An experimenter has conducted a single-factor experiment with four levels of the factor, and each factor level has been replicated six times. The computed value of the F-statistic is F0 = 3.26. Find the P-value. Indicate the sampling distribution of the F-statisticand the method or software utilized.

Question

Mathematics

Hayden Kramer

6 May, 10:25

An experimenter has conducted a single-factor experiment with four levels of the factor, and each factor level has been replicated six times. The computed value of the F-statistic is F0 = 3.26. Find the P-value. Indicate the sampling distribution of the F-statisticand the method or software utilized.

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Answers (1)

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Amie · Answer 1

0.0430

Step-by-step explanation:

here numerator degree of freedom = number of factors, K - 1 = 4-1=3

we have the formula denominator degree of freedom = k * (n-1) = 4 * (6-1) = 20

therefore sampling distribution of statistics follow F distribution with degree of freedom (3,20)

Software used here is MS Excel

for above test statistic and (3,20) df, from excel; p value = Fdist (3.26,3,20) = 0.0430