Recall (from Homework 8) that Bobby was interested in making inference on the po
ID: 3221454 • Letter: R
Question
Recall (from Homework 8) that Bobby was interested in making inference on the population mean driving time it takes him to get to work during the winter season. Now, he would like to determine the fastest route he can take to get to his workplace. He first identifies four possible routes: Route I, Route 2, Route 3, and Route 4. Then, over the course of three weeks (15 workdays), he randomly selects which route he will take to work each day. Below are the results of his small study. The driving times for each route are listed below the route name. a. What is the response variable in this experiment/study? b. What is the factor in this experiment/study? c. What are the treatments in this experiment/study? d. What are the experimental (or observational) units in this experiment/study? e. Is the study described a designed experiment or an observational study? Justify your answer. f. Create the one-way ANOVA table for this data set with all necessary values, rounding final values to 3 decimals, if necessary. Perform all calculations BY HAND (i.e., don't use Minitab or some other soft were to do the calculations). Show all calculations (even of the Sample means and sample variances)! At the alpha = 0.05 significance level, determine if there is sufficient evidence of differences in population mean driving time from Bobby's apartment to his workplace among the four different routes.Explanation / Answer
(a) Response variable is the variable that is varied by changing the controlled variables. Hence, in this study the response variable would be the "driving time".
(b) Factor of an experiment is a controlled independent variable that can be varied by the experimenter. Hence, in this case the factor would be the "route".
(c) Treatments are the various levels of a factor. Hence, in this case the treatments would be 1, 2, 3 and 4 (different routes).
(d) Experimental (observational) units are the entities that we measure. They can be physical entities that can be assigned to an experiment at random. In this case they are the 15 time measurements between home and work.
Related Questions
Navigate
Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.