observed sample mean x¯ = 8.9 observed sample variance s2 = 25 μ0 = 10.5 σ02 =36 part a) find the observed test statistic for testing H0: σ2=σ02 versus H1: σ2≠σ02 part b) the p-value and significance at the 5% level part c) the confidence interval at 99%

observed sample mean x¯ = 8.9 observed sample variance s2 = 25 μ0 = 10.5 σ02 =36 part a) find the observed test statistic for testing H0: σ2=σ02 versus H1: σ2≠σ02 part b) the p-value and significance at the 5% level part c) the confidence interval at 99%

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Question

given:
n = 16
observed sample mean x¯ = 8.9
observed sample variance s² = 25
μ₀ = 10.5
σ₀²=36

part a) find the observed test statistic for testing H₀: σ²=σ₀² versus H₁: σ²≠σ₀²

part b) the p-value and significance at the 5% level

part c) the confidence interval at 99%

Suppose we now want to test Ho : o² = of versus H1 :o + o3.
Which of these test statistics should we use?
Select one:
O a.
X-Ho
Z
(n-1)S?
O b. W =
X-Ho
О с. Т%3

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