Question

Listed below are the weights (in grams) of a sample of M&M's Plain candies, classified according to color.

Red	Orange	Yellow	Brown	Tan	Green
0.946	0.902	0.929	0.896	0.845	0.935
1.107	0.943	0.960	0.888	0.909	0.903
0.913	0.916	0.938	0.906	0.873	0.865
0.904	0.910	0.933	0.941	0.902	0.822
0.926	0.903	0.932	0.838	0.956	0.871
0.926	0.901	0.899	0.892	0.959	0.905
1.006	0.919	0.907	0.905	0.916	0.905
0.914	0.901	0.906	0.824	0.822	0.852
0.922	0.930	0.930	0.908		0.965
1.052	0.883	0.952	0.833		0.898
0.903		0.939
0.895		0.940
		0.882
		0.906

1. Identify the null hypothesis and the alternate hypothesis.

Null hypothesis:

a) H₀: μ₁ ≠ μ₂ ≠ μ₃ ≠ μ₄ ≠ μ₅ ≠ μ₆

b) H₀: μ₁ = μ₂ = μ₃ = μ₄ = μ₅ = μ

2. Alternate hypothesis:

• The treatment means are equal.

• Not all treatment means are equal.

3. State the decision rule for 0.05 significance level. (Round your answer to 2 decimal places.

4. Complete the ANOVA table. (Round your SS, MS to 3 decimal places, and F to 3 decimal places.)

5. Use a statistical software system to determine whether there is a difference in the mean weights of candies of different colors. Use the 0.05 significance level.

Answer 1

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