Question

Follow the questions below to conduct a One-way ANOVA test for the sample problem used in the lecture (with some slight data modifications):

A travel journal is comparing the ratings of three local cupcake shops to see who’s the best.
N = 30; send 10 to each shop (assume alpha of .05)

Shop A: M = 1, SD = 3.00

Shop B: M = 5, SD = 3.16

Shop C: M = 6, SD = 3.32

-> Report significance (i.e., your statistical determination in the appropriate way for the ANOVA summary table)

Answer 1

The hypothesis being tested is:

H0: µ1 = µ2 = µ3

Ha: Not all means are equal

	xi	s	s²	n	n*(xi - xgrand)²
	1	3	9	10	90	90
	5	3.16	9.9856	10	10	99.856
	6	3.32	11.0224	10	40	110.224
xgrand	4				SSB	SSE
					140	300.08
Source	SS	df	MS	F	p-value
Between	140	2	70	6.29832	0.005689
Error	300.08	27	11.11407
Total	440.08	29

The p-value is 0.005689.

Since the p-value (0.005689) is less than the significance level (0.05), we can reject the null hypothesis.

Therefore, we can conclude that there is a significant difference between the groups' means.

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