In each of Exercises C.11–C.17 identify the following:
- a. the response, variable
- b. the factors
- c. the levels of each factor
- d. the number of treatment combinations
- e. the experimental units
- f. the number of observations for each treatment combination
- g. the experimental factors, if any
- h. the classification factors, if any
- i. whether the study is a designed experiment or an observational study
C.17 Advertising and Sales. A chain of convenience stores wanted to test three different advertising policies:
Policy 1: No advertising
Policy 2: Advertise in neighborhoods with circulars
Policy 3: Use circulars and advertise in newspapers
Suppose that 18 stores were obtained by randomly selecting six stores from each of three location types: urban, suburban, and rural. Then within each location type, the six stores were randomly divided into three groups of two stores. Each group of two stores used one of the three policies. Following the implementation of the policies, sales figures were obtained for each of the stores during a 1-month period. The figures are displayed, in thousands of dollars, in the following table.
Want to see the full answer?
Check out a sample textbook solutionChapter C Solutions
Introductory Statistics, Books a la Carte Plus NEW MyLab Statistics with Pearson eText -- Access Card Package (10th Edition)
- Sulfite is a drug used to treat asthma. In a sample of 400 patients treated at ridge hospital with sulfite, 26% of them said they were quickly relieved. Use this information to answer the following questions: I. What is the variable in the study? ii. What is the population? iii. What is the sample size?arrow_forward. Is using meditation to relax and clear the mind a natural way to treat insomnia? Design an experiment to investigate this question. Assume that you have 20 individuals who suffer from insomnia available to participate in the study. At the end of two months, you will ask subjects to rate their sleep quality.arrow_forwarddesigned. Use the following data to test for any significant effect due to the loading and unloading method, the type of ride, and interaction. Use a = .05. Factor A is method of loading and unloading; Factor B is the type of ride. Type of Ride Screaming Demon 50 46 51 51 47 Set up the ANOVA table (to whole number, but p-value to 2 decimals and F value to 1 decimal, if necessary). Factor A Factor B Interaction Error Method 1 Total Roller Coaster Method 2 Source of Variation Sum of Squares Degrees of Freedom Mean Square 49 51 50 52 The p-value for Factor A is Select your answer 53 45 55 00000 0000 Log Flume F p-valuearrow_forward
- Which research design studies only people who are initially free of the disease of interest? Explain how this study design is different from the rest of the research designs a. Case control b. Cohort c. Cross sectional d. Experimentalarrow_forwardDescribe as specifically as possible the following for this study: 1.Observational Unit 2.Experimental Unit 3.Variables - Specify which are quantitative and which are categorical and furtherclassify each as Nominal, Ordinal, Interval, or Ratio. Specify which are explanatoryand which are response variables.arrow_forward3. The following data are from an independent-measures experiment comparing two treatment conditions: Treatment 1 6 13 8 4 13 4 11 5 Treatment 2 19 9 18 10 12 14 19 11 a. Which variables are described in this scenario and what are their scales of measurement? b. Which test should you use?arrow_forward
- . A new drug for pain relief is being tested within a given palliative care population. The new drug is being compared to an already approved pain relief drug that is commonly used in providing palliative care to patients who experience chronic severe pain. Assume the patients are asked to rate the pain on a scale from 1 to 10, and the data presented below was obtained from a small study designed to compare the effectiveness of the two drugs. Set up and interpret the results of a Mann-Whitney Utest with an alpha of .05. Pain Rating as Reported by Patients Old Drug13346 New Drug12337 Old Drug New Drug Total Sample (Ordered Smallest to Largest) Ranks Old Drug New Drug Old Drug New Drug…arrow_forwardThe following data represent the means for each treatment condition in a two factor experiment. Note that one mean is not given. What value for the missing mean would result in no AxB interaction? B1 B2 A1 15 20 A2 5 ? Select one: a. 10 b. 5 c. 25 d. 20arrow_forwardA company wishes to evaluate the effect of package design on one of its products, a certain brand of cereal. The four package designs are to be tested in different stores throughout a large city. There are 20 stores available for the study. The amount of cereal sold is known to vary depending on the size of the stores. The 20 stores are divided into five groups of four stores each by size. The following sales figures ($1000s) were obtained after a 1-month period. Stores Design A Design B Design C Design D 1 40 33 37 38 2 45 27 32 40 3 43 31 30 41 4 44 38 40 42 5 56 45 49 42 Enter the above data into a suitable software and then conduct an analysis of variance without blocking to test whether there is evidence of a significant difference in mean sales of different package designs. Use alpha = 0.01. What are the mean squares for error? Please provide your answer to the nearest two decimal places.arrow_forward
- A company wishes to evaluate the effect of package design on one of its products, a certain brand of cereal. The four package designs are to be tested in different stores throughout a large city. There are 20 stores available for the study. The amount of cereal sold is known to vary depending on the size of the stores. The 20 stores are divided into five groups of four stores each by size. The following sales figures ($1000s) were obtained after a 1-month period. Stores Design A Design B Design C Design D 1 40 33 37 38 2 45 27 32 40 3 43 31 30 41 4 44 38 40 42 5 56 45 49 42 Enter the above data into a suitable software and then conduct an analysis of variance without blocking to test whether there is evidence of a significant difference in mean sales of different package designs. Use alpha=0.01. What is the conclusion for the null hypothesis that all treatment means are equal? O Do not reject HO. There is sufficient evidence to conclude that the average sales for all stores are not…arrow_forwardA company wishes to evaluate the effect of package design on one of its products, a certain brand of cereal. The four package designs are to be tested in different stores throughout a large city. There are 20 stores available for the study. The amount of cereal sold is known to vary depending on the size of the stores. The 20 stores are divided into five groups of four stores each by size. The following sales figures ($1000s) were obtained after a 1-month period. Stores Design A Design B Design C Design D 1 40 33 37 38 2 45 27 32 40 3 43 31 30 41 4 44 38 40 42 5 56 45 49 42 Enter the above data into a suitable software and then conduct an analysis of variance with blocking (analyze this data as a complete block design) to test further whether there is evidence of a significant difference in mean sales of different package designs. Use alpha=0.01. What are the sums of squares for Blocks? Provide your answer to the nearest 2 decimal places.arrow_forwardA company wishes to evaluate the effect of package design on one of its products, a certain brand of cereal. The four package designs are to be tested in different stores throughout a large city. There are 20 stores available for the study. The amount of cereal sold is known to vary depending on the size of the stores. The 20 stores are divided into five groups of four stores each by size. The following sales figures ($1000s) were obtained after a 1-month period. Stores Design A Design B Design C Design D 1 40 33 37 38 2 45 27 32 40 3 43 31 30 41 4 44 38 40 42 5 56 45 49 42 Enter the above data into a suitable software and then conduct an analysis of variance without blocking to test whether there is evidence of a significant difference in me sales different packa designs. Use alpha = 0.01. What are the sums of squares for treatments? Please provide your answer to the nearest two decimal places.arrow_forward
- Glencoe Algebra 1, Student Edition, 9780079039897...AlgebraISBN:9780079039897Author:CarterPublisher:McGraw Hill