Question 4 (10 points) Match up the following ANOVA statements: An Internet site randomly sent customers to one of three versions of its site and recorded how long each user stayed on a version. What kind of analysis is required? The test statistic F rejects HO if Mrs. Fields food lab evaluated chocolate chips for chocolate chip cookies. O a ... . . . . . . . . . . . .. . . . . . . . . . 15 16 $7 144 3 * & % 7 4 6 8 3 15Mrs. Fields food lab evaluated chocolate chips for chocolate chip cookies. They baked cookies with different kinds of chips (milk, dark, and semi- sweet chocolate). Trained testers ranked the cookies 1. Water temperature and washing on a 5-point Likert scale. time What are the levels of the factor? 2. milk, dark, and semi-sweet As the spread within 3. 1-way ANOVA samples increases and the spread between sample 4 . 2-way ANOVA means decreases a W X . .. . . . . . . . ... . .... . . . .x . . . . . . . . . . .. . . .' . . . . . .. . .. . .. . . . . . . . . . .. . . . . .. . . . . . . . . . . . . . . . . . . F11 $10 f8 19 144 DII f7 f6 f4 & 9 $ 6 7 4 5 O P Y U R Tspread between sample 4. 2-way ANOVA means decreases 5. the test statistic increases As the test statistic moves in the direction of HA , 6. the test statistic decreases pvalue decreases 7. True To test a new laundry detergent, pieces of white cloth were coated with the 8. test statistic > critical value same amount of a grease. After hot or cold water, 9. The means are not all equal combined with short or long wash times, 10. False cleanness was measured. What are the factors? 11. Chi Square test O X . . .. . .. .. . . . . . . .. .. . . . . . . .. . . . . . . . . . . . .. . . . . .... . . . . . . .. . .... . . . . . ... . . . . . . . . . . ... . . . . . . . . . . . . ... . . . . .. . . . . . . . . . . . . . .. ... .. ... . . .. . . . . 10 $12 f5 f6 f7 8 19 144 DI DDI 14 101 % & 5 9 4 6 8 E R T Y U O PIn ANOVA, Rejecting HO means that Pieces of white cloth were coated with the same amount of a grease. Washed with hot or cold water, and with short or long wash times, cleanness was measured. What type of analysis is required? As the spread within samples decreases and the spread between sample means increases O a v90 X hip ... . .. .. . . . . . . .. . . . . . . . . . . . . .... . . . .. . . . .. . . . .. . . .. . . . . . .. . ..... . . . .0 . .... . . . . . . . . . . . . . . . . .... . . . . . .... ... .. ..... ... .. 19 16 $7 144 f4 10I % & 8 3 4 5 6 7 E T Y U O R