Question

Consider the following table:

	SS	DF	MS	F
Among Treatments	1916.25
Error	?	12	263.24
Total		19

Step 1 of 8:

Calculate the sum of squares of experimental error. Please round your answer to two decimal places.

Step 2 of 8:

Calculate the degrees of freedom among treatments.

Step 3 of 8:

Calculate the mean square among treatments. Please round your answer to two decimal places.

Step 4 of 8:

Calculate the F-value. Please round your answer to two decimal places.

Step 5 of 8:

What is the sum of squares of sample means about the grand mean? Please round your answer to two decimal places.

Step 6 of 8:

What is the variation of the individual measurements about their respective means? Please round your answer to two decimal places.

Step 7 of 8:

What is the critical value of F at the 0.1 level? Please round your answer to four decimal places, if necessary.

Step 8 of 8:

Is F significant at 0.1?

Answer 1

(1) MS error = SS error / df Error

Therefore SS error = MS Error * df Error = 263.24 * 12 = 3158.88

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(2) df Among Treatments = df Total - df Error = 19 - 12 = 7

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(3) Mean Square among Treatments = SS Treatments / df Treatments = 1916.25 / 7 = 273.75

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(4) F Value = MS Tratments / MS Error = 273.75 / 263.24 = 1.04

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(5) Sum of square around grand mean = SS Treatment = 1916.25

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(6) Variation of individual measurements about the respective means = S error = 3158.88

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(7) Critical Value, at = 0.1, df 1 = 7, df2 = 12 is 2.2828

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(8) Is F significant. Since F observed (1.04) is < F critical (2.2828), therefore F is NOT Significant.

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