1- Suppose the annual maximum stream flow of a given river has been observed for 10 years yielding the following statistics: Sample mean: 105 m³\h Sample variance: 9x10³ (m³\h)² (a) Establish the two-sided 90% confidence interval on the mean annual maximum stream flow. Assume a normal population. (b) If the desired to estimate the mean annual maximum stream flow to within +30000 m³/h with 90% confidence, how many additional years of observation will be required? Assume the sample variance based on the new set of data will be approximately 9x10³ (m³\h)².

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
1- Suppose the annual maximum stream flow of a given river has been observed for 10
years yielding the following statistics:
Sample mean: 106 m³/h
Sample variance: 9x108 (m³\h)²
(a) Establish the two-sided 90% confidence interval on the mean annual maximum
stream flow. Assume a normal population.
(b) If the desired to estimate the mean annual maximum stream flow to within
+30000 m³\h with 90% confidence, how many additional years of observation will
be required? Assume the sample variance based on the new set of data will be
approximately 9x108 (m³\h)².
Transcribed Image Text:1- Suppose the annual maximum stream flow of a given river has been observed for 10 years yielding the following statistics: Sample mean: 106 m³/h Sample variance: 9x108 (m³\h)² (a) Establish the two-sided 90% confidence interval on the mean annual maximum stream flow. Assume a normal population. (b) If the desired to estimate the mean annual maximum stream flow to within +30000 m³\h with 90% confidence, how many additional years of observation will be required? Assume the sample variance based on the new set of data will be approximately 9x108 (m³\h)².
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 6 steps with 37 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