Answered: Exercise 11-29 Algo Consider the…

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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Exercise 11-29 Algo

Consider the following competing hypotheses and relevant summary statistics: (You may find it useful to reference the appropriate table: chi-square table or F table)

H₀: σ21/σ22

≥ 1
H_A: σ21/σ22

< 1

Sample 1: s21

= 679, and n₁ = 14
Sample 2: s22

= 1,484, and n₂ = 13

a. Calculate the value of the test statistic. (Round intermediate calculations to at least 4 decimal places and final answer to 3 decimal places.)

b-1. Find the p-value.

multiple choice 1

0.05

p-value < 0.10
0.025

p-value < 0.05
0.01

p-value < 0.025
p-value < 0.01
p-value

0.10

b-2. At α = 10%, what is your conclusion?

multiple choice 2

Reject H₀; we can say that variance 1 is lower than variance 2.
Do not reject H₀; we cannot say that variance 1 is lower than variance 2.
Reject H₀; we can say that variance 1 is lower than variance 2.
Do not reject H₀; we cannot say that variance 1 is lower than variance 2.

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