The table available below shows the weights (in pounds) for a sample of vacuum c

Question

The table available below shows the weights (in pounds) for a sample of vacuum cleaners. The weights are classified according to vacuum cleaner type. At alpha = 0.01, can you conclude that at least one mean vacum cleaner weight is different from the others? Let mu_BU, mu_BLU, and mu_TC represent the mean weights for bagged upright, bagless upright, and top canister vacuums respectively. What are the hypotheses for this test? A. H_0: mu_BU notequalto mu_BLU notequalto mu_TC H_a: mu_BU = mu_BLU = mu_TC B. H_0: mu_BU = mu_BLU = mu_TC H_a: mu_BU notequalto mu_BLU notequalto mu_TC C. H_0: mu_BU = mu_BLU = mu_TC H_a: At least one of the means is different. H_0: At least one of the means is different. H_a: mu_BU = mu_BLU = mu_TC What is the test statistic? F = (Round to two decimal places as needed.) What is the P-value? P value = (Round to three decimal places as needed.) What is the correct conclusion?

Explanation / Answer

from above F=2.39

P value =0.126

fail to reject null hypothesis

Source of Variation SS df MS F P-value F crit Between Groups 22.11111 2 11.05556 2.386091 0.125972 3.68232 Within Groups 69.5 15 4.633333 Total 91.61111 17

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