Basic Business Statistics
14th Edition
ISBN: 9780134684840
Author: BERENSON, Mark L., Levine, David M., Szabat, Kathryn A.
Publisher: Pearson,
expand_more
expand_more
format_list_bulleted
Concept explainers
Videos
Textbook Question
Chapter 12, Problem 45PS
A pet food company has the business objective of expending its product line beyond its current kidney and shrimp-based cat food. The company developed two new products-one based on chicken livers and the other based on salmon. The conducted an experiment to compare the two new products with its two existing ones, as well as a generic beef-bases 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 with a 10-minutes time interval that began when the filled dish was presented. The results for this experiment are summarized in the table in the next column and stored in CatFood.
a. At the 0.05 level of significance, is there evidence is there evidence of significant difference in the
b. Compare the result of (a) with those of problem 11.13 (a) on page 413.
c. Which test is more appropriate for these data: the Kruskal-Wallis rank test of the one-way ANOVA F test? Explain.
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
(a) Test the hypothesis.
Consider the hypothesis test Ho
=
:
against H₁o < 02. Suppose that the sample sizes aren₁ =
7 and n₂
= 13 and that
$²
= 22.4 and $22
= 28.2. Use α = 0.05.
Ho
is not
✓ rejected.
9-9
IV
(b) Find a 95% confidence interval on of 102. Round your answer to two decimal places (e.g. 98.76).
Let us suppose we have some article reported on a study of potential sources of injury to equine veterinarians conducted at a
university veterinary hospital. Forces on the hand were measured for several common activities that veterinarians engage in when
examining or treating horses. We will consider the forces on the hands for two tasks, lifting and using ultrasound. Assume that both
sample sizes are 6, the sample mean force for lifting was 6.2 pounds with standard deviation 1.5 pounds, and the sample mean force
for using ultrasound was 6.4 pounds with standard deviation 0.3 pounds. Assume that the standard deviations are known.
Suppose that you wanted to detect a true difference in mean force of 0.25 pounds on the hands for these two activities. Under the null
hypothesis, 40 = 0. What level of type II error would you recommend here?
Round your answer to four decimal places (e.g. 98.7654). Use a
= 0.05.
β
= i
What sample size would be required?
Assume the sample sizes are to be equal.…
=
Consider the hypothesis test Ho: μ₁ = μ₂ against H₁ μ₁ μ2. Suppose that sample sizes are n₁ =
15 and n₂ =
15, that x1 = 4.7
and X2 = 7.8 and that s² = 4 and s² = 6.26. Assume that o and that the data are drawn from normal distributions. Use
απ 0.05.
(a) Test the hypothesis and find the P-value.
(b) What is the power of the test in part (a) for a true difference in means of 3?
(c) Assuming equal sample sizes, what sample size should be used to obtain ẞ = 0.05 if the true difference in means is - 2? Assume
that α = 0.05.
(a) The null hypothesis is
98.7654).
rejected. The P-value is 0.0008
(b) The power is 0.94
. Round your answer to four decimal places (e.g.
Round your answer to two decimal places (e.g. 98.76).
(c) n₁ = n2 =
1
. Round your answer to the nearest integer.
Chapter 12 Solutions
Basic Business Statistics
Ch. 12 - Determine the critical value of 2 with 1 degree of...Ch. 12 - Determine the critical value of 2 with 1 degree of...Ch. 12 - Use the following contingency table: a. Compute...Ch. 12 - Use the following contingency table: a. Compare...Ch. 12 - An lpsos poll asked 1,004 adults “If purchasing...Ch. 12 - Prob. 6PSCh. 12 - Prob. 7PSCh. 12 - The Society for Human Resource Management (SHRM)...Ch. 12 - What Social media tools do marketers commonly use?...Ch. 12 - Docs co-browsing have positive effects on the...
Ch. 12 - Consider a contingency table, with two rows and...Ch. 12 - Use the following contingency table: a. Compute...Ch. 12 - Use the following contingency table: a. Compute...Ch. 12 - How common are financial cost or contractual...Ch. 12 - Business sensor technology provides a way for...Ch. 12 - Prob. 16PSCh. 12 - Repeat (a) and (b) of Problem 12.16, assuming that...Ch. 12 - Prob. 18PSCh. 12 - The MSCI 2016 Survey of Women of Boards Survey...Ch. 12 - Prob. 20PSCh. 12 - Prob. 21PSCh. 12 - Prob. 22PSCh. 12 - A Gallup survey across generations of workers...Ch. 12 - How often do Facebook users post? A study by the...Ch. 12 - What makes sales leaders tick? Mercuri...Ch. 12 - PwC takes a closer look at what CEOs are looking...Ch. 12 - Using Table E.6, determine the lower-and...Ch. 12 - Using Table E.6, determine the lower-tail critical...Ch. 12 - Prob. 29PSCh. 12 - Prob. 30PSCh. 12 - Prob. 31PSCh. 12 - Prob. 32PSCh. 12 - From Problem 12.32 , at the 0.05 level of...Ch. 12 - In Problems 12.32 and 12.33, what is your...Ch. 12 - A vice president for marketing recruits 20 college...Ch. 12 - Prob. 36PSCh. 12 - Is there a difference in the satisfaction rating...Ch. 12 - The management of a hotel has the business...Ch. 12 - Prob. 39PSCh. 12 - Brand valuations are critical to CEOs, financial...Ch. 12 - A bank with a branch located in a commercial...Ch. 12 - Prob. 42PSCh. 12 - Prob. 43PSCh. 12 - Prob. 44PSCh. 12 - A pet food company has the business objective of...Ch. 12 - A hospital conducted a study of the waiting time...Ch. 12 - Prob. 47PSCh. 12 - An advertising agency has been hired by a...Ch. 12 - Prob. 49PSCh. 12 - The more costly and time consuming it is to export...Ch. 12 - Prob. 51PSCh. 12 - Prob. 52PSCh. 12 - Prob. 53PSCh. 12 - Prob. 54PSCh. 12 - Prob. 55PSCh. 12 - Prob. 56PSCh. 12 - Prob. 57PSCh. 12 - Prob. 58PSCh. 12 - Prob. 59PS
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
- Consider the hypothesis test Ho: = 622 against H₁: 6 > 62. Suppose that the sample sizes are n₁ = 20 and n₂ = 8, and that = 4.5; s=2.3. Use a = 0.01. (a) Test the hypothesis. Round your answers to two decimal places (e.g. 98.76). The test statistic is fo = i The critical value is f = Conclusion: i the null hypothesis at a = 0.01. (b) Construct the confidence interval on 02/022 which can be used to test the hypothesis: (Round your answer to two decimal places (e.g. 98.76).) iarrow_forward2011 listing by carmax of the ages and prices of various corollas in a ceratin regionarrow_forwardس 11/ أ . اذا كانت 1 + x) = 2 x 3 + 2 x 2 + x) هي متعددة حدود محسوبة باستخدام طريقة الفروقات المنتهية (finite differences) من جدول البيانات التالي للدالة (f(x . احسب قيمة . ( 2 درجة ) xi k=0 k=1 k=2 k=3 0 3 1 2 2 2 3 αarrow_forward
- 1. Differentiate between discrete and continuous random variables, providing examples for each type. 2. Consider a discrete random variable representing the number of patients visiting a clinic each day. The probabilities for the number of visits are as follows: 0 visits: P(0) = 0.2 1 visit: P(1) = 0.3 2 visits: P(2) = 0.5 Using this information, calculate the expected value (mean) of the number of patient visits per day. Show all your workings clearly. Rubric to follow Definition of Random variables ( clearly and accurately differentiate between discrete and continuous random variables with appropriate examples for each) Identification of discrete random variable (correctly identifies "number of patient visits" as a discrete random variable and explains reasoning clearly.) Calculation of probabilities (uses the probabilities correctly in the calculation, showing all steps clearly and logically) Expected value calculation (calculate the expected value (mean)…arrow_forwardif the b coloumn of a z table disappeared what would be used to determine b column probabilitiesarrow_forwardConstruct a model of population flow between metropolitan and nonmetropolitan areas of a given country, given that their respective populations in 2015 were 263 million and 45 million. The probabilities are given by the following matrix. (from) (to) metro nonmetro 0.99 0.02 metro 0.01 0.98 nonmetro Predict the population distributions of metropolitan and nonmetropolitan areas for the years 2016 through 2020 (in millions, to four decimal places). (Let x, through x5 represent the years 2016 through 2020, respectively.) x₁ = x2 X3 261.27 46.73 11 259.59 48.41 11 257.96 50.04 11 256.39 51.61 11 tarrow_forward
- If the average price of a new one family home is $246,300 with a standard deviation of $15,000 find the minimum and maximum prices of the houses that a contractor will build to satisfy 88% of the market valuearrow_forward21. ANALYSIS OF LAST DIGITS Heights of statistics students were obtained by the author as part of an experiment conducted for class. The last digits of those heights are listed below. Construct a frequency distribution with 10 classes. Based on the distribution, do the heights appear to be reported or actually measured? Does there appear to be a gap in the frequencies and, if so, how might that gap be explained? What do you know about the accuracy of the results? 3 4 555 0 0 0 0 0 0 0 0 0 1 1 23 3 5 5 5 5 5 5 5 5 5 5 5 5 6 6 8 8 8 9arrow_forwardA side view of a recycling bin lid is diagramed below where two panels come together at a right angle. 45 in 24 in Width? — Given this information, how wide is the recycling bin in inches?arrow_forward
- 1 No. 2 3 4 Binomial Prob. X n P Answer 5 6 4 7 8 9 10 12345678 8 3 4 2 2552 10 0.7 0.233 0.3 0.132 7 0.6 0.290 20 0.02 0.053 150 1000 0.15 0.035 8 7 10 0.7 0.383 11 9 3 5 0.3 0.132 12 10 4 7 0.6 0.290 13 Poisson Probability 14 X lambda Answer 18 4 19 20 21 22 23 9 15 16 17 3 1234567829 3 2 0.180 2 1.5 0.251 12 10 0.095 5 3 0.101 7 4 0.060 3 2 0.180 2 1.5 0.251 24 10 12 10 0.095arrow_forwardstep by step on Microssoft on how to put this in excel and the answers please Find binomial probability if: x = 8, n = 10, p = 0.7 x= 3, n=5, p = 0.3 x = 4, n=7, p = 0.6 Quality Control: A factory produces light bulbs with a 2% defect rate. If a random sample of 20 bulbs is tested, what is the probability that exactly 2 bulbs are defective? (hint: p=2% or 0.02; x =2, n=20; use the same logic for the following problems) Marketing Campaign: A marketing company sends out 1,000 promotional emails. The probability of any email being opened is 0.15. What is the probability that exactly 150 emails will be opened? (hint: total emails or n=1000, x =150) Customer Satisfaction: A survey shows that 70% of customers are satisfied with a new product. Out of 10 randomly selected customers, what is the probability that at least 8 are satisfied? (hint: One of the keyword in this question is “at least 8”, it is not “exactly 8”, the correct formula for this should be = 1- (binom.dist(7, 10, 0.7,…arrow_forwardKate, Luke, Mary and Nancy are sharing a cake. The cake had previously been divided into four slices (s1, s2, s3 and s4). What is an example of fair division of the cake S1 S2 S3 S4 Kate $4.00 $6.00 $6.00 $4.00 Luke $5.30 $5.00 $5.25 $5.45 Mary $4.25 $4.50 $3.50 $3.75 Nancy $6.00 $4.00 $4.00 $6.00arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
College Algebra (MindTap Course List)AlgebraISBN:9781305652231Author:R. David Gustafson, Jeff HughesPublisher:Cengage Learning
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)
Algebra
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher: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
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