Task 1 Consider the three samples listed in the table A B C

Task 1: Consider the three samples listed in the table:

A B C
1 0 3
3 6 12
5 2 6
5 3
2

A) Obtain the sample mean and the sample standard deviation of each of the three samples.

B) Obtain total sum of squares (SST,) treatment sum of squares (SSTR,) and error sum of squares (SSE)
by using the defining formulas and verify that the one-way ANOVA identity holds.

C) Obtain SST, SSTR, and SSE by using the computing formulas.

D) Construct the one-way ANOVA table.

Task 2: : Read the case study titled

Solution

(1)(A)

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(B)total sum of squares (SST,) =110

treatment sum of squares (SSTR,) =36.45

error sum of squares (SSE)=73.55

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(C)total sum of squares (SST,) =110

treatment sum of squares (SSTR,) =36.45

error sum of squares (SSE) =73.55

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(D)

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(2)(A)The mean square treatment (MSTR) measures the variability in the sample means.

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(B)the mean squared error (MSE) of an estimator measures the average of the squares of the \"errors\"

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(C)