3. Suppose that we want to compare the clarity of two lakes in North America. The clarity of Lake Tahoe was measured at 50 places and the average depth of clarity was 4 meters with a standard deviation of 0.25 meters. The clarity of Lake Michigan was measured at 55 places and the average depth of clarity was 3 meters with a standard deviation of 0.5 meters. Test the hypothesis at a 5% significant level that there is no difference in the mean depth of clarity.

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
3. Suppose that we want to compare the clarity of two lakes in North
America. The clarity of Lake Tahoe was measured at 50 places and the
average depth of clarity was 4 meters with a standard deviation of 0.25
meters. The clarity of Lake Michigan was measured at 55 places and the
average depth of clarity was 3 meters with a standard deviation of 0.5
meters. Test the hypothesis at a 5% significant level that there is no
difference in the mean depth of clarity.
Transcribed Image Text:3. Suppose that we want to compare the clarity of two lakes in North America. The clarity of Lake Tahoe was measured at 50 places and the average depth of clarity was 4 meters with a standard deviation of 0.25 meters. The clarity of Lake Michigan was measured at 55 places and the average depth of clarity was 3 meters with a standard deviation of 0.5 meters. Test the hypothesis at a 5% significant level that there is no difference in the mean depth of clarity.
If the number of eggs laid by
sparrows follows a normal distribution, test at a 5% level of significance if
the conservationist's claim is true.
6. A medical doctor claims that the proportion of female patients with high
blood-pressure is smaller than the proportion of male patients with high
blood-pressure. The doctor conducted a survey in his practice. Out of the
100 female patients only 13 had high blood-pressure and out of the 110
male patients, 33 had high blood-pressure. Test the doctor's claim at a 5%
level of significance. Assume that the population proportions are equal.
Transcribed Image Text:If the number of eggs laid by sparrows follows a normal distribution, test at a 5% level of significance if the conservationist's claim is true. 6. A medical doctor claims that the proportion of female patients with high blood-pressure is smaller than the proportion of male patients with high blood-pressure. The doctor conducted a survey in his practice. Out of the 100 female patients only 13 had high blood-pressure and out of the 110 male patients, 33 had high blood-pressure. Test the doctor's claim at a 5% level of significance. Assume that the population proportions are equal.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 4 steps

Blurred answer
Knowledge Booster
Hypothesis Tests and Confidence Intervals for Equality of Variances
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.
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