Question 823465: A medical researcher wanted to test the effect of types of treatment to recover from a cold. He collected the data for the pill, syrup, and sleeping. The data shows the number of days patients took to recover from a cold. Test the hypothesis that the mean days of recovery is not different among treatment types at α = 0.01.
Pill Syrup Sleep Anova: Single Factor
3.9 5.4 1.3
1.4 2 0.7 SUMMARY
4.1 4.8 2.2 Groups Count Sum Average Variance
5.5 3.8 1.4 Pill 5 17.2 3.44 2.588
2.3 3.5 2.1 Syrup 5 19.5 3.9 1.71
Sleep 5 7.7 1.54 0.383
ANOVA Source of Variation SS df MS F P-value F crit Between Groups 15.652 2 7.826 5.015594958 0.026113179 3.885293835
Within Groups 18.724 12 1.560333333(MS)
Total 34.376 14
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! A medical researcher wanted to test the effect of types of treatment to recover from a cold. He collected the data for the pill, syrup, and sleeping. The data shows the number of days patients took to recover from a cold. Test the hypothesis that the mean days of recovery is not different among treatment types at alpha = 0.01.
Pill Syrup Sleep Anova: Single Factor
3.9 5.4 1.3
1.4 2 0.7 SUMMARY
4.1 4.8 2.2 Groups Count Sum Average Variance
5.5 3.8 1.4 Pill 5 17.2 3.44 2.588
2.3 3.5 2.1 Syrup 5 19.5 3.9 1.71
Sleep 5 7.7 1.54 0.383
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ANOVA Source of Variation SS df MS F P-value F crit Between Groups 15.652 2 7.826 5.015594958 0.026113179 3.885293835
Within Groups 18.724 12 1.560333333(MS)
Total 34.376 14
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Ho: The means are equal
Ha: At least one of the means is different
Conclusion from the DATA: Since the p-value is greater than 1%, fail
to reject Ho.
Conclusion: The means are not all statistically equal at the 1% level of significance.
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Cheers,
Stan H.
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