is $76,651. Assume the population standard deviation is $7,900. Suppose that a random sample of 60 students will be taken from this population. (a) What is the value of the standard error of the mean (in dollars)? (Round your answer to one decimal place.) $ (b) What is the probability that the sample mean will be more than $76,651? (c) What is the probability that the sample mean will be within $1,000 of the population mean? (Round your answer to four decimal places.) (d) How would the probability in part (c) change if the sample size were increased to 100? (Round your answer to four decimal places.)

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
You may need to use the appropriate appendix table or technology to answer this question.
The average cost to attend a particular university is $76,651. Assume the population standard deviation is $7,900. Suppose that a random sample of 60 students will be taken from this population.
(a) What is the value of the standard error of the mean (in dollars)? (Round your answer to one decimal place.)
$
(b) What is the probability that the sample mean will be more than $76,651?
(c) What is the probability that the sample mean will be within $1,000 of the population mean? (Round your answer to four decimal places.)
(d) How would the probability in part (c) change if the sample size were increased to 100? (Round your answer to four decimal places.)
Transcribed Image Text:You may need to use the appropriate appendix table or technology to answer this question. The average cost to attend a particular university is $76,651. Assume the population standard deviation is $7,900. Suppose that a random sample of 60 students will be taken from this population. (a) What is the value of the standard error of the mean (in dollars)? (Round your answer to one decimal place.) $ (b) What is the probability that the sample mean will be more than $76,651? (c) What is the probability that the sample mean will be within $1,000 of the population mean? (Round your answer to four decimal places.) (d) How would the probability in part (c) change if the sample size were increased to 100? (Round your answer to four decimal places.)
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps with 5 images

Blurred answer
Similar questions
  • SEE MORE QUESTIONS
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