Question

Consider the following. (Give your answer bounds exactly.)

(a) Find the p-value for F = 3.81, df(factor) = 5, df(error) = 23.
____ < p < _____

(b) Find the p-value for F = 4.3, df(factor) = 3, df(error) = 24.
_____ < p < ____

(c) Find the p-value for F = 4.74, df(factor) = 6, df(error) = 26.
____ < p <____

Consider the following ANOVA experiments. (Round your answers to two decimal places.)

(a) Determine the critical region and critical value that are used in the classical approach for testing the null hypothesis H₀: μ₁ = μ₂ = μ₃ = μ₄, with n = 20 and α = 0.025.
F ≥ _____

(b) Determine the critical region and critical value that are used in the classical approach for testing the null hypothesis H₀: μ₁ = μ₂ = μ₃ = μ₄ = μ₅, with n = 19 and α = 0.01.
F ≥ _____

(c) Determine the critical region and critical value that are used in the classical approach for testing the null hypothesis H₀: μ₁ = μ₂ = μ₃, with n = 24 and α = 0.025.
F ≥ _____

Answer 1

Solution 1:

a)

P-value for F = 3.81, df(factor) = 5, df(error) = 23 is as follows:

0.01 < p < 0.025 (Obtained using F distribution table. 3.81 lies between 3.18 and 3.94. Screenshot below)

b)

P-value for F = 4.3, df(factor) = 3, df(error) = 24 is as follows:

0.010 < p < 0.025 (Obtained using F distribution table. 4.3 lies between 3.72 and 4.72. Screenshot below)

c)

P-value for F = 4.74, df(factor) = 6, df(error) = 26 is as follows:

0.001 < p < 0.010 (Obtained using F distribution table. 4.74 lies between 3.59 and 5.38. Screenshot below)

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