Use a​ t-test to test the claim about the population mean μ

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
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9.

Use 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≥8000​;
α=0.01    
Sample​ statistics:
x=7700​,
s=420​,
n=21
 
 
 

Question content area bottom

Part 1
What are the null and alternative​ hypotheses?
 
 
A.
H0​:
μ≥8000
Ha​:
μ<8000
Your answer is correct.
 
B.
H0​:
μ≤8000
Ha​:
μ>8000
 
C.
H0​:
μ≠8000
Ha​:
μ=8000
 
D.
H0​:
μ=8000
Ha​:
μ≠8000
Part 2
What is the value of the standardized test​ statistic?
 
The standardized test statistic is
negative 3.27
 
−3.27.
​(Round to two decimal places as​ needed.)
Part 3
What is the​ P-value?
 
P=enter your response here
 
​(Round to three decimal places as​ needed.)
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