Question

In: Statistics and Probability

1. The Kenton Food company wished to test four different package designs for a new breakfast...

1. The Kenton Food company wished to test four different package designs for a new breakfast cereal. Twenty stores, with approximately equal sales volumes, were selected as the experimental units. each store was randomly assigned one of the package designs, with each package assigned to five stores. A fire occurred in one store during the study period, so this store had to be dropped from the study. Hence, one of the designs was tested in only 4 stores. The stores were chosen to be comparable in location and sale volume. Other relevant conditions that could affect sales, such as price, amount and location of shelf space, and special promotional efforts, were kept the same for all stores in the experiment.

Sales, in number of cases, were observed for the study period, and the results are recorded as follows.

Package Design #1: 11, 17, 16, 14, 15.

Package Design #2: 12, 10, 15, 19, 11.

Package Design #3: 23, 20, 18, 17, (fire)

Package Design #4: 27, 33, 22, 26, 28

Analyze the data and solve the hypothesis testing problem about equivalence of the package designs. Use α = .05.

Solutions

Expert Solution


Related Solutions

The Kenton Food Company wished to test four different package designs for a new breakfast cereal....
The Kenton Food Company wished to test four different package designs for a new breakfast cereal. Twenty stores, with approximately equal sales volumes, were selected as the experimental units. Each store was randomly assigned one of the package designs, with each package design assigned to five stores. A fire occurred in one store during the study period, so this store had to be dropped from the study. Hence, one of the designs were tested in only four stores. The stores...
ABC Company is preparing to launch a new product. They are considering three different product designs...
ABC Company is preparing to launch a new product. They are considering three different product designs and will select only the one product that yields the highest revenue. A feasibility study suggest that product development, regardless of which of the three products is selected, will cost $1,250,000 initially, which includes all design, testing, set-up and initial operating costs. Annual operating cost, once the selected product is placed into production, will cost $125,000 and the net revenue for the first year...
Four different designs for a digital computer circuit are being studied to compare the amount of...
Four different designs for a digital computer circuit are being studied to compare the amount of noise present. The following data have been obtained: Circuit Design Noise Observed 1 19 20 19 30 8 2 80 61 73 56 80 3 47 26 25 35 50 4 95 46 83 78 97 a) Identify the following:  Factor(s):  Treatment(s):  Response: b) Are the data normally distributed? c) Which of the following tests would you use if you wanted...
Four different designs for a digital computer circuit are being studied to compare the amount of...
Four different designs for a digital computer circuit are being studied to compare the amount of noise present. The following data were obtained using a completely randomized design:          Circuit design                                            Noise observed 1 39 20 19 30 8 2 80 61 73 56 80 3 47 26 25 35 50 4 95 56 83 78 97 Calculate by hand (using formulas and a calculator) the sums of squares for this experiment and then construct the ANOVA table. Show your work. Using...
A Chi-square test for goodness of fit is used to evaluate preferences for 8 different designs...
A Chi-square test for goodness of fit is used to evaluate preferences for 8 different designs of a new automobile. With a sample of n = 500 the researcher obtained a Chi-square statistic of Chi2 = 15.81. What is the correct statistical decision for this outcome (assume p <.05)? A. Reject the null hypothesis and conclude that there is no significant difference in preferences. B. Reject the null hypothesis and conclude that there is a significant difference in preferences. C....
Two different designs on a new line of winter jackets for the coming winter are available...
Two different designs on a new line of winter jackets for the coming winter are available for your manufacturing plants. Your profit (in thousands of dollars) will depend on the taste of the consumers when winter arrives. The probability of the three possible different tastes of the consumers and the corresponding profits are presented in the following table. Probability Taste Design A Design B 0.2 more conservative 180 520 0.5 no change 230 310 0.3 more liberal 350 270 1)...
1. As an event planning management company in hospitality industry, explain four (4) practical designs you...
1. As an event planning management company in hospitality industry, explain four (4) practical designs you will use in planning for food and Beverage section
Explain the different types of factorial designs (chapter 8). 1. Mixed factorial designs: 2. P X...
Explain the different types of factorial designs (chapter 8). 1. Mixed factorial designs: 2. P X E designs: 3. Mixed P X E designs:
1. List and describe the four stages of food processing.
  1. List and describe the four stages of food processing. 2. Starting at the nasal cavity, list the major structures oxygen passes through to enter the     alveoli of the lungs. 4. State the components of gastric juice and explain how it is secreted in order to protect     the stomach layer. 6. Explain Boyle’s law in relation to the process of inhalation and expiration.
A researcher is evaluating new cell phone designs. She suspects that individuals of different ages might...
A researcher is evaluating new cell phone designs. She suspects that individuals of different ages might have different preferences. She obtains a sample of 90 students from a nearby university and 60 older adults from the community center of a 55+ residential community. Each person had the opportunity to try out 3 phones and select their preference. Here are the observed frequencies: 1. What specific analysis should be used to determine whether design preference is independent of age?   Observed Frequencies:...
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT