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Ashford BUS308 Week 4 Chapter 13 Assignment
Question 1Exercise13.11 (Analysis of Variance and the Completely Randomized Design)How long it takes paint to dry canhave an impact on the production capacity of a business. In May , Deal's AutoBody & Paint in Prescott, Arizona, invested in a paint-drying robot tospeed up its process (The Daily Courier website, https://www.dcourier.com/photos/2018/may/26/984960336/). An interesting question is, "Do all paint-dryingrobots have the same drying time?" To test this, suppose we sample fivedrying times for each of different brands of paint-drying robots. The time inminutes until the paint was dry enough for a second coat to be applied wasrecorded. The following data were obtained.Click on the datafile logo toreference the data. Robot 1 Robot 2 Robot 3 Robot 4 128 144 133 150 137 133 143 142 135 142 137 135 124 146 136 140 141 130 131 153 At the level of significance, testto see whether the mean drying time is the same for each brand of robot.Compute the values identified below(to decimals, if necessary). Sum of Squares, Treatment Sum of Squares, Error Mean Squares, Treatment Mean Squares, Error Calculate the value of the teststatistic (to decimals).
The -value is What is your conclusion?
Question 2Exercise 13.15 Algo (Multiple Comparison Procedures)To test whether the mean time neededto mix a batch of material is the same for machines produced by three manufacturers,the Jacobs Chemical Company obtained the following data on the time (inminutes) needed to mix the material. Manufacturer 1 2 3 17 28 23 23 26 22 21 31 26 19 27 25 a.Use these data to test whether the population mean times for mixing a batch ofmaterial differ for the three manufacturers. Use .
Compute the values below (to decimals, if necessary). Sum of Squares, Treatment Sum of Squares, Error Mean Squares, Treatment Mean Squares, Error Calculate the value of the teststatistic (to decimals).
The -value is What is your conclusion?
b.At the level of significance, use Fisher's LSD procedure to test for theequality of the means for manufacturers and .Calculate Fisher's LSD Value (todecimals).
What conclusion can you draw aftercarrying out this test?
Question 3In the digital age of marketing,special care must be taken to ensure that programmatic ads appear on websitesaligned with a company’s strategy, culture, and ethics. For example, in ,Nordstrom, Amazon, and Whole Foods each faced boycotts from social media userswhen automated ads for these companies showed up on the Breitbartwebsite (ChiefMarketer.com website). It is important for marketingprofessionals to understand a company's values and culture. The following dataare from an experiment designed to investigate the perception of corporateethical values among individuals specializing in marketing (higher scoresindicate higher ethical values). Marketing Managers Marketing Research Advertising 6 5 6 5 5 7 4 4 6 5 4 5 6 5 6 4 4 6 a. Use to test for a significant difference in perception amongthe three groups.Compute the values identified below(to decimals, if necessary). Sum of Squares, Treatment Sum of Squares, Error Mean Squares, Treatment Mean Squares, Error Calculate the value of the teststatistic (to decimals).The -value is What is your conclusion?b. Using , determine where differences between the meanperception scores occur.Calculate Fisher's LSD value (todecimals).Test whether there is a significantdifference between the means for marketing managers ( ), marketing researchspecialists ( ), and advertising specialists ( ). Absolute Value Difference (to decimal) Conclusion
Question 4n experiment has been conducted forfour treatments with eight blocks. Complete the following analysis of variancetable (to decimals but p-value to decimals, if necessary). If answer iszero enter " ". Source Sum Degrees Mean of Variation of Squares of Freedom Square -value Treatments Blocks Error Total Use to test for any significantdifferences.The -value is What is your conclusion?
Question 5Are there differences in airfaredepending on which travel agency website you utilize? The following data werecollected on travel agency websites on July , . The following table containsthe prices in U.S. dollars for a one-way ticket between the cities listed onthe left for each of the three travel agency websites. Here the pairs of citiesare the blocks and the treatments are the different websites. Click on the datafile logo toreference the data. Websites Flight From ‒ To Expedia ($) TripAdvisor ($) Priceline ($) Atlanta to Seattle 176.00 166.00 175.80 New York to Los Angeles 195.00 195.00 206.20 Cleveland to Orlando 77.00 72.00 76.21 Dallas to Indianapolis 149.00 149.00 148.20 Useto test for any significant differences in the meanprice of a one-way airline ticket for the three travel agency websites. If youranswer is zero, enter " ". Source SS MS F P-value F crit of variation (to decimals) df (to decimals) (to decimals) (to decimals) (to decimals) Trip Website Error Total The-value corresponding to Website is .What is your conclusion?We the null hypothesis that there is nodifference in price among the three websites.
Question 6A study reported in TheAccounting Review examined the separate and joint effects of two levels oftime pressure (low and moderate) and three levels of knowledge (naive,declarative, and procedural) on key word selection behavior in tax research.Subjects were given a tax case containing a set of facts, a tax issue, and akey word index consisting of key words. They were asked to select the key wordsthey believed would refer them to a tax authority relevant to resolving the taxcase. Prior to the experiment, a group of tax experts determined that the textcontained relevant key words. Subjects in the naive group had little or nodeclarative or procedural knowledge, subjects in the declarative group hadsignificant declarative knowledge but little or no procedural knowledge, andsubjects in the procedural group had significant declarative knowledge andprocedural knowledge. Declarative knowledge consists of knowledge of both theapplicable tax rules and the technical terms used to describe such rules.Procedural knowledge is knowledge of the rules that guide the tax researcher'ssearch for relevant key words. Subjects in the low time pressure situation weretold they had minutes to complete the problem, an amount of time which shouldbe "more than adequate" to complete the case; subjects in the moderatetime pressure situation were told they would have "only" minutes tocomplete the case. Suppose subjects were selected for each of the six treatmentcombinations and the sample means for each treatment combination are as follows(standard deviations are in parentheses). Excel File: data13-33.xlsx Knowledge Naive Declarative Procedural Low 1.13
(1.12) 1.56
(1.33) 2.00
(1.54) Time Pressure Moderate 0.48
(0.80) 1.68
(1.36) 2.86
(1.80) Use the ANOVA procedure to test forany significant differences due to time pressure, knowledge, and interaction.Use a level of significance. Assume that the total sum of squares for thisexperiment is Letting Time Pressure be Factor Aand Knowledge be Factor B, show the entries in the ANOVA table (to decimals, ifnecessary). Do not round intermediate calculations. If your answer is zero,enter "0". Source of Variation Sum
of Squares Degrees
of Freedom Mean Square F p-value
(to decimals) Factor A Factor B Interaction Error Total The -value for Factor A is What is your conclusion with respectto Factor A?The -value for Factor B is What is your conclusion with respectto Factor B?The -value for the interaction offactors A and B is What is your conclusion with respectto the interaction of Factors A and B?
Question 7A Pew Research study conducted infound that approximately of Americans believe that robots and computers mightone day do many of the jobs currently done by people (Pew Research website,http://www.pewinternet.org/2017/10/04/americans-attitudes-toward-a-future-in-which-robots-and-computers-can-do-many-human-jobs/).Suppose we have the following data collected from nurses, tax auditors, andfast-food workers in which a higher score means the person feels his or her jobis more likely to be automated. Tax Fast-Food Nurse Auditor Worker 4 4 5 5 5 7 5 4 6 3 6 4 3 6 5 5 5 6 6 6 5 5 6 8 a.Use to test for differences in the belief that a person's job is likely to beautomated for the three professions.(todecimals)The -value is . What is your conclusion?We the null hypothesis that the meanscores are the same for the three professions.b.Use Fisher's LSD procedure to compare the belief that a person's job will beautomated for nurses and tax auditors.(todecimals)What is your conclusion?We the nullhypothesis that the two population means are equal.
Question 8A factorial experiment was designedto test for any significant differences in the time needed to perform Englishto foreign language translations with two computerized language translators.Because the type of language translated was also considered a significantfactor, translations were made with both systems for three different languages:Spanish, French, and German. Use the following data for translation time inhours. Language Spanish French German System 1 6 14 15 10 18 19 System 2 10 12 14 14 14 20 Test for any significant differencesdue to language translator system (Factor A), type of language (Factor B), andinteraction. Use .Complete the following ANOVA table(to decimals, if necessary). Round your p-value to decimal places. Source of Variation Sum of Squares Degrees of Freedom Mean Square F p-value Factor A Factor B Interaction Error Total The p-value for Factor A is What is your conclusion with respectto Factor A? The p-value for Factor B is What is your conclusion with respectto Factor B? The p-value for theinteraction of factors A and B is What is your conclusion with respectto the interaction of Factors A and B?
ANSWER WILL BE SENT BY EMAIL.
The -value is What is your conclusion?
Question 2Exercise 13.15 Algo (Multiple Comparison Procedures)To test whether the mean time neededto mix a batch of material is the same for machines produced by three manufacturers,the Jacobs Chemical Company obtained the following data on the time (inminutes) needed to mix the material. Manufacturer 1 2 3 17 28 23 23 26 22 21 31 26 19 27 25 a.Use these data to test whether the population mean times for mixing a batch ofmaterial differ for the three manufacturers. Use .
Compute the values below (to decimals, if necessary). Sum of Squares, Treatment Sum of Squares, Error Mean Squares, Treatment Mean Squares, Error Calculate the value of the teststatistic (to decimals).
The -value is What is your conclusion?
b.At the level of significance, use Fisher's LSD procedure to test for theequality of the means for manufacturers and .Calculate Fisher's LSD Value (todecimals).
What conclusion can you draw aftercarrying out this test?
Question 3In the digital age of marketing,special care must be taken to ensure that programmatic ads appear on websitesaligned with a company’s strategy, culture, and ethics. For example, in ,Nordstrom, Amazon, and Whole Foods each faced boycotts from social media userswhen automated ads for these companies showed up on the Breitbartwebsite (ChiefMarketer.com website). It is important for marketingprofessionals to understand a company's values and culture. The following dataare from an experiment designed to investigate the perception of corporateethical values among individuals specializing in marketing (higher scoresindicate higher ethical values). Marketing Managers Marketing Research Advertising 6 5 6 5 5 7 4 4 6 5 4 5 6 5 6 4 4 6 a. Use to test for a significant difference in perception amongthe three groups.Compute the values identified below(to decimals, if necessary). Sum of Squares, Treatment Sum of Squares, Error Mean Squares, Treatment Mean Squares, Error Calculate the value of the teststatistic (to decimals).The -value is What is your conclusion?b. Using , determine where differences between the meanperception scores occur.Calculate Fisher's LSD value (todecimals).Test whether there is a significantdifference between the means for marketing managers ( ), marketing researchspecialists ( ), and advertising specialists ( ). Absolute Value Difference (to decimal) Conclusion
Question 4n experiment has been conducted forfour treatments with eight blocks. Complete the following analysis of variancetable (to decimals but p-value to decimals, if necessary). If answer iszero enter " ". Source Sum Degrees Mean of Variation of Squares of Freedom Square -value Treatments Blocks Error Total Use to test for any significantdifferences.The -value is What is your conclusion?
Question 5Are there differences in airfaredepending on which travel agency website you utilize? The following data werecollected on travel agency websites on July , . The following table containsthe prices in U.S. dollars for a one-way ticket between the cities listed onthe left for each of the three travel agency websites. Here the pairs of citiesare the blocks and the treatments are the different websites. Click on the datafile logo toreference the data. Websites Flight From ‒ To Expedia ($) TripAdvisor ($) Priceline ($) Atlanta to Seattle 176.00 166.00 175.80 New York to Los Angeles 195.00 195.00 206.20 Cleveland to Orlando 77.00 72.00 76.21 Dallas to Indianapolis 149.00 149.00 148.20 Useto test for any significant differences in the meanprice of a one-way airline ticket for the three travel agency websites. If youranswer is zero, enter " ". Source SS MS F P-value F crit of variation (to decimals) df (to decimals) (to decimals) (to decimals) (to decimals) Trip Website Error Total The-value corresponding to Website is .What is your conclusion?We the null hypothesis that there is nodifference in price among the three websites.
Question 6A study reported in TheAccounting Review examined the separate and joint effects of two levels oftime pressure (low and moderate) and three levels of knowledge (naive,declarative, and procedural) on key word selection behavior in tax research.Subjects were given a tax case containing a set of facts, a tax issue, and akey word index consisting of key words. They were asked to select the key wordsthey believed would refer them to a tax authority relevant to resolving the taxcase. Prior to the experiment, a group of tax experts determined that the textcontained relevant key words. Subjects in the naive group had little or nodeclarative or procedural knowledge, subjects in the declarative group hadsignificant declarative knowledge but little or no procedural knowledge, andsubjects in the procedural group had significant declarative knowledge andprocedural knowledge. Declarative knowledge consists of knowledge of both theapplicable tax rules and the technical terms used to describe such rules.Procedural knowledge is knowledge of the rules that guide the tax researcher'ssearch for relevant key words. Subjects in the low time pressure situation weretold they had minutes to complete the problem, an amount of time which shouldbe "more than adequate" to complete the case; subjects in the moderatetime pressure situation were told they would have "only" minutes tocomplete the case. Suppose subjects were selected for each of the six treatmentcombinations and the sample means for each treatment combination are as follows(standard deviations are in parentheses). Excel File: data13-33.xlsx Knowledge Naive Declarative Procedural Low 1.13
(1.12) 1.56
(1.33) 2.00
(1.54) Time Pressure Moderate 0.48
(0.80) 1.68
(1.36) 2.86
(1.80) Use the ANOVA procedure to test forany significant differences due to time pressure, knowledge, and interaction.Use a level of significance. Assume that the total sum of squares for thisexperiment is Letting Time Pressure be Factor Aand Knowledge be Factor B, show the entries in the ANOVA table (to decimals, ifnecessary). Do not round intermediate calculations. If your answer is zero,enter "0". Source of Variation Sum
of Squares Degrees
of Freedom Mean Square F p-value
(to decimals) Factor A Factor B Interaction Error Total The -value for Factor A is What is your conclusion with respectto Factor A?The -value for Factor B is What is your conclusion with respectto Factor B?The -value for the interaction offactors A and B is What is your conclusion with respectto the interaction of Factors A and B?
Question 7A Pew Research study conducted infound that approximately of Americans believe that robots and computers mightone day do many of the jobs currently done by people (Pew Research website,http://www.pewinternet.org/2017/10/04/americans-attitudes-toward-a-future-in-which-robots-and-computers-can-do-many-human-jobs/).Suppose we have the following data collected from nurses, tax auditors, andfast-food workers in which a higher score means the person feels his or her jobis more likely to be automated. Tax Fast-Food Nurse Auditor Worker 4 4 5 5 5 7 5 4 6 3 6 4 3 6 5 5 5 6 6 6 5 5 6 8 a.Use to test for differences in the belief that a person's job is likely to beautomated for the three professions.(todecimals)The -value is . What is your conclusion?We the null hypothesis that the meanscores are the same for the three professions.b.Use Fisher's LSD procedure to compare the belief that a person's job will beautomated for nurses and tax auditors.(todecimals)What is your conclusion?We the nullhypothesis that the two population means are equal.
Question 8A factorial experiment was designedto test for any significant differences in the time needed to perform Englishto foreign language translations with two computerized language translators.Because the type of language translated was also considered a significantfactor, translations were made with both systems for three different languages:Spanish, French, and German. Use the following data for translation time inhours. Language Spanish French German System 1 6 14 15 10 18 19 System 2 10 12 14 14 14 20 Test for any significant differencesdue to language translator system (Factor A), type of language (Factor B), andinteraction. Use .Complete the following ANOVA table(to decimals, if necessary). Round your p-value to decimal places. Source of Variation Sum of Squares Degrees of Freedom Mean Square F p-value Factor A Factor B Interaction Error Total The p-value for Factor A is What is your conclusion with respectto Factor A? The p-value for Factor B is What is your conclusion with respectto Factor B? The p-value for theinteraction of factors A and B is What is your conclusion with respectto the interaction of Factors A and B?
ANSWER WILL BE SENT BY EMAIL.
