Basic Business Statistics Student Value Edition Plus NEW MyLab Statistics with Pearson eText -- Access Card Package (13th Edition)
13th Edition
ISBN: 9780133873641
Author: Mark L. Berenson, David M. Levine, Kathryn A. Szabat
Publisher: PEARSON
expand_more
expand_more
format_list_bulleted
Concept explainers
Videos
Textbook Question
Chapter 11, Problem 13PS
A pet food company has a business objective of expending its product line beyond its current kidney and shrimp-based cat foods. The company developed two new products, one based on chicken liver and the other based on salmon. The company conducted an experiment to compare the two new products with its two existing ones, as well as a generic beef-based product sold at a supermarket chain.
For the experiment, a sample of 50 cats from the population at a local animal shelter was selected. Ten cats were randomly assigned to each of the five products being tested. Each of the cats was then presented with 3 ounces of the selected food in a dish at feeding time. The researchers defined the variable to be measured as the number of ounces of food that the cat consumed within a 10-minute time interval that began when the filled dish was presented. The results for this experiment are summarized in the table on page 414 and stored in CatFood.
a. At the 0.05 of significance, is there evidence of a difference in the mean amount of food eaten among the various products?
b. If appropriate, determine which products appear to differ significantly in the mean amount of food eaten.
c. At the 0.05 level of significance, is there evidence of a difference in the variation in the amount of food eaten.
d. What should the pet food company conclude? Fully describe the pet food company’s options with respect to the products.
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
A medical researcher obtains a sample of adults suffering from diabetes. She randomly assigns 95 people to a treatment group and 95 to a placebo group. The treatment group receives medication over a period of three months and the placebo group receives a placebo. After the three months the patients' symptoms are evaluated.
Is it observational study or experiment?
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 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 mean squares for Treatments? Provide your answer to the nearest 2 decimal places.
A pet food company has a business objective of expanding its product line beyond its current kidney- and shrimp-based cat foods. The company developed two new products, one based on chicken liver and the other based on salmon. The company conducted an experiment to compare the two new products with its two existing ones, as well as a generic beef-based product sold in a supermarket chain. For the experiment, a sample of 50 cats from the population at a local animal shelter was selected. Ten cats were randomly assigned to each of the five products being tested. Each of the cats was then presented with 3 ounces of the selected food in a dish at feeding time. The researchers defined the variable to be measured as the number of ounces of food that the cat consumed within a 10-minute time interval that began when the filled dish was presented. The results of this experiment are summarized in the following table:
Kidney
Shrimp
Chicken
Liver
Salmon
Beef
2.37
2.26…
Chapter 11 Solutions
Basic Business Statistics Student Value Edition Plus NEW MyLab Statistics with Pearson eText -- Access Card Package (13th Edition)
Ch. 11 - An experiment has a single factor with five groups...Ch. 11 - You are working with the same experiment as in...Ch. 11 - You are working with the same experiment as in...Ch. 11 - Consider an experiment with three groups, with...Ch. 11 - Prob. 5PSCh. 11 - You are working the same experiment as in Problem...Ch. 11 - Prob. 7PSCh. 11 - The more costly and time-consuming it is to export...Ch. 11 - A hospital conducted a study of the waiting time...Ch. 11 - A manufacturer of pens has hired an advertising...
Ch. 11 - QSR has been reporting on the largest quick-serve...Ch. 11 - Prob. 12PSCh. 11 - A pet food company has a business objective of...Ch. 11 - A sporting goods manufacturing company wanted to...Ch. 11 - Prob. 15PSCh. 11 - Prob. 16PSCh. 11 - Prob. 17PSCh. 11 - Prob. 18PSCh. 11 - Prob. 19PSCh. 11 - Prob. 20PSCh. 11 - Prob. 21PSCh. 11 - Prob. 22PSCh. 11 - Prob. 23PSCh. 11 - How do the rating for TV, phone, and Internet...Ch. 11 - Prob. 25PSCh. 11 - How different are the rates of return of money...Ch. 11 - Prob. 27PSCh. 11 - The data in Concrsts2 represent the compressive...Ch. 11 - Prob. 29PSCh. 11 - Prob. 30PSCh. 11 - Prob. 31PSCh. 11 - Prob. 32PSCh. 11 - Prob. 33PSCh. 11 - Prob. 34PSCh. 11 - Prob. 35PSCh. 11 - Prob. 36PSCh. 11 - Prob. 37PSCh. 11 - Prob. 38PSCh. 11 - A metallurgy company wanted to investigate the...Ch. 11 - An experiment was conducted to try to resolve a...Ch. 11 - Prob. 41PSCh. 11 - Prob. 42PSCh. 11 - Prob. 43PSCh. 11 - Prob. 44PSCh. 11 - Prob. 45PSCh. 11 - When and how should you use multiple comparison...Ch. 11 - What is the difference between the randomized...Ch. 11 - Prob. 48PSCh. 11 - Prob. 49PSCh. 11 - Prob. 50PSCh. 11 - Prob. 51PSCh. 11 - Prob. 52PSCh. 11 - Medical wires are used in the manufacture of...Ch. 11 - Prob. 54PSCh. 11 - Suppose that, when setting up the experiment in...Ch. 11 - Prob. 56PSCh. 11 - Prob. 57PSCh. 11 - Prob. 58PSCh. 11 - Prob. 59PSCh. 11 - Prob. 60PSCh. 11 - Prob. 61PS
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.Similar questions
- 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. the p-value associated with the observed test statistic? Please provide your answer to the nearest fou decimal places.arrow_forwardThe Best Pet Food company has a business objective of expanding its product line beyond its current Beef and Salmon cat food. The company developed two new products, one based on Chicken Liver and the other based on Shrimp. The company conducted an experiment to compare the two new products with its two existing ones, as well as a generic Kidney-based product sold in a supermarket chain. For the experiment, a sample of 40 cats was selected at the Toronto Cat Rescue Volunteer Centre. A random selection of eight cats were assigned to each of the five products being tested. Each of the cats was then presented with 5 ounces of the selected food in a dish at feeding time. The researchers defined the variable to be measured as the number of ounces of food that the cat consumed within a 10-minute interval that began when the filled dish was presented. The results of this experiment are given below. Beef 4.79 4.10 4.98 4.18 4.32 Salmon 4.86 4.90 4.76 4.86 4.86 4.69 4.46 4.88 SUMMARY Groups…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 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_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 O 0.0642 and 0.0435 2 0.0642 and 0.0038 O 0,0435 and 0.0028 0.0038 and 0.0028 45 0.0028 and 0.0038 27 32 40 3 43 31 30 41 4 44 38 40 42 5 56 45 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. 49 What are p-values to determine whether all…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 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
arrow_back_ios
arrow_forward_ios
Recommended textbooks for you
Glencoe Algebra 1, Student Edition, 9780079039897...AlgebraISBN:9780079039897Author:CarterPublisher:McGraw Hill
Holt Mcdougal Larson Pre-algebra: Student Edition...AlgebraISBN:9780547587776Author:HOLT MCDOUGALPublisher:HOLT MCDOUGAL
College Algebra (MindTap Course List)AlgebraISBN:9781305652231Author:R. David Gustafson, Jeff HughesPublisher:Cengage Learning
Glencoe Algebra 1, Student Edition, 9780079039897...
Algebra
ISBN:9780079039897
Author:Carter
Publisher:McGraw Hill
Holt Mcdougal Larson Pre-algebra: Student Edition...
Algebra
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
College Algebra (MindTap Course List)
Algebra
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:Cengage Learning
Hypothesis Testing - Solving Problems With Proportions; Author: The Organic Chemistry Tutor;https://www.youtube.com/watch?v=76VruarGn2Q;License: Standard YouTube License, CC-BY
Hypothesis Testing and Confidence Intervals (FRM Part 1 – Book 2 – Chapter 5); Author: Analystprep;https://www.youtube.com/watch?v=vth3yZIUlGQ;License: Standard YouTube License, CC-BY