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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: ?₁ − ?₂ = 0

H_a: ?₁ − ?₂ ≠ 0

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

Sample 1	Sample 2
n₁ = 35	n₂ = 40
x₁ = 13.6	x₂ = 10.1
s₁ = 5.8	s₂ = 8.7

(a)

What is the value of the test statistic? (Use

x₁ − x₂.

Round your answer to three decimal places.)

(b)

What is the degrees of freedom for the t distribution? (Round your answer down to the nearest integer.)

(c)

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

p-value =

(d)

? = 0.05,

what is your conclusion?

Do not Reject H₀. There is sufficient evidence to conclude that ?₁ − ?₂ ≠ 0.Reject H₀. There is sufficient evidence to conclude that ?₁ − ?₂ ≠ 0. Do not Reject H₀. There is insufficient evidence to conclude that ?₁ − ?₂ ≠ 0.Reject H₀. There is insufficient evidence to conclude that ?₁ − ?₂ ≠ 0.

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