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. a 0.05. can you conclude that at least one mean vacuum cleaner weight is different from the others? Click the icon to view the vacuum cleaner weight data. Let represent the mean weights for 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 = 0.05, can you conclude that at least one mean vacuum cleaner weight is different from the others? Click the icon to view the vacuum cleaner weight data. Weight of vacuum cleaners by Type What is the test statistic? F. (Round to two decimal places as needed) What is the P value? (Round to three decimal places as needed.) What is the correct conclusion? Do not reject There is not enough evidence conclude that mean weights vary across the vacuum cleaner types Click to select your answer(s).

Explanation / Answer

The statistical software output for this problem is:

Analysis of Variance results:
Data stored in separate columns.

Column statistics

ANOVA table

Hence,

Null and alternative hypotheses: Option B

F = 13.72

P - value = 0.0004

Conclusion:

Reject Ho. There is sufficient evidence to conclude that mean weights vary across the vacuum cleaner types.

Column n Mean Std. Dev. Std. Error Bagged Upright 6 21.5 1.8708287 0.76376262 Bagless Upright 6 18.666667 2.4221203 0.98882646 Top Canister 6 25.166667 2.1369761 0.87241682

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