Question

We like to see the effect of design (design A, B, C and D) on customer...

We like to see the effect of design (design A, B, C and D) on customer ratings with 0.05 alpha.

We have following outputs of ANOVA test.

Df Sum Sq Mean Sq F value Pr(>F)   

golf$design 3 2991.0 997.0 53.03 0.00045 ***

Residuals 36 676.8 18.8

Signif. codes: 0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1

Which one is the correct statement?

a.

Since p-value is less than 0.05, reject H0.

Thus, there is no evidence that not all mean ratings of designs are equal.

b.

Since p-value is less than 0.05, do not reject H0.

Thus, there is evidence that not all mean ratings of designs are equal.

c.

Since p-value is less than 0.05, do not reject H0.

Thus, there is no evidence that not all mean ratings of designs are equal.

d.

Since p-value is less than 0.05, reject H0.

Thus, there is evidence that not all mean ratings of designs are equal.

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