WK6 - Homework

WK6 - Homework - WEEK 6 HOMEWORK 12-22 A physician who...

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1 WEEK 6 HOMEWORK 12-22. A physician who specializes in weight control has three different diets she recommends. As an experiment, she randomly selected 15 patients and then assigned 5 to each diet. After three weeks the following weight losses, in pounds, were noted. At the .05 significance level, can she conclude that there is a difference in the mean amount of weight loss among the three diets? Plan A Plan B Plan C 5 6 7 7 7 8 4 7 9 5 5 8 4 6 9 Anova: Single Factor SUMMARY Groups Count Sum Average Variance Column 1 5 25 5 1.5 Column 2 5 31 6.2 0.7 Column 3 5 41 8.2 0.7 ANOVA Source of Variation SS df MS F P-value F crit Between Groups 26.1333 2 13.0667 13.5172 0.000844 3.88529 Within Groups 11.6 12 0.96667 Total 37.7333 14 Null Hypothesis (Ho): μA = μB = μC Alternative Hypothesis (Ha): At least on of them is equal Test statistics F = 13.5172 P-value is 0.0008 Since p-value is less than 0.05 level of significance, we have sufficient evidence to reject null hypothesis. We can conclude that there is a difference in the mean amount of weight loss among the three diets 12-28. Three assembly lines are used to produce a certain component for an airliner. To examine the production rate, a random sample of six hourly periods is chosen for each assembly line and the number

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2 of components produced during these periods for each line is recorded. The output from a statistical software package is: Groups Count Summary Sum Average Variance Line A 6 250 41.66667 0.266667 Line B 6 260 43.33333 0.666667 Line C 6 249 41.5 0.7 ANOVA Source of Variation SS df MS F P-value Between Groups 12.33333 2 6.166667 11.32653 0.000101 Within Groups 8.166667 12 0.544444 Total 20.5 17 a. Use a .01 level of significance to test if there is a difference in the mean production of the three assembly lines. Since p-value in the table is 0.000101, which is less than significant level 0.01, we can reject null hypothesis. Conclusion: there is a difference in the mean production of the three assembly lines.
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WK6 - Homework - WEEK 6 HOMEWORK 12-22 A physician who...

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