Download Effects of Food-Drink on Blood Alcohol & Comparing Car Parking in Two Lots and more Exams Mathematical Statistics in PDF only on Docsity! Statistics 250: Introduction to Statistics II (Sec. 4; Kane Nashimoto) Exam 3 - Ch. 14.4 through 15.6 Winter 2002 Name: Directions: This exam contains five problems worth a total of 100 points. For each computa- tional problem, you must first write the formula to be used and present all your subsequent work in order to receive full or partial credit. 1. It is a common belief that people get “hammered” faster if i) they mix drinks and/or ii) they drink without food. In order to determine whether there is truth to either or both of the theories, a controlled experiment was conducted. In the experiment, a total of 20 volunteers were randomly divided into two groups, where one group was given an appetizer dish and the other was given no food. In each group, half of the volunteers were offered two or more different kinds of drinks and the other half were offered only beers. The total amount of alcohol given was 75 mL for each volunteer during the course of the experiment. At the end of the experiment, the blood alcohol levels (in percent) were measured, and the data were analyzed by a two-way analysis of variance. An alpha level of .05 was chosen. Analysis of Variance for BALEVEL Source DF SS MS F P DRINKS 1 0.000001 0.000001 0.00 0.963 FOOD 1 0.000117 0.000117 0.47 0.501 Interaction 1 0.000694 0.000694 x.xx 0.113 Error xx 0.003939 0.000246 Total 19 0.004750 Individual 95% CI DRINKS Mean ------+---------+---------+---------+----- BEER 0.1150 (-----------------*----------------) MIXED 0.1153 (----------------*-----------------) ------+---------+---------+---------+----- 0.1080 0.1140 0.1200 0.1260 Individual 95% CI FOOD Mean ----+---------+---------+---------+------- NO 0.1176 (--------------*--------------) YES 0.1127 (--------------*--------------) ----+---------+---------+---------+------- 0.1050 0.1120 0.1190 0.1260 (a) The degrees of freedom for error and the F -ratio for the interaction have been erased. Recover these values. (5 pts.) 1 (b) Identify the number of levels for each treatment factor. (5 pts.) (c) Is it meaningful to examine the main effects in the present analysis? Explain why or why not. (5 pts.) (d) Using the relevant information found in the MINITAB output, determine the truth of the two theories described earlier. Be specific yet concise. (5 pts.) 2. The total numbers of cars parked in a day were recorded for two parking lots (East- side & West-side) of a shopping center for seven consecutive days (see below for data). Is there sufficient evidence to conclude that the numbers of cars parked are different in the two lots? Conduct a nonparametric test with a significance level of .05. Assume that the numbers of cars parked are independent across the days. (20 pts.) Day East-side West-side 1 425 380 2 381 357 3 266 240 4 508 492 5 403 420 6 399 331 7 411 364 H0 : vs. H1 : Show the supporting work (using any available space), state the decision (reject or retain H0), and interpret the result in the context of the problem. 2
