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- What is meant by the sample space of an experiment?For a two-way ANOVA with Factor A at three levels and Factor B at two levels, construct an interaction plot to illustrate a. a Factor A main effect, but no Factor B main effect and no AB interaction effect. b. a Factor A main effect, a Factor B main effect, but no AB interaction effect. c. an AB interaction effect.A statistical program is recommended. Jensen Tire & Auto is in the process of deciding whether to purchase a maintenance contract for its new computer wheel alignment and balancing machine. Managers feel that maintenance expense should be related to usage, and they collected the following information on weekly usage (hours) and annual maintenance expense (in hundreds of dollars). Weekly Usage(hours) AnnualMaintenanceExpense 13 17.0 10 22.0 20 30.0 28 37.0 32 47.0 17 30.5 24 32.5 31 39.0 40 51.5 38 40.0 #1) Develop the estimated regression equation that could be used to predict the annual maintenance expense (in hundreds of dollars) given the weekly usage (in hours). (Round your numerical values to two decimal places.) #2) The expected expense of a machine being used 34 hours per week is $ hundred.
- The 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…The following cross-table is obtained in a study that examines the relationship between the Department of Education and Competency types. Accordingly, test whether there is a relationship between the two variables at the 10% significance level.A senior accounting major at Midsouth State University has job offers from four CPA firms. To explore the offers further, she asked a sample of recent trainees from each firm: How many months did you work before receiving a raise in salary? Using the following ANOVA table, is there a difference in the mean number of months before receiving a raise among the four firms? Use the 0.05 level of significance. Analysis of Variance Source df SS MS F p Factor 3 39.56 13.19 9.77 0.001 Error 15 20.26 1.35 Total 18 59.82 a. What are the null and alternate hypotheses? b. What is the test statistic? (Round your answer to 2 decimal places.) c. What is the p-value? (Round your answer to 3 decimal places.) d. What is your decision regarding the null hypothesis? e. Interpret the result.
- A senior accounting major at Midsouth State University has job offers from four CPA firms. To explore the offers further, she asked a sample of recent trainees from each firm: How many months did you work before receiving a raise in salary? Using the following ANOVA table, is there a difference in the mean number of months before receiving a raise among the four firms? Use the 0.05 level of significance. Analysis of Variance Source df SS MS F p Factor 3 39.56 13.19 9.77 0.001 Error 15 20.26 1.35 Total 18 59.82 b. What is the test statistic? (Round your answer to 2 decimal places.) c. What is the p-value? (Round your answer to 3 decimal places.)A coffee company uses a data-based approach to improving the quality and customer satisfaction of its products. When survey data indicated that the coffee company needed to improve its package-sealing process, an experiment was conducted to determine the factors in the bag-sealing equipment that might be affecting the ease of opening the bag without tearing the inner liner of the bag. One factor that could affect the rating of the ability of the bag to resist tears was the plate gap on the bag-sealing equipment. Data were collected on 19 bags in which the plate gap was varied. 1) Assuming a linear relationship, use the least-squares method to find the regression coefficients b0 and b1. 2) Interpret the meaning of the slope, b1, in this problem. Choose the correct answer below. A. For each increase of one in the tear rating, the plate gap is expected to increase by b1 units. B. The approximate tear rating when the plate gap is 0 units is b1. C. The…A coffee company uses a data-based approach to improving the quality and customer satisfaction of its products. When survey data indicated that the coffee company needed to improve its package-sealing process, an experiment was conducted to determine the factors in the bag-sealing equipment that might be affecting the ease of opening the bag without tearing the inner liner of the bag. One factor that could affect the rating of the ability of the bag to resist tears was the plate gap on the bag-sealing equipment. Data were collected on 19 bags in which the plate gap was varied. Assuming a linear relationship, use the least-squares method to find the regression coefficients b0 and b1. b0 = b1 =
- A coffee company uses a data-based approach to improving the quality and customer satisfaction of its products. When survey data indicated that the coffee company needed to improve its package-sealing process, an experiment was conducted to determine the factors in the bag-sealing equipment that might be affecting the ease of opening the bag without tearing the inner liner of the bag. One factor that could affect the rating of the ability of the bag to resist tears was the plate gap on the bag-sealing equipment. Data were collected on 19 bags in which the plate gap was varied. A) Assuming a linear relationship, use the least-squares method to find the regression coefficients b0 and b1. Interpret the meaning of the slope, b1,in this problem. Choose the correct answer below. A.For each increase of one in the tear rating, the plate gap is expected to increase by b1 units. B. The approximate tear rating when the plate gap is 0 units is b1. C. The approximate…A senior accounting major at Midsouth State University has job offers from four CPA firms. To explore the offers further, she asked a sample of recent trainees from each firm: How many months did you work before receiving a raise in salary? Using the following ANOVA table, is there a difference in the mean number of months before receiving a raise among the four firms? Use the 0.05 level of significance. Analysis of Variance Source df SS MS F p Factor 3 36.14 12.05 8.37 0.002 Error 13 18.74 1.44 Total 16 54.88 b. What is the test statistic? (Round your answer to 2 decimal places.) c. What is the p-value? (Round your answer to 3 decimal places.) d. What is your decision regarding the null hypothesis?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…