Use technology to help you 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≤1210​; α=0.04​; σ=204.82. Sample​ statistics: x=1235.97​, n=250       Identify the null and alternative hypotheses. Choose the correct answer below.     A. H0​: μ>1235.97 Ha​: μ≤1235.97   B. H0​: μ≥1235.97 Ha​: μ<1235.97   C. H0​: μ≤1235.97 Ha​: μ>1235.97   D. H0​: μ≥1210 Ha​: μ<1210   E. H0​: μ>1210 Ha​: μ≤1210   F. H0​: μ≤1210 Ha​: μ>1210 Calculate the standardized test statistic.   The standardized test statistic is ____. ​(Round to two decimal places as​ needed.) Determine the​ P-value.   P=___ ​(Round to three decimal places as​ needed.) Determine the outcome and conclusion of the test.

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
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Use technology to help you 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≤1210​;
α=0.04​;
σ=204.82.
Sample​ statistics:
x=1235.97​,
n=250
 
 
 
Identify the null and alternative hypotheses. Choose the correct answer below.
 
 
A.
H0​:
μ>1235.97
Ha​:
μ≤1235.97
 
B.
H0​:
μ≥1235.97
Ha​:
μ<1235.97
 
C.
H0​:
μ≤1235.97
Ha​:
μ>1235.97
 
D.
H0​:
μ≥1210
Ha​:
μ<1210
 
E.
H0​:
μ>1210
Ha​:
μ≤1210
 
F.
H0​:
μ≤1210
Ha​:
μ>1210
Calculate the standardized test statistic.
 
The standardized test statistic is
____.
​(Round to two decimal places as​ needed.)
Determine the​ P-value.
 
P=___
​(Round to three decimal places as​ needed.)
Determine the outcome and conclusion of the test.
Expert Solution
Step 1

Given data; ​

Claim μ≤1210​;
α=0.04​;
 
x=1235.97​,
n=250

 

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