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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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Consider the following hypothesis test.

H₀: μ₁ − μ₂ ≤ 0

H_a: μ₁ − μ₂ > 0

The following results are for two independent samples taken from the two populations.

Sample 1	Sample 2
n₁ = 40	n₂ = 50
x₁ = 25.7	x₂ = 22.8
σ₁ = 5.8	σ₂ = 6

(a)

What is the value of the test statistic? (Round your answer to two decimal places.)

(b)

What is the p-value? (Round your answer to four decimal places.)

(c)

With

? = 0.05,

what is your hypothesis testing conclusion?

Reject H₀. There is sufficient evidence to conclude that μ₁ − μ₂ > 0.Reject H₀. There is insufficient evidence to conclude that μ₁ − μ₂ > 0. Do not reject H₀. There is insufficient evidence to conclude that μ₁ − μ₂ > 0.Do not Reject H₀. There is sufficient evidence to conclude that μ₁ − μ₂ > 0.

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