Question

Using the data below perform a one-way ANOVA test. Be sure to give the hypotheses, the...

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

 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.