Exam 16: Appendix 16 A: Analysis of Variance

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Which procedure(s) can be used to test the difference between two means when the population variance is unknown?

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E

A grocery store manager decided to investigate whether slower moving items would sell quicker if these items were displayed at the end of the grocery store aisles or with a special florescent shelf tag displaying the price. The manager is interested in these nonprice reduction promotions because the store has only a small markup on these items. The manager decides to use end of aisle displays, shelf markers, and no special markers for four weeks each measuring unit sales at the end of each week. The following sales patterns were observed: A grocery store manager decided to investigate whether slower moving items would sell quicker if these items were displayed at the end of the grocery store aisles or with a special florescent shelf tag displaying the price. The manager is interested in these nonprice reduction promotions because the store has only a small markup on these items. The manager decides to use end of aisle displays, shelf markers, and no special markers for four weeks each measuring unit sales at the end of each week. The following sales patterns were observed:     (Use the above information to answer the following three questions.) -How many degrees of freedom does the denominator of the F ratio in the ANOVA table have? (Use the above information to answer the following three questions.) -How many degrees of freedom does the denominator of the F ratio in the ANOVA table have?

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C

Which of the following is NOT one of the reasons one would use a factorial experimental design?

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A

Use the following situation to answer the next seven questions. A researcher is interested in studying the effect of geographic location of grocery stores on the prices they charge for various food items. A typical "market basket" is selected and the researcher obtains data on the total basket price from 15 randomly selected stores as shown below. Note that 5 of the stores were inner city stores, 5 suburban stores and 5 campus stores. Use the following situation to answer the next seven questions. A researcher is interested in studying the effect of geographic location of grocery stores on the prices they charge for various food items. A typical market basket is selected and the researcher obtains data on the total basket price from 15 randomly selected stores as shown below. Note that 5 of the stores were inner city stores, 5 suburban stores and 5 campus stores.    -The degrees of freedom associated with the within-group sum-of-squares in the above problem is -The degrees of freedom associated with the within-group sum-of-squares in the above problem is

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In an experiment testing the effectiveness of five different advertisements for a new product in five separate markets, sales of the new product are recorded at the end of each week for eight weeks. Analysis of variance is used to investigate whether the advertisements are equally successful. -If the sum of squares for the error term in this example is 1,050, what is the calculated F ratio?

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(Use the following information to answer the next six questions.) A manufacturer is interested in selecting one of three companies to deliver (by truck) its product to its distributors and wholesalers in a certain area. Each of the companies has different operating procedures and uses different routes. Assuming that certain minimum standards for delivery time are achieved, the manufacturer wants to select the company with the lowest unit shipping cost. In addition, the manufacturer believes that the type of packaging used for the product may have an impact on shipping cost and is considering two types of packaging. It is unknown whether or not any of the three companies under consideration is better equipped to handle either type of packaging. After using each of the companies for five deliveries of the product with each of the types of packaging (thus, each company made a total of 10 deliveries, with all deliveries under similar circumstances), the shipping costs per unit were calculated and are shown below: (Use the following information to answer the next six questions.) A manufacturer is interested in selecting one of three companies to deliver (by truck) its product to its distributors and wholesalers in a certain area. Each of the companies has different operating procedures and uses different routes. Assuming that certain minimum standards for delivery time are achieved, the manufacturer wants to select the company with the lowest unit shipping cost. In addition, the manufacturer believes that the type of packaging used for the product may have an impact on shipping cost and is considering two types of packaging. It is unknown whether or not any of the three companies under consideration is better equipped to handle either type of packaging. After using each of the companies for five deliveries of the product with each of the types of packaging (thus, each company made a total of 10 deliveries, with all deliveries under similar circumstances), the shipping costs per unit were calculated and are shown below:    -The degrees of freedom associated with the error sum of squares in the above problem is(are) -The degrees of freedom associated with the error sum of squares in the above problem is(are)

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(Use the following information to answer the next six questions.) A manufacturer is interested in selecting one of three companies to deliver (by truck) its product to its distributors and wholesalers in a certain area. Each of the companies has different operating procedures and uses different routes. Assuming that certain minimum standards for delivery time are achieved, the manufacturer wants to select the company with the lowest unit shipping cost. In addition, the manufacturer believes that the type of packaging used for the product may have an impact on shipping cost and is considering two types of packaging. It is unknown whether or not any of the three companies under consideration is better equipped to handle either type of packaging. After using each of the companies for five deliveries of the product with each of the types of packaging (thus, each company made a total of 10 deliveries, with all deliveries under similar circumstances), the shipping costs per unit were calculated and are shown below: (Use the following information to answer the next six questions.) A manufacturer is interested in selecting one of three companies to deliver (by truck) its product to its distributors and wholesalers in a certain area. Each of the companies has different operating procedures and uses different routes. Assuming that certain minimum standards for delivery time are achieved, the manufacturer wants to select the company with the lowest unit shipping cost. In addition, the manufacturer believes that the type of packaging used for the product may have an impact on shipping cost and is considering two types of packaging. It is unknown whether or not any of the three companies under consideration is better equipped to handle either type of packaging. After using each of the companies for five deliveries of the product with each of the types of packaging (thus, each company made a total of 10 deliveries, with all deliveries under similar circumstances), the shipping costs per unit were calculated and are shown below:    -Which of the following is the sum of squares for package design in the above problem? -Which of the following is the sum of squares for package design in the above problem?

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Which of the following statements pertaining to randomized block designs is false?

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When there are two extraneous factors that can cause serious distortion of the results, the preferred experimental design is

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When there is one source of extraneous variation distorting the results of an experiment, the preferred experimental design is

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Use the following situation to answer the next seven questions. A researcher is interested in studying the effect of geographic location of grocery stores on the prices they charge for various food items. A typical "market basket" is selected and the researcher obtains data on the total basket price from 15 randomly selected stores as shown below. Note that 5 of the stores were inner city stores, 5 suburban stores and 5 campus stores. Use the following situation to answer the next seven questions. A researcher is interested in studying the effect of geographic location of grocery stores on the prices they charge for various food items. A typical market basket is selected and the researcher obtains data on the total basket price from 15 randomly selected stores as shown below. Note that 5 of the stores were inner city stores, 5 suburban stores and 5 campus stores.    -The degrees of freedom associated with the total sum-of-squares in the above problem is -The degrees of freedom associated with the total sum-of-squares in the above problem is

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Which of the following is NOT an assumption of the randomized block design?

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Use the following situation to answer the next seven questions. A researcher is interested in studying the effect of geographic location of grocery stores on the prices they charge for various food items. A typical "market basket" is selected and the researcher obtains data on the total basket price from 15 randomly selected stores as shown below. Note that 5 of the stores were inner city stores, 5 suburban stores and 5 campus stores. Use the following situation to answer the next seven questions. A researcher is interested in studying the effect of geographic location of grocery stores on the prices they charge for various food items. A typical market basket is selected and the researcher obtains data on the total basket price from 15 randomly selected stores as shown below. Note that 5 of the stores were inner city stores, 5 suburban stores and 5 campus stores.    -The between-group sum-of-squares in the above problem is calculated as -The between-group sum-of-squares in the above problem is calculated as

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(Use the following information to answer the next six questions.) A manufacturer is interested in selecting one of three companies to deliver (by truck) its product to its distributors and wholesalers in a certain area. Each of the companies has different operating procedures and uses different routes. Assuming that certain minimum standards for delivery time are achieved, the manufacturer wants to select the company with the lowest unit shipping cost. In addition, the manufacturer believes that the type of packaging used for the product may have an impact on shipping cost and is considering two types of packaging. It is unknown whether or not any of the three companies under consideration is better equipped to handle either type of packaging. After using each of the companies for five deliveries of the product with each of the types of packaging (thus, each company made a total of 10 deliveries, with all deliveries under similar circumstances), the shipping costs per unit were calculated and are shown below: (Use the following information to answer the next six questions.) A manufacturer is interested in selecting one of three companies to deliver (by truck) its product to its distributors and wholesalers in a certain area. Each of the companies has different operating procedures and uses different routes. Assuming that certain minimum standards for delivery time are achieved, the manufacturer wants to select the company with the lowest unit shipping cost. In addition, the manufacturer believes that the type of packaging used for the product may have an impact on shipping cost and is considering two types of packaging. It is unknown whether or not any of the three companies under consideration is better equipped to handle either type of packaging. After using each of the companies for five deliveries of the product with each of the types of packaging (thus, each company made a total of 10 deliveries, with all deliveries under similar circumstances), the shipping costs per unit were calculated and are shown below:    -The sum of squares for the interaction term in the above problem can be calculated as -The sum of squares for the interaction term in the above problem can be calculated as

(Multiple Choice)
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Use the following situation to answer the next seven questions. A researcher is interested in studying the effect of geographic location of grocery stores on the prices they charge for various food items. A typical "market basket" is selected and the researcher obtains data on the total basket price from 15 randomly selected stores as shown below. Note that 5 of the stores were inner city stores, 5 suburban stores and 5 campus stores. Use the following situation to answer the next seven questions. A researcher is interested in studying the effect of geographic location of grocery stores on the prices they charge for various food items. A typical market basket is selected and the researcher obtains data on the total basket price from 15 randomly selected stores as shown below. Note that 5 of the stores were inner city stores, 5 suburban stores and 5 campus stores.    -The total sum-of-squares in the above problem is calculated as -The total sum-of-squares in the above problem is calculated as

(Multiple Choice)
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In an experiment testing the effectiveness of five different advertisements for a new product in five separate markets, sales of the new product are recorded at the end of each week for eight weeks. Analysis of variance is used to investigate whether the advertisements are equally successful. -If the sum of squares for the factor "Advertisements" is 168, the mean square for this variable is

(Multiple Choice)
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Use the following situation to answer the next seven questions. A researcher is interested in studying the effect of geographic location of grocery stores on the prices they charge for various food items. A typical "market basket" is selected and the researcher obtains data on the total basket price from 15 randomly selected stores as shown below. Note that 5 of the stores were inner city stores, 5 suburban stores and 5 campus stores. Use the following situation to answer the next seven questions. A researcher is interested in studying the effect of geographic location of grocery stores on the prices they charge for various food items. A typical market basket is selected and the researcher obtains data on the total basket price from 15 randomly selected stores as shown below. Note that 5 of the stores were inner city stores, 5 suburban stores and 5 campus stores.    -The degrees of freedom associated with the between-group sum-of-squares in the above problem is -The degrees of freedom associated with the between-group sum-of-squares in the above problem is

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Which of the following statements regarding factorial designs is FALSE? A factorial design

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A grocery store manager decided to investigate whether slower moving items would sell quicker if these items were displayed at the end of the grocery store aisles or with a special florescent shelf tag displaying the price. The manager is interested in these nonprice reduction promotions because the store has only a small markup on these items. The manager decides to use end of aisle displays, shelf markers, and no special markers for four weeks each measuring unit sales at the end of each week. The following sales patterns were observed: A grocery store manager decided to investigate whether slower moving items would sell quicker if these items were displayed at the end of the grocery store aisles or with a special florescent shelf tag displaying the price. The manager is interested in these nonprice reduction promotions because the store has only a small markup on these items. The manager decides to use end of aisle displays, shelf markers, and no special markers for four weeks each measuring unit sales at the end of each week. The following sales patterns were observed:     (Use the above information to answer the following three questions.) -What is the within groups (error) sum of squares? (Use the above information to answer the following three questions.) -What is the within groups (error) sum of squares?

(Multiple Choice)
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In an experiment testing the effectiveness of five different advertisements for a new product in five separate markets, sales of the new product are recorded at the end of each week for eight weeks. Analysis of variance is used to investigate whether the advertisements are equally successful. -The total number of degrees of freedom for the design is

(Multiple Choice)
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