Suppose a mutual fund qualifies as having moderate risk if the standard deviation of its monthly rate of return is less than 5%. A mutual-fund rating agency randomly selects 21 months and determines the rate of return for a certain fund. The standard deviation of the rate of return is computed to be 3.37%. Is there sufficient evidence to conclude that the fund has moderate risk at the a = 0.01 level of significance? A normal probability plot indicates that the monthly rates of return are normally distributed.

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
icon
Concept explainers
Question
Suppose a mutual fund qualifies as having moderate risk if the standard deviation of its monthly rate of return is less than 5%. A mutual-fund rating agency randomly
selects 21 months and determines the rate of return for a certain fund. The standard deviation of the rate of return is computed to be 3.37%. Is there sufficient evidence
to conclude that the fund has moderate risk at the a = 0.01 level of significance? A normal probability plot indicates that the monthly rates of return are normally
distributed.
What are the correct hypotheses for this test?
The null hypothesis is Ho:
0.0337.
>
The alternative hypothesis is H4:
0.0337.
Calculate the value of the test statistic.
0.05.
x² =
(Round to three decimal places as n
0.0337.
Use technology to determine the P-value for tie iosi diaidiu.
The P-value is
(Round to three decimal places as needed.)
What is the correct conclusion at the a = 0.01 level of significance?
Since the P-value is
than the level of significance,
the null hypothesis. There
sufficient evidence to conclude that the fund has
moderate risk at the 0.01 level of significance.
Transcribed Image Text:Suppose a mutual fund qualifies as having moderate risk if the standard deviation of its monthly rate of return is less than 5%. A mutual-fund rating agency randomly selects 21 months and determines the rate of return for a certain fund. The standard deviation of the rate of return is computed to be 3.37%. Is there sufficient evidence to conclude that the fund has moderate risk at the a = 0.01 level of significance? A normal probability plot indicates that the monthly rates of return are normally distributed. What are the correct hypotheses for this test? The null hypothesis is Ho: 0.0337. > The alternative hypothesis is H4: 0.0337. Calculate the value of the test statistic. 0.05. x² = (Round to three decimal places as n 0.0337. Use technology to determine the P-value for tie iosi diaidiu. The P-value is (Round to three decimal places as needed.) What is the correct conclusion at the a = 0.01 level of significance? Since the P-value is than the level of significance, the null hypothesis. There sufficient evidence to conclude that the fund has moderate risk at the 0.01 level of significance.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 1 images

Blurred answer
Knowledge Booster
Continuous Probability Distribution
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