Question

data from 4.8:

Problem Set 4.8: One-Way ANOVA in SPSS

• Criterion: Calculate an ANOVA in SPSS.
• Data: Tyrone is testing out dye strength after washing dyed fabric for his new fabric line. He dyes his fabrics blue, green, and yellow and washes the fabric one time. The following are the dye strength results for 10 pieces of fabric in each color after one wash:

Blue	Green	Yellow
98	55	66
96	53	71
92	57	73
92	60	71
88	52	76
86	54	72
89	62	74
92	53	69
94	54	68
90	65	70

ANOVA
DyeStrength
	Sum of Squares	df	Mean Square	F	Sig.
Between Groups	6259.267	2	3129.633	226.785	.000
Within Groups	372.600	27	13.800
Total	6631.867	29

Problem Set 4.9: One-Way ANOVA results in APA style

• Criterion: Report ANOVA results in APA format.
• Data: Use the Dye Strength data from Problem Set 4.8.
• Instruction: Complete the following:

a.   State the null hypothesis.

b.   Report your results in APA format (as you might see them reported in a journal article).

Answer 1

The hypothesis being tested is:

H₀: µ₁ = µ₂ = µ₃

H_a: At least one means is not equal

The SPSS output is:

The p-value from the output is 0.000.

Since the p-value (0.000) is less than the significance level (0.05), we can reject the null hypothesis.

Therefore, we can conclude that there is a significant difference in at least one dye strength.