one year, 12 samples (one in each month) are selected from each lake. The PH mean and standard deviation of lake 1 sample were found to be 6.5 and 0.2, while the PH mean and standard deviation of lake 2 sample were found to be 7.2 and 0.1. (a) Find a 90% confidence interval for H1 – H2 (i.e., the difference between the population means for the two lakes) assuming that the populations are approximately normally distributed with equal variances. (b) You decide to change the above significance level from 0.1 to 0.05. Everything else is kept similar to above. Explain how your calculated confidence interval will change, and why? (i.e., will it become wider or narrower). (No need to calculate the new confidence interval) ( ;

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
To study the water PH level, two independent lakes were selected for sampling. In a duration of
one year, 12 samples (one in each month) are selected from each lake. The PH mean and standard
deviation of lake 1 sample were found to be 6.5 and 0.2, while the PH mean and standard deviation
of lake 2 sample were found to be 7.2 and 0.1.
(a) Find a 90% confidence interval for µ1 – µ2 (i.e., the difference between the population means
for the two lakes) assuming that the populations are approximately normally distributed with equal
variances.
(b) You decide to change the above significance level from 0.1 to 0.05. Everything else is kept
similar to above. Explain how your calculated confidence interval will change, and why? (i.e., will
it become wider or narrower). (No need to calculate the new confidence interval) (- :
Transcribed Image Text:To study the water PH level, two independent lakes were selected for sampling. In a duration of one year, 12 samples (one in each month) are selected from each lake. The PH mean and standard deviation of lake 1 sample were found to be 6.5 and 0.2, while the PH mean and standard deviation of lake 2 sample were found to be 7.2 and 0.1. (a) Find a 90% confidence interval for µ1 – µ2 (i.e., the difference between the population means for the two lakes) assuming that the populations are approximately normally distributed with equal variances. (b) You decide to change the above significance level from 0.1 to 0.05. Everything else is kept similar to above. Explain how your calculated confidence interval will change, and why? (i.e., will it become wider or narrower). (No need to calculate the new confidence interval) (- :
Expert Solution
steps

Step by step

Solved in 2 steps

Blurred answer
Similar 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