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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

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    https://brainmass.com/statistics/analysis-of-variance/anova-comparing-population-mean-238614

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    Solution Summary

    The solution provides step by step method for the calculation of ANOVA test statistic . Formula for the calculation and Interpretations of the results are also included.

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