Question

At the 0.01 significance level, test the claim that the three brands have the same mean level if the following sample results have been obtained. Use Anova.

Brand A	Brand B	Brand C
32	27	22
34	24	25
37	33	32
33	30	22
36		21
39

Claim:

Null Hypothesis:

Alternative Hypothesis:

Calculator Screen Name in Ti 183:

test statistics:

Pvalue/alpha conversion

decision:

Conclusion:

Answer 1

Ans:

H₀: The three brands have the same mean level.

H_a:At least one brand has different mean level from others.

H₀ is claim.

	Brand A	Brand B	Brand C
1	32	27	22
2	34	24	25
3	37	33	32
4	33	30	22
5	36		21
6	39
mean	35.167	28.500	24.400
std.dev.	2.639	3.873	4.506

ANOVA output:

Test statistics:

F=12.123

p-value=0.001

Decision:

As,p-value is less than 0.01,we Reject the null hypothesis.

Conclusion:

There is sufficient evidence to reject the claim that the three brands have the same mean level.