A magazine reported that at the top 50 business schools in a​ region, students studied an average of 14.4 hours. Set up a hypothesis test to try to prove that the mean number of hours studied at your school is different from the reported 14.4 hour benchmark. Complete parts​ (a) through​ (c) below.       Question content area bottom Part 1 a. State the null and alternative hypotheses. Choose the correct answer below.     A. H0​: μ=14.4 H1​: X≠14.4     B. H0​: α≠14.4 H1​: α=14.4     C. H0​: α≠14.4 H1​: β=14.4     D. H0​: β=14.4 H1​: β≠14.4     E. H0​: μ≠14.4 H1​: X=14.4     F. H0​: μ=14.4 H1​: μ≠14.4     G. H0​: α=14.4 H1​: β≠14.4     H. H0​: β≠14.4 H1​: β=14.4     I. H0​: X≠14.4 H1​: X=14.4     J. H0​: α=14.4 H1​: α≠14.4     K. H0​: μ≠14.4 H1​: μ=14.4     L. H0​: X=14.4 H1​: X≠14.4   Part 2 b. What is a Type I error for your​ test?     A. Concluding that the mean number of hours studied at your school is different from the reported 14.4 hour benchmark when in fact it is different   B. Concluding that the mean number of hours studied at your school is different from the reported 14.4 hour benchmark when in fact it is not different   C. Concluding that the mean number of hours studied at your school is not different from the reported 14.4 hour benchmark when in fact it is different Part 3 c. What is a Type II error for your​ test?     A. Concluding that the mean number of hours studied at your school is different from the reported 14.4 hour benchmark when in fact it is not B. Concluding that the mean number of hours studied at your school is not different from the reported 14.4 hour benchmark when in fact it is different   C. Concluding that the mean number of hours studied at your school is not different from the reported 14.4 hour benchmark when in fact it is not different

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
A magazine reported that at the top 50 business schools in a​ region, students studied an average of
14.4
hours. Set up a hypothesis test to try to prove that the mean number of hours studied at your school is different from the reported
14.4
hour benchmark. Complete parts​ (a) through​ (c) below.
 
 
 

Question content area bottom

Part 1
a. State the null and alternative hypotheses. Choose the correct answer below.
 
 
A.
H0​:
μ=14.4
H1​:
X≠14.4
 
 
B.
H0​:
α≠14.4
H1​:
α=14.4
 
 
C.
H0​:
α≠14.4
H1​:
β=14.4
 
 
D.
H0​:
β=14.4
H1​:
β≠14.4
 
 
E.
H0​:
μ≠14.4
H1​:
X=14.4
 
 
F.
H0​:
μ=14.4
H1​:
μ≠14.4
 
 
G.
H0​:
α=14.4
H1​:
β≠14.4
 
 
H.
H0​:
β≠14.4
H1​:
β=14.4
 
 
I.
H0​:
X≠14.4
H1​:
X=14.4
 
 
J.
H0​:
α=14.4
H1​:
α≠14.4
 
 
K.
H0​:
μ≠14.4
H1​:
μ=14.4
 
 
L.
H0​:
X=14.4
H1​:
X≠14.4
 
Part 2
b. What is a Type I error for your​ test?
 
 
A.
Concluding that the mean number of hours studied at your school
is different
from the reported
14.4
hour benchmark when in fact it
is different
 
B.
Concluding that the mean number of hours studied at your school is different from the reported
14.4
hour benchmark when in fact it is not different
 
C.
Concluding that the mean number of hours studied at your school is not different from the reported
14.4
hour benchmark when in fact it is different
Part 3
c. What is a Type II error for your​ test?
 
 
A.
Concluding that the mean number of hours studied at your school is different from the reported
14.4
hour benchmark when in fact it is not
B.
Concluding that the mean number of hours studied at your school is not different from the reported
14.4
hour benchmark when in fact it is different
 
C.
Concluding that the mean number of hours studied at your school
is not different
from the reported
14.4
hour benchmark when in fact it
is not different
 
 
Expert Solution
steps

Step by step

Solved in 4 steps

Blurred answer
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