Question

The data in the table to the right resulted from an experiment that utilized a completely randomized design. Complete parts a and b below.

Treatment 1	Treatment 2	Treatment 3
3.7	5.2	1.81
1.2	2.8	0.30
4.3	4.2	2.1
5.9	3.8
1.8

a.

Use statistical software or the appropriate calculation formulas to complete the ANOVA table below.

Source	df	SS	MS	F statistic
Treatments
Error
Total

​(Round to three decimal places as​ needed.)

b.

Test the null hypothesis that

muμ1equals=muμ2equals=muμ3​,

where

muμi

represents the true mean for treatment​ i, against the alternative that at least two of the means differ. Use alpha equals 0.01 .α=0.01.

Determine the test statistic.

Fequals=nothing

​(Round to three decimal places as​ needed.)

Determine the p-value

Determine the conclusion of the test. Choose the correct answer below.

A Reject Ho. There is insufficient evidence to indicate difference among the means.

B. Reject Ho. There is sufficient evidence to indicate differences among the means.

C. Do not reject Ho. There is sufficient evidence to indicate differences among the means.

D. Do not reject Ho. There is insufficient evidence to indicate differences among the means.

Answer 1

The statistical software output for this problem is:

Hence,

a) ANOVA table:

Source	df	SS	MS	F statistic
Treatments	2	12.267	6.134	2.849
Error	9	19.376	2.153
Total	11	31.643

b) F = 2.849

p - Value = 0.11

Conclusion: Do not reject Ho. There is insufficient evidence to indicate differences among the means. Option D is correct.