Records indicate that the average weight of adult rainbow trout in Eagle Creek is 1.70 kgwith a standard deviation of0.38 kg.After years of marked oxygen depletion due to pollutants in the stream, a biologist wants to see if the standard deviation, o,of pesos has changed. The biologist measures the weights of 18 randomly selected adult rainbow trout from the stream and finds that the sample standard deviation is0.50 kg.Assume that the current weights of adult rainbow trout in the stream follow a normal distribution. Does the biologist have sufficient evidence to conclude that the population standard deviation, o, differs from0.38 kg?To answer, complete the parts below to perform a hypothesis test. Use the significance level of0.10. (a) Formulate the null hypothesish and the alternative hypothesish What would you use to perform the test? ho: 0 O 0<0 S OSO O

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
●
The value of the test statistic is given byx²
Chi-square distribution
Step 1: Enter the number of degrees
of freedom.
Step 2: Select one queue or two
queues.
A tail
two tails
Step 3: Enter the critical value(s).
(Round to 3 decimal places.
Step 4: Enter the test statistic.
(Round to 3 decimal places.
0.3 +
0.2 +
0.1+
(no 1)yes
0²
10
fifteen
twenty
25
30
35
Transcribed Image Text:● The value of the test statistic is given byx² Chi-square distribution Step 1: Enter the number of degrees of freedom. Step 2: Select one queue or two queues. A tail two tails Step 3: Enter the critical value(s). (Round to 3 decimal places. Step 4: Enter the test statistic. (Round to 3 decimal places. 0.3 + 0.2 + 0.1+ (no 1)yes 0² 10 fifteen twenty 25 30 35
Records indicate that the average weight of adult rainbow trout in Eagle Creek is1.70 kgwith a standard deviation of0.38 kg.After years of marked oxygen
depletion due to pollutants in the stream, a biologist wants to see if the standard deviation, o,of pesos has changed. The biologist measures the weights of 18
randomly selected adult rainbow trout from the stream and finds that the sample standard deviation is0.50 kg. Assume that the current weights of adult rainbow
trout in the stream follow a normal distribution.
Does the biologist have sufficient evidence to conclude that the population standard deviation, o,differs from0.38 kg?To answer, complete the parts below to
perform a hypothesis test. Use the significance level of0.10.
(a) Formulate the null hypothesish and the alternative hypothesish What would you use to perform the test?
1
ho:
0:
h
1:
0
●
O S
0<0
OSO
□<ロ
0=0 ☐#0
(b) Perform a chi-square test. This is information that will help you perform the test.
2
2
X0.95 is the value that delimits an area of0.05 in the left tail of the distribution, and%0.05 is the value that delimits an area of 0.05 in the right tail of
the distribution.
Transcribed Image Text:Records indicate that the average weight of adult rainbow trout in Eagle Creek is1.70 kgwith a standard deviation of0.38 kg.After years of marked oxygen depletion due to pollutants in the stream, a biologist wants to see if the standard deviation, o,of pesos has changed. The biologist measures the weights of 18 randomly selected adult rainbow trout from the stream and finds that the sample standard deviation is0.50 kg. Assume that the current weights of adult rainbow trout in the stream follow a normal distribution. Does the biologist have sufficient evidence to conclude that the population standard deviation, o,differs from0.38 kg?To answer, complete the parts below to perform a hypothesis test. Use the significance level of0.10. (a) Formulate the null hypothesish and the alternative hypothesish What would you use to perform the test? 1 ho: 0: h 1: 0 ● O S 0<0 OSO □<ロ 0=0 ☐#0 (b) Perform a chi-square test. This is information that will help you perform the test. 2 2 X0.95 is the value that delimits an area of0.05 in the left tail of the distribution, and%0.05 is the value that delimits an area of 0.05 in the right tail of the distribution.
Expert Solution
steps

Step by step

Solved in 4 steps with 16 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