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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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d. Specify the competing hypotheses in order to determine whether some differences exist between the population means.

(Which one is correct below)

H₀: μ_A ≥ μ_B ≥ μ_C; H_A: Not all population means are equal.
H₀: μ_A = μ_B = μ_C; H_A: Not all population means are equal.
H₀: μ_A ≤ μ_B ≤ μ_C; H_A: Not all population means are equal.

e-1. Calculate the value of the F_{(df1, df2)} test statistic. (Round intermediate calculations to at least 4 decimal places and final answer to 3 decimal places.)

Test statistic =

e-2. Find the p-value.

(Which one is correct below)

0.01 ≤ p-value < 0.025
0.05 ≤ p-value < 0.10
p-value < 0.01
p-value ≥ 0.10
0.025 ≤ p-value < 0.05

f. At the 10% significance level, what is the conclusion to the test?

(Which one is correct below)

Do not reject H₀ since the p-value is not less than significance level
Reject H₀ since the p-value is less than significance level
Reject H₀ since the p-value is not less than significance level
Do not reject H₀ since the p-value is less than significance level

g. Interpret the results at α = 0.10.
(Which one is correct below)

We conclude that some means differ.
We cannot conclude that some means differ.
We cannot conclude that all means differ.
We cannot conclude that population mean C is greater than population mean A.

Treatments
-20
-7
-19
-18
-8
-4
-17
-7
-18
-12
-19
-15
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-13

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