One-Sample z-test with known varia Test of Ho : u = 99 vs. H1 : µ > 99 Assumed standard deviation o = 2 Significance level a = 0.05 %3D n = 16
One-Sample z-test with known varia Test of Ho : u = 99 vs. H1 : µ > 99 Assumed standard deviation o = 2 Significance level a = 0.05 %3D n = 16
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question
![Consider the hypothesis testing output below.
One-Sample z-test with known variance:
Test of Ho : e
99 vs. H1 : µ > 99
Assumed standard deviation o = 2
Significance level a =
= 0.05
- 16
Sample mean: 7 = 99.72
Sample standard deviation: s =
n =
2.365
Test Statistic zo =
= 1.44
P-value = 0.075
%3|
(1) What conclusions would you draw?
(2) Construct a 95% lower bound on the mean.
(3) If the hypothesis had been Ho : µ = 98 versus H1 : µ > 98, would you reject the null
hypothesis at the 0.05 level of significance? Can you answer this without referring
to the normal table?
(4) What would the P-value be if the alternative hypothesis is H1 : µ # 99?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fc06c0cac-2e9c-4d45-9a45-e5decd8c209b%2F2f0a4917-08f4-4df4-8630-84bda2197f2f%2F85mm047_processed.png&w=3840&q=75)
Transcribed Image Text:Consider the hypothesis testing output below.
One-Sample z-test with known variance:
Test of Ho : e
99 vs. H1 : µ > 99
Assumed standard deviation o = 2
Significance level a =
= 0.05
- 16
Sample mean: 7 = 99.72
Sample standard deviation: s =
n =
2.365
Test Statistic zo =
= 1.44
P-value = 0.075
%3|
(1) What conclusions would you draw?
(2) Construct a 95% lower bound on the mean.
(3) If the hypothesis had been Ho : µ = 98 versus H1 : µ > 98, would you reject the null
hypothesis at the 0.05 level of significance? Can you answer this without referring
to the normal table?
(4) What would the P-value be if the alternative hypothesis is H1 : µ # 99?
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