Week 3 Two or More Sample Hypothesis Testing Team Paper (Wages) Teacher Comments
Week 3 Two or More Sample Hypothesis Testing Team Paper (Wages) Teacher Comments
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Date Created: 11/16/15
Two or More Sample Hypothesis Testing Two or More Sample Hypothesis Testing Name University of Phoenix Research and Evaluation 11 RES 342 Teacher Two or More Sample Hypothesis Testing 2 The research performed in this assignment is whether there is a difference in miles traveled based on the performance of the engines in different buses To determine the results there were three separate typed of buses used MCI Nova and NABI The engines tested are Detroit Cummins and Catepillar Each bus travels a specific amount of miles per trip There are nine different samples to test from Every business no matter the size has to make a decision based on the information they have Hypothesis testing is used in both science and business to test assumptions and theories and ultimately guide managers when faced with making decisions Doane amp Seward 2007 p 347 Each team member researched a portion of the data provided on three separate bus eets The test that were performed by the team are described in the following paragraphs using the proper five steps What if any is the difference in engine performancebased on the amount of miles the bus travels In this example the number of miles traveled is provided The average miles traveled based on adding the number of miles together and dividing by nine would be an average of 16222222 miles traveled The null hypothesis would be a bus can travel an average of 16222222 miles before there is a problem with the engine based on alpha 005 The alternative hypothesis is that the bus cannot travel more than 16222222 and not have engine trouble The null hypothesis and the alternate hypothesis are written in numerical form as follows You don t average miles in this kind of test If you are attempting to develop the 1St step of an ANOVA look at my lecture and you will see Ho p1 u2 3 H1 pl at uz at 3 111 u 2 16222222 u2 u S 16222222 Two or More Sample Hypothesis Testing 3 u3 0 Formalizing the numerical hypothesis reads as follows If the bus engine develops problems and needs to be worked on at 16222222 miles traveled and the engine is successfully updated and repaired than the bus can continue a normal route In order to should accept or reject the null hypothesis a fivestep test needs to be performed Listed below is the engine analysis for the three different eets that have different engines the study lends itself to ANOVA ANOVA is a means to establish if something in a process has changed or not The data presented is in miles between breakdowns on the engine Breakdown defined as anything on the engine that requires downing the coach Also because of the different numbers of buses in each eet everything is normalized to miles per bus The goal is to accept or reject the null hypothesis the samples have different means at a certain confidence level to test at the 005 alpha for a 95 confidence Bus MCI NOVA NABI Engine Detroit 12000 13000 11000 Cummins 15000 16000 17000 Caterpillar 18000 21000 23000 The test is done on Excel ANOVAs 2007 using the twofactor without replication to determine if the performance of the different buses and different engines show any variances in the performance of the bus by brand and is there any variance in performance by engine type Anova Two Factor Without Replication Two or More Sample Hypothesis Testing SUMMARY Count S um Average Variance Row 1 3 36000 12000 1000000 Row 2 3 48000 16000 1000000 Row 3 3 62000 2066667 6333333 Column 1 3 45000 15000 9000000 Column 2 3 50000 1666667 16333333 Column 3 3 5 1000 17000 36000000 ANOVA Source of Variation SS Df MS I 5644444 Rows 113E08 2 4 2309091 0006354 6944272 Columns 6888889 2 3444444 1409091 0344178 6944272 Error 9777778 4 2444444 Total 13E08 8 Lenore Bailey Microsoft Of ce Excel ANOVA 2007 Date01232011 F lt Fcrit do not reject null hypothesis did not have any effect on the variance F gt Fcrit reject the alterative null hypothesis it would be that there is an effect on the variance Which is Which Rows are Blocks and Columns are treatments At the 005 alpha the Bus treatments F1409 is lt Fcrit 6944 means do not reject null hypothesis did not have any effect on the variance in the performance of the bus by brand MCI NOVA and NABI At the 005 alpha the Engine blocks F 23091 is gt Fcrit 6944 reject the alterative null hypothesis it would be there is an effect on the variance in performance by engine type of Two or More Sample Hypothesis Testing 5 Detroit Cummins and Caterpillar Our team conducted a TwoWay Analysis of Variance test After conducting a ANOVA test comparing the busses MCI NOVA and NABI we came to the result that we should accept the null hypothesis not claiming its 100 accurate and reject the alternative hypothesis and declare that there is difference in means of the three busses that use the three engines Detroit Cummins and Caterpillar Since the F statistic shows that it is not greater than the critical value it gives us strong evidence to not reject the null hypothesis but rather accept the alternate hypothesis You are meandering here and really not making much sense If the calculated value is less then the critical value you decide to not reject THAT S IT IF you are not going to reject the null YOU certainly are not going to turn right around and state the ALTERNATIVE is the choice In week 3 we had seen the histogram and we eyeballed for normalcy because it is necessary in this parametric test In the next week because the nonparametric does not require normalcy as an assumption we can stamp with more authority to either reject the alternative or accept the null What are you talking about This is completely invalid These results tell us clearly that the engines give us different performances and we could further pursue this investigation to find which one is better by using two sample tests to figure out which one is the best and which one works the worst Statistics is a powerful tool for data analysis Parametric and nonparametric tests allow users to work with most any type of data The past three weeks hypothesis tests concluded the rejection of the null hypothesis and alternate hypothesis validating the assumption about the bus engines and making decisions at the end This information is powerful for any business as they Two or More Sample Hypothesis Testing 6 can take the business of whatever bus engine company has the best performance but not the one which is the cheapest hence the saying You get what you pay for The research on this assignment included engine analysis There types engines were the three different buses The MCI Nova and NABI traveled the mileage to perform this trip Each eet has three different engines and performed differently The performance was based the variance of the brand of each bus Let me give you some advice Try on the next paper to limit the paper to 3 pages That way you won t find yourself behind enemy lines adlibbing and taking some of the value and quality of work away because the last effort from page 5 on you are wandering making invalid comments and taking good points away Without page 5 and 6 I would have given a 97 but the comments should have been edited out because they are not statistical I don t weigh these things don t just yammer on 9110 Two or More Sample Hypothesis Testing 7 References Doane D P amp Seward L E 2007 Applied statistics in business and economics Boston MA McGraWHill Irwin Retrieved January 23 2011 from University of Phoenix Resource RES342 Business Research Methods 11 httpsecampusphoenixeduclassroomicclassroomaspx Parkes J 2011 Week Three Lecture for Research and Evaluation 342 Retrieved January 23 2011 from AXia College L4 ANOVAdoc61kb Principles and Manual Procedures for ANOVA EXCELANOVAdoc317kb Excel ANOVA Procedures
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