.  Use technology and a​ t-test to test the claim about the population mean μ at the given level of significance α using the given sample statistics. Assume the population is normally distributed.   ​Claim: μ>76​; α=0.01     Sample​ statistics: x=76.6​, s=3.5​, n=29       Question content area bottom Part 1 What are the null and alternative​ hypotheses? Choose the correct answer below.     A. H0​: μ≥76 HA​: μ<76   B. H0​: μ≤76 HA​: μ>76 Your answer is correct.   C. H0​: μ=76 HA​: μ≠76   D. H0​: μ≠76 HA​: μ=76 Part 2 What is the value of the standardized test​ statistic?   The standardized test statistic is 0.92   0.92. ​(Round to two decimal places as​ needed.) Part 3 What is the​ P-value of the test​ statistic?   ​P-value=enter your response here   ​(Round to three decimal places as​ needed.)

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

8. 

Use technology and a​ t-test to test the claim about the population mean
μ
at the given level of significance
α
using the given sample statistics. Assume the population is normally distributed.
 
​Claim:
μ>76​;
α=0.01    
Sample​ statistics:
x=76.6​,
s=3.5​,
n=29
 
 
 

Question content area bottom

Part 1
What are the null and alternative​ hypotheses? Choose the correct answer below.
 
 
A.
H0​:
μ≥76
HA​:
μ<76
 
B.
H0​:
μ≤76
HA​:
μ>76
Your answer is correct.
 
C.
H0​:
μ=76
HA​:
μ≠76
 
D.
H0​:
μ≠76
HA​:
μ=76
Part 2
What is the value of the standardized test​ statistic?
 
The standardized test statistic is
0.92
 
0.92.
​(Round to two decimal places as​ needed.)
Part 3
What is the​ P-value of the test​ statistic?
 
​P-value=enter your response here
 
​(Round to three decimal places as​ needed.)
 
Expert Solution
steps

Step by step

Solved in 2 steps with 1 images

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