Introductory Statistics (10th Edition)
10th Edition
ISBN: 9780321989178
Author: Neil A. Weiss
Publisher: PEARSON
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Chapter C.3, Problem 49E
To determine
Analyze the two-way ANOVA.
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A low-level CDC bureaucrat wants to please his boss by gathering evidence thatthe current government-mandated shutdown of society is not causing people’s mentalhealth to deteriorate, so that it can safely be continued for several years if anyexpert says it’s necessary.He polls a random sample of 1600 citizens, gathering data on such items asincome loss, weight gain, access to toilet paper, hours spent binge-watchingNetflix, and number of injuries caused by household fights, and compiles all thisinto a scientifically-weighted “misery index”.The mean misery index from the sample is 99.2; it seems reasonable to use apopulation standard deviation σ = 19.1.a) Does this information provide significant evidence (at the 5% level) that thenationwide mean misery index is less than 100? Set up appropriate null andalternative hypotheses, calculate the appropriate test statistic, find the P-value,and state your conclusion. (10)b) A CDC press release publishing the results of this study claims that…
A low-level CDC bureaucrat wants to please his boss by gathering evidence thatthe current government-mandated shutdown of society is not causing people’s mentalhealth to deteriorate, so that it can safely be continued for several years if anyexpert says it’s necessary.He polls a random sample of 1600 citizens, gathering data on such items asincome loss, weight gain, access to toilet paper, hours spent binge-watchingNetflix, and number of injuries caused by household fights, and compiles all thisinto a scientifically-weighted “misery index”.The mean misery index from the sample is 99.2; it seems reasonable to use apopulation standard deviation σ = 19.1.a) Does this information provide significant evidence (at the 5% level) that thenationwide mean misery index is less than 100? Set up appropriate null andalternative hypotheses, calculate the appropriate test statistic, find the P-value,and state your conclusion.
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77 respondents said they had funded an account; 13 respondents said they had not
Chapter C Solutions
Introductory Statistics (10th Edition)
Ch. C.1 - Define the following terms: a. factor b. levels of...Ch. C.1 - A three-way factorial design has Factor A at 3...Ch. C.1 - A four-way factorial design has Factor A at 2...Ch. C.1 - A three-way factorial design has Factor A at 6...Ch. C.1 - Answer true or false to each of the following...Ch. C.1 - Prob. 8ECh. C.1 - Answer true or false to each of the following...Ch. C.1 - Prob. 10ECh. C.1 - In each of Exercises C.11C.17 identify the...Ch. C.1 - In each of Exercises C.11C.17 identify the...
Ch. C.1 - In each of Exercises C.11C.17 identify the...Ch. C.1 - In each of Exercises C.11C.17 identify the...Ch. C.1 - In each of Exercises C.11C.17 identify the...Ch. C.1 - Prob. 16ECh. C.1 - In each of Exercises C.11C.17 identify the...Ch. C.2 - Consider a 3 4 ANOVA. a. Identify the number of...Ch. C.2 - Consider a 4 2 ANOVA. a. Identify the number of...Ch. C.2 - Prob. 25ECh. C.2 - Prob. 26ECh. C.2 - Prob. 27ECh. C.2 - Prob. 28ECh. C.2 - In two-way ANOVA, identify what we mean by a. a...Ch. C.2 - In two-way ANOVA, what does it mean we have...Ch. C.2 - In Exercises C.31C.33, we have presented partially...Ch. C.2 - Prob. 32ECh. C.2 - Prob. 33ECh. C.2 - Prob. 34ECh. C.2 - State the null and alternative hypotheses for a...Ch. C.2 - Prob. 36ECh. C.2 - In a two-way ANOVA, why is the test for...Ch. C.2 - Prob. 38ECh. C.2 - Prob. 39ECh. C.2 - Prob. 40ECh. C.2 - Prob. 41ECh. C.2 - Referring to Exercise C.38, for which part(s) is...Ch. C.2 - Prob. 43ECh. C.2 - Prob. 44ECh. C.2 - Prob. 45ECh. C.2 - Prob. 46ECh. C.3 - In each of Exercises C.47C.53, we have presented a...Ch. C.3 - In each of Exercises C.47C.53, we have presented a...Ch. C.3 - Prob. 49ECh. C.3 - Prob. 50ECh. C.3 - Prob. 51ECh. C.3 - Prob. 52ECh. C.3 - Prob. 53ECh. C.3 - Prob. 54ECh. C.3 - Prob. 55ECh. C.3 - Prob. 56ECh. C.3 - Prob. 57ECh. C.3 - Prob. 58ECh. C.3 - Prob. 59ECh. C.3 - Prob. 60ECh. C.3 - Prob. 61ECh. C.3 - Prob. 62ECh. C.3 - Prob. 63ECh. C.3 - Prob. 64ECh. C.3 - Prob. 65ECh. C.3 - Prob. 66ECh. C.3 - Prob. 67ECh. C.3 - Prob. 68ECh. C.3 - Prob. 69ECh. C.3 - Prob. 70ECh. C.3 - Prob. 71ECh. C.4 - In an experiment with two factors, A and B, what...Ch. C.4 - If the confidence interval for the difference...Ch. C.4 - Prob. 74ECh. C.4 - Prob. 75ECh. C.4 - Let Factor A have three levels and Factor B have...Ch. C.4 - In Exercises C.77C.83, we have repeated the...Ch. C.4 - Prob. 78ECh. C.4 - In Exercises C.77C.83, we have repeated the...Ch. C.4 - Prob. 80ECh. C.4 - In Exercises C. 77-C.83. we have repeated the...Ch. C.4 - In Exercises C.77C.83, we have repeated the...Ch. C.4 - Prob. 83ECh. C.4 - Household Income. Refer to Exercise C.77. Use the...Ch. C.4 - Prob. 85ECh. C.4 - Prob. 86ECh. C.4 - Highway Signs. Refer to Exercise C.80. Use the...Ch. C.4 - Hospital Stays. Refer to Exercise C.81. Use the...Ch. C.4 - Prob. 89ECh. C.4 - Advertising and Sales. Refer to Exercise C.83. Use...Ch. C.5 - In each of Exercises C.91C.97, identify the...Ch. C.5 - Prob. 92ECh. C.5 - In each of Exercises C.91C.97, identify the...Ch. C.5 - In each of Exercises C.91C.97, identify the...Ch. C.5 - In each of Exercises C.91C.97, identify the...Ch. C.5 - In each of Exercises C.91C.97, identify the...Ch. C.5 - In each of Exercises C.91C.97, identify the...Ch. C.6 - What is the purpose of blocking in a randomized...Ch. C.6 - Prob. 104ECh. C.6 - Prob. 105ECh. C.6 - Prob. 106ECh. C.6 - Answer true or false to the following statements...Ch. C.6 - Prob. 108ECh. C.6 - In randomized block ANOVA, what is meant when we...Ch. C.6 - Prob. 110ECh. C.6 - State the null and alternative hypotheses for a...Ch. C.6 - Identify, give the degrees of freedom for, and...Ch. C.6 - Prob. 113ECh. C.6 - Prob. 114ECh. C.6 - Prob. 115ECh. C.6 - Prob. 116ECh. C.6 - Prob. 117ECh. C.6 - Prob. 118ECh. C.7 - In each of Exercises C.119C.125, we have presented...Ch. C.7 - Prob. 120ECh. C.7 - Prob. 121ECh. C.7 - Prob. 122ECh. C.7 - Prob. 123ECh. C.7 - Prob. 124ECh. C.7 - Prob. 125ECh. C.7 - Prob. 126ECh. C.7 - Prob. 127ECh. C.7 - Prob. 128ECh. C.7 - Prob. 129ECh. C.7 - Prob. 130ECh. C.7 - Prob. 131ECh. C.7 - Penicillin Yields. Refer to Exercise C.121. Use...Ch. C.7 - Prob. 133ECh. C.7 - Battery Lifetimes. Refer to Exercise C.123. Use...Ch. C.7 - Prob. 135ECh. C.7 - Prob. 136ECh. C.7 - Prob. 137ECh. C.7 - Prob. 138ECh. C.7 - Prob. 139ECh. C.7 - Prob. 140ECh. C.7 - Prob. 141ECh. C.7 - Golf Ball Driving Distances. Refer to Exercise...Ch. C.7 - Prob. 143ECh. C.7 - Analgesic Effectiveness. Refer to the analgesic...Ch. C.8 - In a randomized block experiment with treatment...Ch. C.8 - If the confidence interval for the difference...Ch. C.8 - The parameter v for the q-curve in a Tukey...Ch. C.8 - Prob. 148ECh. C.8 - Prob. 149ECh. C.8 - Prob. 150ECh. C.8 - Prob. 151ECh. C.8 - Prob. 152ECh. C.8 - Prob. 153ECh. C.8 - Prob. 154ECh. C.8 - Mileage for Gasoline Brands. Refer to Exercises...Ch. C.8 - Prob. 156ECh. C.8 - Prob. 157ECh. C.8 - Barley Variety Yields. Refer to Exercises C.125...Ch. C.8 - Prob. 159ECh. C.9 - Of which test is the Friedman test a nonparametric...Ch. C.9 - Prob. 161ECh. C.9 - Prob. 162ECh. C.9 - Prob. 163ECh. C.9 - Fill in the following blank: If the null...Ch. C.9 - Prob. 165ECh. C.9 - For a Friedman test to compare the means of six...Ch. C.9 - Prob. 167ECh. C.9 - In each of Exercises C.168C.I74, determine whether...Ch. C.9 - Prob. 169ECh. C.9 - Prob. 170ECh. C.9 - Prob. 171ECh. C.9 - Prob. 172ECh. C.9 - Prob. 173ECh. C.9 - Prob. 174ECh. C.9 - Prob. 175ECh. C.9 - Prob. 176ECh. C.9 - Prob. 177ECh. C.9 - Prob. 178ECh. C.9 - Prob. 179ECh. C.9 - Prob. 180ECh. C.9 - Prob. 181ECh. C - Discuss the differences between a designed...Ch. C - In a complete factorial design, how do you...Ch. C - Prob. 3RPCh. C - Prob. 4RPCh. C - Prob. 5RPCh. C - Prob. 6RPCh. C - Prob. 7RPCh. C - For a two-way ANOVA: a. List and interpret the...Ch. C - Prob. 9RPCh. C - Prob. 10RPCh. C - State the assumptions for a two-way ANOVA and...Ch. C - Prob. 12RPCh. C - Prob. 13RPCh. C - Prob. 14RPCh. C - This problem concerns multiple comparisons. a....Ch. C - Cereal Sales. Refer to Problem 13. Perform...Ch. C - Explain why it is sometimes preferable to employ a...Ch. C - For a randomized block ANOVA: a. List and...Ch. C - Prob. 19RPCh. C - Prob. 20RPCh. C - Prob. 21RPCh. C - Prob. 22RPCh. C - Prob. 23RPCh. C - Prob. 24RPCh. C - Prob. 25RPCh. C - Identify the nonparametric alternative to the...Ch. C - Explain the logic behind the Friedman test.Ch. C - Prob. 28RPCh. C - Prob. 29RPCh. C - Prob. 30RPCh. C - Prob. 31RPCh. C - Prob. 32RPCh. C - Prob. 33RPCh. C - Prob. 34RPCh. C - Prob. 35RPCh. C - Prob. 36RP
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- 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_forwardA study of the number of business lunches that executives in the insurance and banking industries claim as deductible expenses per month was based on random samples and yielded the following results: n1 = 40 ¯x1 = 9.1 s1 = 1.9 n2 = 50 ¯x2 = 8.0 s2 = 2.1. Test the hypothesis that there is no difference between the averages at 5% significance level.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
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