2ñ A consumer preference study compares the effects of three different bottle designs (A, B, and ) on sales of a popular fabric softener,A completely randomized design is employed. Specifically, 15 supermarkets of equal sales potential are selected, and 5 of thesesupermarkets are randomly assigned to each bottle design. The number of bottles sold in 24 hours at each supermarket is recorded.The data obtained are displayed in the following table.Bottle Design Study DataA183128133125142922132926152920The Excel output of a one-way ANOVA of the Bottle Design Study Data is shown below.SUMMARYGroupsDesign AnCount Sum Average Variance7314.64.3DesignDesign CS 149S 12129.81.210.224.2ASOVASource of Variations590.933362.8 12.0dfDetveen GroupsMithin GroupsMS295.44675.2330P-Value7.86E-07F erit3.8852956.46Total653.733314(b) Consider the pairwise differences - MA MC - MA , and ue - An. Find a point estimate of and a Tukey simultaneous 95 percentconfidence interval for each pairwise difference, Interpret the results in practical terms. Which bottle design maximizes mean dailysales? (Round your answers to 2 decimal places. Negative amounts should be indicated by a minus sign.)Point estimate Confidence intervaluB-uAuC -uB:(c) Find a 95 percent confidence interval for each of the treatment means A M and we Interpret these intervals. (Round youranswers to 2 decimal places. Negative amounts should be indicated by a minus sign.)Confidence intervaluC:

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Holt Mcdougal Larson Pre-algebra: Student Edition 2012

1st Edition

ISBN:9780547587776

Author:HOLT MCDOUGAL

Publisher:HOLT MCDOUGAL

Chapter11: Data Analysis And Probability

Section: Chapter Questions

Problem 8CR

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A consumer preference study involving three different bottle designs (A, B, and C) for the jumbo size of a new liquid laundry detergent was carried out using a randomized block experimental design, with supermarkets as blocks. Specifically, four supermarkets were supplied with all three bottle designs, which were priced the same. The following table gives the number of bottles of each design sold in a 24-hour period at each supermarket. If we use these data, SST, SSB, and SSE can be calculated to be 586.1667, 421.6667, and 1.8333, respectively. Results of a Bottle Design Experiment Supermarket, j Bottle Design, i 1 2 3 4 A 16 14 1 6 B 33 30 19 23 C 23 21 8 12 (a&b) Test the null hypothesis H0 that no differences exist between the effects of the bottle designs and supermarkets on mean daily sales. Set α = .05. Can we conclude that the different bottle designs have different effects on mean sales? (Round F to 2 decimal places and SS, MS to 3 decimal places.…
A consumer preference study compares the effects of three different bottle designs (A, B, and C) on sales of a popular fabric softener. A completely randomized design is employed. Specifically, 15 supermarkets of equal sales potential are selected, and 5 of these supermarkets are randomly assigned to each bottle design. The number of bottles sold in 24 hours at each supermarket is recorded. The data obtained are displayed in the following table. Bottle Design Study Data A B C 15 32 20 13 32 26 14 32 24 19 35 26 16 35 25 The Excel output of a one-way ANOVA of the Bottle Design Study Data is shown below. SUMMARY Groups Count Sum Average Variance Design A 5 77 15.4 5.3 Design B 5 166 33.2 2.7 Design C 5 121 24.2 6.2 ANOVA Source of Variation SS df MS F P-Value F crit Between Groups 792.1333 2 396.0667 83.68 8.97E-08 3.88529 Within Groups 56.8 12.0 4.7330…
Patients immobilized for a substantial amount of time can develop deep vein thrombosis (DVT), a blood clot in a leg or pelvis vein. DVT can have serious adverse health effects and can be difficult to diagnose. On its website, drug manufacturer Pfizer reports the outcome of a study looking at the effectiveness of the drug Fragmin (dalteparin) in preventing DVT in immobilized patients. Of the 1518 randomly chosen immobilized patients given Fragmin, 42 experienced a complication from DVT. Of the 1473 randomly chosen immobilized patients given a placebo, 73 experienced a complication from DVT. Compute the proportion (risk) of patients experiencing DVT complications for immobilized patients treated with Fragmin. (Enter the proportion with 4 decimal places. DO NOT enter the percent.)
When a company , while doing research tries to look at 2 or more treatments simultaneously , the type of experimental design is a. Factorial design b. Randomised Block design c. Completely randomized block design d. Latin square design
Three different assembly methods have been proposed for a new product. A completely randomized experimental design was chosen to determine which assembly method results in the greatest number of parts produced per hour, and 30 workers were randomly selected and assigned to use one of the proposed methods. The number of units produced by each worker follows. Method A B C 96 92 99 72 99 94 94 92 88 99 56 66 74 78 60 90 92 76 100 85 85 87 72 72 91 91 88 107 83 72 #1) Use these data and test to see whether the mean number of parts produced is the same with each method. Use ? = 0.05. State the null and alternative hypotheses: A) H0: Not all the population means are equal.Ha: ?A = ?B = ?C B) H0: ?A = ?B = ?CHa: ?A ≠ ?B ≠ ?C C) H0: At least two of the population means are equal.Ha: At least two of the population means are different. D) H0: ?A = ?B = ?CHa: Not all the population means are equal. E) H0: ?A ≠ ?B ≠ ?CHa: ?A = ?B = ?C #2) Find the…
A study in Sweden looked at former elite soccer players, people who had played soccer but not at the elite level, and people of the same age who did not play soccer. Here is a two-way table that classifies these subjects by whether or not they had arthritis of the hip or knee by their mid-fifties: Elite Non-elite Did not play Arthritis 10 9 24 No arthritis 61 206 548 Based on this study, you can conclude that
An experiment was conducted to study the life (in hours) of two different brands of batteries in threedifferent devices (radio, camera, and portable DVD player). A completely randomized two-factorexperiment was conducted, and the following data resulted.Brand Deviceof Battery Radio Camera DVD PlayerA 8.6 7.9 5.48.2 8.4 5.7B 9.4 8.5 5.88.8 8.9 5.9(a) Analyze the data and draw conclusions, using α = 0.05. (b) Investigate model adequacy by plotting the residuals. (c) Which brand of batteries would you recommend?
The International Air Transport Association surveys business travelers to develop quality ratings for transatlantic gateway airports. The maximum possible rating is 10. Suppose a simple random sample of 50 business travelers is selected and each traveler is asked to provide a rating for the Miami International Airport. The ratings obtained from the sample of 50 business travelers in the DATAfile Miami. DATAfile Miami. Rating 6 4 6 8 7 7 6 3 3 8 10 4 8 7 8 7 5 9 5 8 4 3 8 5 5 4 4 4 8 4 5 6 2 5 9 9 8 4 8 9 9 5 9 7 8 3 10 8 9 6 a) What is the random variable in this narrative? b) Develop a 95% confidence interval estimate of the population mean rating for Miami.
A consumer products testing group is evaluating two competing brands of tires, Brand 1 and Brand 2. Though the two brands have been comparable in the past, some technological advances were recently made in the Brand 2 manufacturing process, and the consumer group is testing to see if Brand 2 will outperform Brand 1. Tread wear can vary considerably depending on the type of car, and the group is trying to eliminate this effect by installing the two brands on the same random sample of 12 cars. In particular, each car has one tire of each brand on its front wheels, with half of the cars chosen at random to have Brand 1 on the left front wheel, and the rest to have Brand 2 there. After all of the cars are driven over the standard test course for 20,000 miles, the amount of tread wear (in inches) is recorded, as shown in Table 1. Car Brand 1 Brand 2 Difference(Brand 1 - Brand 2) 1 0.366 0.319 0.047 2 0.364 0.307 0.057 3 0.316 0.359 -0.043 4 0.277 0.298 -0.021 5…
A consumer products testing group is evaluating two competing brands of tires, Brand 1 and Brand 2. Though the two brands have been comparable in the past, some technological advances were recently made in the Brand 2 manufacturing process, and the consumer group is testing to see if Brand 2 will outperform Brand 1. Tread wear can vary considerably depending on the type of car, and the group is trying to eliminate this effect by installing the two brands on the same random sample of 12 cars. In particular, each car has one tire of each brand on its front wheels, with half of the cars chosen at random to have Brand 1 on the left front wheel, and the rest to have Brand 2 there. After all of the cars are driven over the standard test course for 20,000 miles, the amount of tread wear (in inches) is recorded, as shown in the table below. Car 1 2 3 4 5 6 7 8 9 10 11 12 Brand 1 0.35 0.51 0.53 0.43 0.37 0.64 0.50…
In Colorado, there is a large group of deer that spend their summer months in a region on one side of a highway and survive the winter months in a lower region on the other side. To determine if the highway has disturbed deer migration to the winter feeding area, the following data were gathered on a random sample of 10 wilderness districts in the winter feeding area. Row B represents the average January deer count for a 5-year period before the highway was built, and row A represents the average January deer count for a 5-year period after the highway was built. The highway department claims that the January population has not changed. Test this claim against the claim that the January population has dropped. Use a 5% level of significance. Units used in the table are hundreds of deer. (Let d = B − A.) Wilderness District 1 2 3 4 5 6 7 8 9 10 B: Before highway 10.1 7.2 12.9 5.6 17.4 9.9 20.5 16.2 18.9 11.6 A: After highway 9.3 8.4 10.2 4.1 4.0 7.1 15.2 8.3 12.2 7.3 What…
The International Air Transport Association surveys business travelers to develop quality ratings for transatlantic gateway airports. The maximum possible rating is 10. Suppose a simple random sample of business travelers is selected and each traveler is asked to provide a rating for the Miami International Airport. The ratings obtained from the sample of business travelers follow. 3 7 8 9 10 10 10 9 9 9 9 8 5 6 7 7 9 8 10 9 8 7 6 8 7 9 5 3 9 10 10 9 9 8 9 8 6 10 8 4 7 3 10 8 9 8 10 10 8 8 Develop a confidence interval estimate of the population mean rating for Miami. Round your answers to two decimal places.

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