Question

A statistics instructor wonders whether significant differences exist in her students’ test scores in her three different sections. She randomly selects the scores from 10 students in each section. A portion of the data is shown in the accompanying table. Assume test scores are normally distributed.

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Section 1				Section 2				Section 3
	93				84				56
	54				71				93
	⋮				⋮				⋮
	93				50				96

a. Construct an ANOVA table. (Round "Sum Sq" and "Mean Sq" to 1 decimal place, "F value" to 3, and "p-value" to 3 decimal places. Before fitting your model, type options(scipen=10) and options(digits=10) into your R console.)

b. Do these data provide enough evidence at the 5% significance level to indicate that there are some differences in average test scores among these three sections?

• No   since the p-value is not less than significance level.
• Yes   since the p-value is less than significance level.
• No   since the p-value is less than significance level.
• Yes   since the p-value is not less than significance level.

Answer 1

SOLUTION : -

a)



b)

p-value = 0.527699 > 0.05

So, Failed to reject the null hypothesis

No, Since the p-value is not less than the significant value.