State the alternative hypothesis. a. Ha : σ^2 > 1.6 b. Ha : σ^2 < 1.6 c. Ha : σ^2 ≠ 1.6 2. Level of Significance. a. α = 0.1 b. α = 0.01 c. α = 0.05 d. α = 0.005 3. Critical Value/s and Rejection Region/s a. cv = 38.885 b. cv = 40.113 c. cv = 41.337
State the alternative hypothesis. a. Ha : σ^2 > 1.6 b. Ha : σ^2 < 1.6 c. Ha : σ^2 ≠ 1.6 2. Level of Significance. a. α = 0.1 b. α = 0.01 c. α = 0.05 d. α = 0.005 3. Critical Value/s and Rejection Region/s a. cv = 38.885 b. cv = 40.113 c. cv = 41.337
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
A researcher suggests that the variance of the ages of freshmen at a state university is greater than 1.6 as past studies have shown. A sample of 30 freshmen is selected, and the variance is found to be 2.3 years. At α=0.05, is the variation of the freshmen’s ages greater than 1.6?
1. State the alternative hypothesis.
a. Ha : σ^2 > 1.6
b. Ha : σ^2 < 1.6
c. Ha : σ^2 ≠ 1.6
2. Level of Significance.
a. α = 0.1
b. α = 0.01
c. α = 0.05
d. α = 0.005
3. Critical Value/s and Rejection Region/s
a. cv = 38.885
b. cv = 40.113
c. cv = 41.337
d. cv = 42.557
4. Decision Rule.
a. Reject the Null Hypothesis if x^2 < 41.337
b. Reject the Null Hypothesis if x^2 > 41.337
c. Reject the Null Hypothesis if x^2 < 42.557
d. Reject the Null Hypothesis if x^2 > 42.557
5. Test statistics.
a. x^2 = 40.63
b. x^2 = 41.68
c. x^2 = 42.63
d. x^2 = 43.68
6. Decision.
a. Reject Ho and Accept Ha
b. Accept Ho and Reject Ha
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