Question

In: Statistics and Probability

The retailing manager of a supermarket chain wants to determine whether product location has any effect...

The retailing manager of a supermarket chain wants to determine whether product location has any effect on the sale of pet toys. Three different aisle locations are considered: front, middle, and rear. A random sample of 18 stores is selected with 6 stores randomly assigned to each aisle location. The size of the display area and price of the product are constant for all stores. At the end of a 1-month trial period, the sales volumes (in thousands of dollars) of the product in each store were as follows:

                   Aisle Location

Front              Middle                  Rear

8.8                    3.4                       4.6

7.4                    2.6                       6.0

5.6                    2.2                       4.0

6.4                    1.6                       2.8

5.2                    2.0                       2.2

4.2                    1.8                       2.8

  1. At the 0.05 level of significance, is there evidence of a significant difference in mean sales among the various aisle locations?
  1. What should the retailing manager conclude?

Solutions

Expert Solution


Related Solutions

The manager of a supermarket chain wants to determine if the location of the product -...
The manager of a supermarket chain wants to determine if the location of the product - where it is to be displayed - has any effect on the sale of a pet toys. Three different aisle locations are to be considered: the front of the aisle, the middle of the aisle, or the rear-aisle. Twenty-one stores are randomly selected, with 7 stores randomly assigned to sell the pet toy at the front-aisle, the middle-aisle, and the rear-aisle. Front Middle Rear...
A researcher wants to determine whether or not a given drug has any effect on the...
A researcher wants to determine whether or not a given drug has any effect on the score of a human subject performing a task of ESP sensitivity. He randomly assigns his subjects to one of two groups. 900 subjects in group 1 (treatment group) receive the drug. In contrast, 1000 subjects in group 2 (control group) receive a placebo. For the drug group, the mean score on the ESP test was 15, SD=4. For the no-drug group, the mean =9,...
The marketing manager of a large supermarket chain faced the business problem of determining the effect...
The marketing manager of a large supermarket chain faced the business problem of determining the effect on the sales of pet food of shelf space and whether the product was placed at the front ​(equals​1) or back ​(equals ​0) of the aisle. Data are collected from a random sample of 12​ equal-sized stores and are given below. Complete parts​ (a) through​ (g). For parts​ (a) through​ (d), do not include an interaction term. Store Shelf_Space_(Feet) Location Weekly_Sales_($) 1 5 Back...
A large, U.S. based supermarket chain wants to purchase a medium-sized European supermarket chain based in...
A large, U.S. based supermarket chain wants to purchase a medium-sized European supermarket chain based in London. The U.S. supermarket has reached a point of saturation in the United States and they are looking for ways to grow. The U.S. based supermarket chain pursues a cost-leadership strategy in the United States and offers customers value through low prices and a vast variety of products. The U.S. based supermarket currently has a global market share of 2% and earns approximately 1.78%...
The manager of a lightbulb factory wants to determine if there is any difference in the...
The manager of a lightbulb factory wants to determine if there is any difference in the mean life expectancy of the bulbs manufactured on two different types of machines. A random sample of 4 lightbulbs from machine I indicates a sample mean of 352 hours and a sample standard deviation of 98 ​hours, and a similar sample of 4 lightbulbs from machine II indicates a sample mean of 364 hours and a sample standard deviation of 125 hours. Complete parts​...
A cognitive psychologist studying motivation wants to determine if type of music has any effect on...
A cognitive psychologist studying motivation wants to determine if type of music has any effect on the number of days (in 1 month) participants visit a gym. A total of three gyms are selected that have different musical formats. 8 gym members are randomly sampled from each gym, and their gym attendance is monitored for 30 days. Complete the following ANOVA summary table, and use a significance level of α=0.10α=0.10. Source SS df MS F P Between 7.16 3.733 Within...
A cognitive psychologist studying motivation wants to determine if type of music has any effect on...
A cognitive psychologist studying motivation wants to determine if type of music has any effect on the number of days (in 1 month) participants visit a gym. A total of three gyms are selected that have different musical formats. 14 gym members are randomly sampled from each gym, and their gym attendance is monitored for 30 days. Complete the following ANOVA summary table, and use a significance level of α=0.05. Use the =FDIST(F, dftreatment, dferror) function in Excel to locate...
A study was conducted to determine whether an expectant mother’s cigarette smoking has any effect on...
A study was conducted to determine whether an expectant mother’s cigarette smoking has any effect on the bone mineral content of her otherwise healthy child. A sample of 24 newborns whose mothers smoked during pregnancy has mean bone mineral content (x_1 ) ̅=0.098 g/cm and s_1=0.026 g/cm; a sample of 38 infants whose mothers did not smoke has mean (x_2 ) ̅=0.095 g/cm, s_2=0.025 g/cm. Assume that the underlying population variances are equal. Are the two samples of data paired...
A study was conducted to determine whether an expectant mother’s cigarette smoking has any effect on...
A study was conducted to determine whether an expectant mother’s cigarette smoking has any effect on the bone mineral content of her otherwise healthy child. A sample of 90 newborns whose mothers smoked during pregnancy has mean bone mineral content 0.097 g/cm and standard deviation 0.027 g/cm; a sample of 160 infants whose mothers did not smoke has mean 0.090 g/cm and standard deviation 0.025 g/cm. Assume that the underlying population variances are equal. Conduct the test at the 0.05...
1A) The manager of an assembly process wants to determine whether or not the number of...
1A) The manager of an assembly process wants to determine whether or not the number of defective articles manufactured depends on the day of the week the articles are produced. She collected the following information. Is there sufficient evidence to reject the hypothesis that the number of defective articles is independent of the day of the week on which they are produced? Use α = 0.05. Day of Week M Tu W Th F Nondefective 90 93 86 91 88...
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT