Loose Leaf for Statistical Techniques in Business and Economics
17th Edition
ISBN: 9781260152647
Author: Douglas A. Lind
Publisher: McGraw-Hill Education
expand_more
expand_more
format_list_bulleted
Concept explainers
Videos
Question
Chapter 12, Problem 48CE
a.
To determine
Draw an interaction plot of detergent means by cycle time.
b.
To determine
Compute the ANOVA with statistical software.
Test the interaction effect of brand and cycle time on “dirt removed” at the 0.05 significance level.
c.
To determine
Conduct the appropriate tests of hypotheses for the difference in factor means.
d.
To determine
Interpret the results in a brief report.
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
You want to determine if diet impacts body weight. You recruit 60
subjects, assigning 20 each to either one of two dietary interventions or
to maintain their normal diet. You measure body weight before and after
the intervention and calculate the change in body weight (post minus pre
weights). Shapiro-Wilk tests show the following: Diet 1 p=0.432, Diet 2
p=0.101, Normal Diet p=0.325. To determine the diet effect on the
calculated change in body weight, you would use a
Assume
all other assumptions are met for a parametric test.
Friedman's test
One-way repeated measures ANOVA
Kruskal-Wallis ANOVA
One-way ANOVA
A 2009 study shpwed that handling money reduces the perception of pain. Two groups of participants were asked to participate in a manual dexterity study. Half of the participants were given a stack of blank pieces of paper to count and the other half were given money to count. After the counting task, the participants were asked to dip their hands in 122 degree Farenheit water and rate how uncomfortable it was . The following data shows ratings of pain similar to the results obtained in the study.
Counting Money
Counting Paper
7
9
8
11
10
13
6
10
8
11
5
9
7
15
12
14
5
10
A. based on the sample data, does the treatment, does the treatment have a significant effect? Test with a=.01. ( make sure you have ALL the steps involved in a hypothesis test).
B. Calculate Cohens d to estimate the effect size.
C. What a sentence describing the outcome of the hypothesis test and the measure of effect size as it would appear on a research report.
An experiment that was carried out to study how flow rate through a
solenoid valve in an automobile's pollution-control system depended on
three factors: armature lengths, spring load, and bobbin depth. Four
different levels (low, moderate, high, and extreme) of each factor were
chosen, and a single observation on flow was made for each
combination of levels. The resulting data set consisted of how many
observations? Show how you derived your answer.
Chapter 12 Solutions
Loose Leaf for Statistical Techniques in Business and Economics
Ch. 12 - Steele Electric Products Inc. assembles cell...Ch. 12 - What is the critical F value when the sample size...Ch. 12 - Prob. 2ECh. 12 - Prob. 3ECh. 12 - Prob. 4ECh. 12 - Prob. 5ECh. 12 - Prob. 6ECh. 12 - Prob. 2SRCh. 12 - Prob. 7ECh. 12 - Prob. 8E
Ch. 12 - Prob. 9ECh. 12 - Prob. 10ECh. 12 - Prob. 3SRCh. 12 - Prob. 11ECh. 12 - The following are six observations collected from...Ch. 12 - Prob. 13ECh. 12 - Prob. 14ECh. 12 - Prob. 4SRCh. 12 - Prob. 15ECh. 12 - For exercises 15 and 16, conduct a test of...Ch. 12 - Prob. 17ECh. 12 - Prob. 18ECh. 12 - Prob. 5SRCh. 12 - Prob. 19ECh. 12 - Prob. 20ECh. 12 - Prob. 21ECh. 12 - Prob. 22ECh. 12 - Prob. 23CECh. 12 - Prob. 24CECh. 12 - Prob. 25CECh. 12 - Prob. 26CECh. 12 - In an ANOVA table, the MSE is equal to 10. Random...Ch. 12 - Prob. 28CECh. 12 - Prob. 29CECh. 12 - Prob. 30CECh. 12 - Prob. 31CECh. 12 - Prob. 32CECh. 12 - Prob. 33CECh. 12 - Prob. 34CECh. 12 - Prob. 35CECh. 12 - Prob. 36CECh. 12 - Prob. 37CECh. 12 - Prob. 38CECh. 12 - Shanks Inc., a nationwide advertising firm, wants...Ch. 12 - Prob. 40CECh. 12 - Prob. 41CECh. 12 - Prob. 42CECh. 12 - Prob. 43CECh. 12 - Prob. 44CECh. 12 - Prob. 45CECh. 12 - Prob. 46CECh. 12 - Prob. 47CECh. 12 - Prob. 48CECh. 12 - Prob. 50DACh. 12 - Prob. 51DACh. 12 - Prob. 1PCh. 12 - Prob. 2PCh. 12 - Prob. 3PCh. 12 - Prob. 4PCh. 12 - Prob. 5PCh. 12 - Prob. 6PCh. 12 - Prob. 7PCh. 12 - Prob. 1CCh. 12 - Prob. 2CCh. 12 - Prob. 1.1PTCh. 12 - The likelihood of rejecting a true null hypothesis...Ch. 12 - Prob. 1.3PTCh. 12 - Prob. 1.4PTCh. 12 - Prob. 1.5PTCh. 12 - Prob. 1.6PTCh. 12 - In a two-tailed test, the rejection region is...Ch. 12 - Prob. 1.8PTCh. 12 - Prob. 1.9PTCh. 12 - Prob. 1.10PTCh. 12 - Prob. 2.1PTCh. 12 - Prob. 2.2PTCh. 12 - Prob. 2.3PT
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
- The spotted lanternfly, Lycorma delicatula, is an invasive species to the United States that has the potential to do significant agricultural damage. An ecologist is studying the relationship between the size of the female spotted lanternflies and the number of eggs they produce. The data are summarized below. Length of insect: AVG = 1 inch, SD = 0.15 inchNumber of eggs: AVG = 40 eggs, SD = 5 eggsr = 0.2 Using regression, we can say that the average number of eggs produced by female spotted lanternflies who are 1.1 inch long is closest to... Group of answer choices 42 39 40 41arrow_forwardA plant superintendent has been assigned the task of improving the joint strength of a clutch assembly. The assembly consists of two components: the clutch cup and the drive sprocket. The two components are joined together by means of a brazing operation. The plant superintendent wanted to investigate whether changing the brazing material would affect average braze strength. They decided he would braze one group with pure copper wire and braze another group with the existing copper alloy. One of the two components, the sprocket, is manufactured from powdered metal. The superintendent had observed from past studies that there was a strong relationship between the density of the sprocket and the joint strength of the assembly after brazing. The greater the porosity of the powdered metal sprocket, the more absorption of the braze material takes place, resulting in a weaker bond. They decided to use the known relationship between sprocket porosity and joint strength for setting up a…arrow_forwardDoctors Jonert and Eckson were excited about their results of their previous study on Gypsy moth development. They decided to continue their study of moths, expanding it to native Virginia moths to learn about the pupal mass relationship to development. As part of their study they have a colony of Pink-striped Oakworm moths that have been raised in a controlled environment in their labs. They have collected several pieces of data about the male Luna moths in their colony in order to determine if the pupal mass of the males was related to their rate of development. 17) Looking at the graph on Pupal Mass vs Development Time, what type of graph is this? (pie chart, column chart, bar chart, histogram, line graph, scatter plot, area chart.) 18) Using the appropriate formula, calculate the covariance to 3 decimals. covariance = , now convert it to a percentage: % 19) Is the covariance positive, negative or zero? . 20) Are the variables dependent on one another? (yes, no) 21) Using the…arrow_forward
- Maple syrup is a non-negligible nutritional source of manganese. It is made from the sap of two species of maple: the sugar maple and the black maple. To see if there is a significant difference between the manganese content of these two species of maple, we measured the manganese content (in mg per 100g syrup) for a sample of sugar maples and a sample of black maples. The data is summarized by the Minitab output below: Two-sample T for Sugar Maple Black Maple group N Mean St Dev SE Mean Sugar Maple 20 Black Maple 12 3.55 0.29 Find: (i) a point estimate for ₁-2, where ₁ and 2 are the average manganese contents of the sugar maple, respectively the black maple; (ii) the standard error of X₁ - X₂. A) (i) -0.07; (ii) 0.101 C) (i) -0.26; (ii) 0.097 E) (i) -0.07; (ii) 0.035 3.29 0.22 0.049 0.084 B) (i) -0.26; (ii) 0.188 D) (i) -0.26; (ii) 0.101arrow_forwardThe concentration of carbon dioxide (CO2) in the atmosphere is increasing rapidly due to our use of fossil fuels. Because plants use CO2 to fuel photosynthesis, more CO2 may cause trees and other plants to grow faster. An elaborate apparatus allows researchers to pipe extra CO2 to a 30-meter circle of forest. They selected two nearby circles in each of three parts of a pine forest and randomly chose one of each pair to receive extra CO2. The response variable is the mean increase in base area for 30 to 40 trees in a circle during a growing season. We measure this in percent increase per year. Here are one year's data. Pair Control plot Treated plot Treated - Control 9.782 10.647 0.865 2 7.283 9.254 1.971 3 5.712 8.695 2.983 (a) State the null and alternative hypotheses. (Where u is the mean difference, treated minus control.) Но: и На: и ? : Explain clearly why the investigators used a one-sided alternative. The researchers have no preconceived idea what extra CO2 will do to the growth…arrow_forwardRapid drainage of floodwater is crucial to prevent damage during heavy rains. Several designs for a drainage canal were considered for a certain city. Each design was tested five times, to determine how long it took to drain the water reservoir. The following table presents the drainage times, in minutes. Channel Type Drainage Time 1 41.5 43.2 50.2 41.2 24.2 2 38.8 48.2 51.0 38.1 25.2 3 32.7 33.5 35.0 22.7 24.7 4 26.5 30.7 33.1 23.8 26.7 5 45.1 47.3 48.4 37.1 40.0 Can you conclude that there is a difference in the mean drainage times for the different channel designs? Use the =α0.01 level of significance and the ANOVA table shown below. One-way ANOVA: Drainage Source DF SS MS F P Channel 4 961.7896 240.4474 4.5623 0.0088 Error 20 1054.052 52.7026 Total 24 2015.8416 Is…arrow_forward
- Penicillin is produced by the Penicillium fungus, which is grown in a broth whose sugar content must be carefully controlled. Several samples of broth were taken on three successive days, and the amount of dissolved sugars, in milligrams per milliliter, was measured on each sample. The results were as follows. Day 1 : 5.2 5.5 5.1 4.9 5.3 5.0 5.2 5.1 5.4 5.2 4.8 5.1 5.4 Day 2 : 5.8 5.1 5.3 5.5 5.2 4.9 5.4 5.0 5.4 5.0 5.6 5.4 5.6 Day 3 : 5.9 4.9 5.2 5.3 5.1 5.4 5.3 5.8 5.5 5.4 5.4 5.4 5.2 Can you conclude that the mean sugar concentration differs among the three days? Use the =α0.05 level of significance and the ANOVA table shown below. One-way ANOVA: Sugar Concentration Source DF SS MS F P Days 2 0.2851 0.1426 2.3135 0.1134 Error 36 2.2185 0.0616…arrow_forwardPlease answer the questionarrow_forwardOne operation of a mill is to cut pieces of steel into parts that will later be used as the frame for front seats in an automobile. The steel is cut with a diamond saw and requires the resulting parts to be within 10.005 inch of the length specified by the automobile company. Data are collected from a sample of 50 steel parts and are shown in the following table. The measurement reported is the difference in inches between the actual length of the steel part, as measured by a laser measurement device, and the specified length of the steel part. For example, the first value, -0.003, represents a steel part that is 0.003 inch shorter than the specified length. Complete parts a through c Click the icon to view the data table. a. Construct a frequency distribution Difference in Length -0.005 but less than -0.003: -0.003but less than -0.001 -0.001but less than 0.001 0.001but less than 0.003 0.003but less than 0.005 Frequency Difference Between Actual and Specified Lengths 0.002 0 -0.003…arrow_forward
- A researcher working at Hershey's is interested in comparing two new chocolate bars: Chocolate Bar A versus Chocolate Bar B. The researcher expects the bars to be different in how much customers will eat per month. The researcher believes the more candy bars someone eats will indicate which one tastes the best. An experiment is designed to compare the two new bars. The number of candy bars eaten by one group of 8 people in a month is measured with Candy Bar A and then the number of candy bars eaten in the same month by another group of 8 participants is measured with Candy Bar B. Use the data below to determine if there is a difference in the consumption of the two candy bars. Candy Bar A Candy Bar B Number of Candy Bars eaten within a month 10, 30, 5, 35, 60, 3, 20, 30, 28, 27, 26, 27, 17, 25 12, 20 With a = .05, determine the critical value of t* that needs to be employed here. The value of the appropriate of t* is: 2.145 O 1.717 2.064 2.819 2.074 O The correct answer is not listed.arrow_forwardA researcher working at Hershey's is interested in comparing two new chocolate bars: Chocolate Bar A versus Chocolate Bar B. The researcher expects the bars to be different in how much customers will eat per month. The researcher believes the more candy bars someone eats will indicate which one tastes the best. An experiment is designed to compare the two new bars. The number of candy bars eaten by one group of 8 people in a month is measured with Candy Bar A and then the number of candy bars eaten in the same month by another group of 8 participants is measured with Candy Bar B. Use the data below to determine if there is a difference in the consumption of the two candy bars. Number of Candy Bars eaten within a month. Candy Bar A Candy Bar B 10, 30, 5, 35, 60, 3, 30, 28, 27, 26, 27, 20, 25 17, 12, 20 With a = .05, complete step 4 of the hypothesis testing procedure. What decision should the researcher make regarding "life" satisfaction and gender? The researcher should retain HO and…arrow_forwardSelect two different ways to state that the means of two populations have no difference. H0 : =−μ1μ20 H0 : >μ1μ2 H0 : =μ1μ2 H0 : ≠μ1μ2arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
MATLAB: An Introduction with ApplicationsStatisticsISBN:9781119256830Author:Amos GilatPublisher:John Wiley & Sons Inc
Probability and Statistics for Engineering and th...StatisticsISBN:9781305251809Author:Jay L. DevorePublisher:Cengage Learning
Statistics for The Behavioral Sciences (MindTap C...StatisticsISBN:9781305504912Author:Frederick J Gravetter, Larry B. WallnauPublisher:Cengage Learning
Elementary Statistics: Picturing the World (7th E...StatisticsISBN:9780134683416Author:Ron Larson, Betsy FarberPublisher:PEARSON
The Basic Practice of StatisticsStatisticsISBN:9781319042578Author:David S. Moore, William I. Notz, Michael A. FlignerPublisher:W. H. Freeman
Introduction to the Practice of StatisticsStatisticsISBN:9781319013387Author:David S. Moore, George P. McCabe, Bruce A. CraigPublisher:W. H. Freeman
MATLAB: An Introduction with Applications
Statistics
ISBN:9781119256830
Author:Amos Gilat
Publisher:John Wiley & Sons Inc
Probability and Statistics for Engineering and th...
Statistics
ISBN:9781305251809
Author:Jay L. Devore
Publisher:Cengage Learning
Statistics for The Behavioral Sciences (MindTap C...
Statistics
ISBN:9781305504912
Author:Frederick J Gravetter, Larry B. Wallnau
Publisher:Cengage Learning
Elementary Statistics: Picturing the World (7th E...
Statistics
ISBN:9780134683416
Author:Ron Larson, Betsy Farber
Publisher:PEARSON
The Basic Practice of Statistics
Statistics
ISBN:9781319042578
Author:David S. Moore, William I. Notz, Michael A. Fligner
Publisher:W. H. Freeman
Introduction to the Practice of Statistics
Statistics
ISBN:9781319013387
Author:David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:W. H. Freeman
Mod-01 Lec-01 Discrete probability distributions (Part 1); Author: nptelhrd;https://www.youtube.com/watch?v=6x1pL9Yov1k;License: Standard YouTube License, CC-BY
Discrete Probability Distributions; Author: Learn Something;https://www.youtube.com/watch?v=m9U4UelWLFs;License: Standard YouTube License, CC-BY
Probability Distribution Functions (PMF, PDF, CDF); Author: zedstatistics;https://www.youtube.com/watch?v=YXLVjCKVP7U;License: Standard YouTube License, CC-BY
Discrete Distributions: Binomial, Poisson and Hypergeometric | Statistics for Data Science; Author: Dr. Bharatendra Rai;https://www.youtube.com/watch?v=lHhyy4JMigg;License: Standard Youtube License