In each of Exercises C.47–C.53, we have presented a study conducted using two-way ANOVA and have displayed corresponding computer output that contains a two-way ANOVA table, cell and marginal
C.47 Household Income. The U.S. Bureau of the Census publishes data on money income of households by race and region in Current Population Reports. Independent samples of households yielded the following data on annual household income, in thousands of dollars. We performed a two-way ANOVA on the data. Output C.7 on page C-33 shows the resulting computer output and also supplies a table of cell and marginal means. Output C.8 on page C-33. shows the interaction plots.
OUTPUT C.7 ANOVA: INCOME versus RACE, REGION
Output for Exercise C.47 (and Exercise C.77)
OUTPUT C.8
Output for Exercise C.47
Want to see the full answer?
Check out a sample textbook solutionChapter C Solutions
Introductory Statistics (10th Edition)
- What is meant by the sample space of an experiment?arrow_forwardOn snow-covered roads, winter tires enable a car to stop in a shorter distance than if summer tires were installed. In terms of the additive model for one-way ANOVA, and for an experiment in which the mean stopping distances on a snow-covered road are measured for each of four brands of winter tires. If the data are as shown in Sheet 48, what conclusion would be reached at the 0.01 level of significance? Shett 48 Supplier A 517 484 463 452 502 447 481 500 485 566 Supplier B 479 499 488 430 482 457 424 488 526 455 Supplier C 435 443 480 465 435 430 465 514 463 510 Supplier D 526 537 443 505 468 533 481 477 490 470 Select one: a) p-value = 0.28 greater than 0.05, the average distance is different for at list two tires b) F stat = 1.86, F crit = 4.38, not enough evidence to claim that the average distance is different for at list two tires c) F ratio = 4.38, not enough evidence to claim that the average distance is different for at list two tires d) F stat = 0.68, F…arrow_forwardFor each of the following scenarios, what are two names for the ANOVA that would be conducted to analyze the data? A researcher examined the effect of gender and pet ownership (no pets, one pet, more than one pet) on a measure of loneliness. In a study on memory, participants completed a memory task once each week for 4 weeks—twice after sleeping 8 hours and twice after sleeping 4 hours. In each sleep condition, the participants completed the task after ingesting a caffeinated beverage and again, on another day, after ingesting a “placebo” beverage that they were told contained caffeine. A study examined the impact of students’ Instagram profiles on numbers of Instagram friends. The researchers were interested in the effect of (1) the profile photo—either an identifiable photo of the student or a photo of someone or something else (e.g., a dog)—and (2) bio length—either short (fewer than 75 characters) or long (75 characters or more).arrow_forward
- For a two-factor ANOVA with two levels of factor A, two levels of factor B, and a separate sample of n = 5 participants in each treatment condition, the two means for level A1 are 6 and 8, and the two means for level A2 are 6 and 10. For these data, what is the value of SSB?arrow_forwardFor a two-factor ANOVA with two levels of factor A, two levels of factor B, and a separate sample of n = 8 participants in each treatment condition, the two means for level A1 are 3 and 5, and the two means for level A2 are 4 and 2. For these data, what is the value of SSbetween treatments?arrow_forwardThe marketing manager of a large super-market chain has the business objective of using shelf space most efficiently. Toward that goal, they would like to use shelf space to predict the sales of a specialty pet food. Data are collected from a random sample of 12 equal-sized store, with the following results: Shelf Space Sales Aisle Location 5 160 0 5 220 1 5 140 0 10 190 0 10 240 0 10 260 1 15 230 0 15 270 0 15 280 1 20 260 0 20 290 0 20 310 1 For these data, Syx = 30.8058436 and hi = 0.1373333 when X = 8. *Round final answers below to three decimal places. Do not round calculations until the final answer. (a) Construct a 95% confidence interval estimate of the mean weekly sales for all stores that have 8 square feet of shelf space for pet food. (b) Construct a 95% prediction interval of the weekly sales of an individual store that has 8 square feet of shelf…arrow_forward
- Glencoe Algebra 1, Student Edition, 9780079039897...AlgebraISBN:9780079039897Author:CarterPublisher:McGraw HillCollege Algebra (MindTap Course List)AlgebraISBN:9781305652231Author:R. David Gustafson, Jeff HughesPublisher:Cengage Learning