​If, in a sample of n=16 selected from a normal​ population, X=59 and S=8​, what is your statistical decision if the level of​ significance, α​, is 0.10​, the null​ hypothesis, H0​, is μ=50, and the alternative​ hypothesis, H1, is μ≠50?   Determine the critical​ value(s).   The critical​ value(s) is(are)   ​(Round to four decimal places as needed. Use a comma to separate answers as​ needed.) Determine the test​ statistic, tSTAT.   tSTAT= ​(Round to four decimal places as​ needed.)     State your statistical decision. Choose the correct answer below.     A. The test rejects the null hypothesis. The data does not provide sufficient evidence to conclude that the mean differs from μ=50.   B. The test does not reject the null hypothesis. The data provide sufficient evidence to conclude that the mean differs from μ=50.   C. The test rejects the null hypothesis. The data provide sufficient evidence to conclude that the mean differs from μ=50.   D. The test does not reject the null hypothesis. The data does not provide sufficient evidence to conclude that the mean differs from μ=50.

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
​If, in a sample of
n=16
selected from a normal​ population,
X=59
and
S=8​,
what is your statistical decision if the level of​ significance,
α​,
is
0.10​,
the null​ hypothesis,
H0​,
is
μ=50,
and the alternative​ hypothesis,
H1,
is μ≠50?
 
Determine the critical​ value(s).
 
The critical​ value(s) is(are)
 
​(Round to four decimal places as needed. Use a comma to separate answers as​ needed.)
Determine the test​ statistic,
tSTAT.
 
tSTAT=
​(Round to four decimal places as​ needed.)
 
 
State your statistical decision. Choose the correct answer below.
 
 
A.
The test
rejects
the null hypothesis. The data
does not provide
sufficient evidence to conclude that the mean differs from
μ=50.
 
B.
The test
does not reject
the null hypothesis. The data
provide
sufficient evidence to conclude that the mean differs from
μ=50.
 
C.
The test
rejects
the null hypothesis. The data
provide
sufficient evidence to conclude that the mean differs from
μ=50.
 
D.
The test
does not reject
the null hypothesis. The data
does not provide
sufficient evidence to conclude that the mean differs from
μ=50.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 8 images

Blurred answer
Knowledge Booster
Statistical Power and Errors
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