We find a new box that outputs numbers from a normal distribution X, but this time we do not know what either the expected value or the standard deviation is. This numbers are given with 4-digit accuracy: 16.8976 4.8728 18.5699 23.4441 17.4997 19.0779 17.4574 14.5035 15.8886 19.0164 11.3645 16.8926 13.7500 12.2102 15.0089 (a) Find a 95% confidence interval for the expected value of X. (b) Find a 95% confidence interval for the standard deviation of X. (c) Since each student gets different numbers, some students will get confidence intervals that do not contain the real expected value or the true standard deviation. About how many percent of submissions will get confidence intervals that miss expected value? On the standard deviation? On both?
We find a new box that outputs numbers from a normal distribution X, but this time we do not know what either the expected value or the standard deviation is. This numbers are given with 4-digit accuracy: 16.8976 4.8728 18.5699 23.4441 17.4997 19.0779 17.4574 14.5035 15.8886 19.0164 11.3645 16.8926 13.7500 12.2102 15.0089 (a) Find a 95% confidence interval for the expected value of X. (b) Find a 95% confidence interval for the standard deviation of X. (c) Since each student gets different numbers, some students will get confidence intervals that do not contain the real expected value or the true standard deviation. About how many percent of submissions will get confidence intervals that miss expected value? On the standard deviation? On both?
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
We find a new box that outputs numbers from a
we do not know what either the
This numbers are given with 4-digit accuracy:
16.8976
4.8728
18.5699
23.4441
17.4997
19.0779
17.4574
14.5035
15.8886
19.0164
11.3645
16.8926
13.7500
12.2102
15.0089
(a) Find a 95% confidence interval for the expected value of X.
(b) Find a 95% confidence interval for the standard deviation of X.
(c) Since each student gets different numbers, some students will get confidence intervals that do not contain the real expected value or the true standard deviation. About how many percent of submissions will get confidence intervals that miss expected value? On the standard deviation? On both?
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 4 steps
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