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# ANOVA comparing population mean

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A research organization tested microwave ovens. At alpha=.10, is there a significant difference in the average price of the three types of ovens? The data and an ANOVA table are shown below. Based on the ANOVA table is the null hypothesis of equal price rejected or not rejected? On what did you base your decision? Be sure to justify your answer.

A research organization tested microwave ovens. At alpha=.10, is there a significant difference in the average price of the three types of ovens? The data and an ANOVA table are shown below. Based on the ANOVA table is the null hypothesis of equal price rejected or not rejected? On what did you base your decision? Be sure to justify your answer.

Microwave oven watts 1000 900 800
Price in dollars \$270.00 \$240.00 \$180.00
\$245.00 \$135.00 \$155.00
\$190.00 \$160.00 \$200.00
\$215.00 \$230.00 \$120.00
\$250.00 \$250.00 \$140.00
\$230.00 \$200.00 \$180.00
\$200.00 \$140.00
\$210.00 \$130.00

Anova: Single Factor

SUMMARY
Groups Count Sum Average Variance
1000 6 1400 233.3333 796.6667
900 8 1625 203.125 1549.554
800 8 1245 155.625 795.9821

ANOVA
Source of Variation SS df MS F P-value F crit
Between Groups 21729.73 2 10864.87 10.11821 0.001019 3.52189
Within Groups 20402.08 19 1073.794

Total 42131.82 21