Question

In: Statistics and Probability

data from 4.8: Problem Set 4.8: One-Way ANOVA in SPSS Criterion: Calculate an ANOVA in SPSS....

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).

Solutions

Expert Solution

The hypothesis being tested is:

H0: µ1 = µ2 = µ3

Ha: 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.


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