Question

Using the data below perform a one-way ANOVA test. Be sure to give the hypotheses, the value of F, the p-value, and the conclusion. Copy and paste the software output into your Word document.

An appliance manufacturing company want to test microwave ovens being sold. The researcher has identified three different types based on the number of watts of the ovens. Three random samples are taken and the data is given below:

Watts 800 900 1000

180 235 225

175 135 225

200 160 190

170   230 215

190 250 250

180 200 230

185    200    170

160 210 179

195 199 200

Answer 1

	Watts
800	900	1000		Anova: Single Factor
180	235	225
175	135	225		SUMMARY
200	160	190		Groups	Count	Sum	Average	Variance
170	230	215		800 Watts	9	1635	181.6667	156.25
190	250	250		900 Watts	9	1819	202.1111	1313.861
180	200	230		1000 Watts	9	1884	209.3333	691.5
185	200	170
160	210	179
195	199	200		ANOVA
				Source of Variation	SS	df	MS	F	P-value	F crit
				Between Groups	3706.741	2	1853.37	2.572207	0.0972458	3.402826
				Within Groups	17292.89	24	720.537
				Total	20999.63	26

Value of F=2.572207

p-value=0.0972458

Since p-value>0.05 so we fail to reject H₀ at 5% level of significance and conclude that there is no significant difference between three different types microwave ovens based on the number of watts of the ovens.