The following data summarize the results from an independent-measure study by co

Question

The following data summarize the results from an independent-measure study by comparing three treatments conditions.

N=12

G=48

Calculate the sample variance for each of the thee samples(Fill in the blanks)

Variance for sample I=______

Variance for sample II=_______

Variance for sample III=________

Complete the ANOVA table using two decimal places for sum of squares,mean squares, and F.(Fill in the blanks)

Multiple Choice:

A)Fail to reject the null hypotheis. There are significant differences among the three treatments

B)Fail to rejest the null hypothesis.There are no significant differences among the three treatments

C)Reject the null hypothesis.There are no significant differences among the three treatments.

D) Reject the null hypothesis. There are significant differences among the three treatments.

Treatment I II III 4 3 8 3 1 4 5 3 6 4 1 6 M=4 M=2 M=6 T=16 T=8 T=24 SS=2 SS=4 SS=8

Explanation / Answer

Variance for sample I=__0.667____

Variance for sample II=__1.333_____

Variance for sample III=__2.667__

H0: All the Treatment means are equal

H1: All the treatment means are not equal

alpha is 5%

ANOVA TABLE

COncluison: P value=0.004 and alpha=0.05

P < alpha, we reject the null hypothesis.

Anova: Single Factor SUMMARY Groups Count Sum Average Variance I 4 16 4 0.666667 II 4 8 2 1.333333 III 4 24 6 2.666667 ANOVA Source of Variation SS df MS F P-value F crit Between Groups 32 2 16 10.28571 0.004733 4.256495 Within Groups 14 9 1.555556 Total 46 11

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