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# RES 342 Final solution Sample - All 54 questions answers - A++ (10)

Richmond CC

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Date Created: 11/17/15

1 If the decision is to reject the null hypothesis of no difference between two population parameters 2 distribution at the 01 significant level what is the correct statement of the alternate hypothesis and rejection region H1 2 p2 z gt 196 and z lt negative 196 111 gt 112 z lt negative 233 111 gt 112 z gt 233 H1 at 112 z gt 258 and z lt negative 258 2 A hypothesis test that involves a small sample requires that we make the following assumption that the region of acceptance will be wider than for large samples the population is normally distributed a larger computed value of t will be needed to reject the null hypothesis 3 The normally distributed AAA battery life is stated to be 350 days when used in a clock radio The Big Charge Battery Company has recently modified the AAA batteries so as to extent their life The owner of the company wanted to know if the improved batteries really did last significantly longer A sample of 100 of the improved batteries was tested It was discovered that the mean life was 362 days and the sample standard deviation was 10 days The research department decided to conduct the test at the 005 level of significance whether the modification actually increased the life of the AAA battery What was their decision rule Reject the null hypothesis if computed z is less than 196 Do not reject the null hypothesis if computed z is 165 or greater Reject the null hypothesis if computed z is 196 or greater Do not reject the null hypothesis if the 2 test statistics is 196 or Reject the null hypothesis if computed z is less than 196 greater 4 In classical hypothesis testing the test statistic is to the critical value what the critical value is to alpha test statistic is to the p value level of significance is to the test statistic p value is to alpha 5 A statistician was setting up a hypothesis test with a level of significance dictated by upper management However she was concerned that the test she wished to perform might have unacceptable large possibilities of Type II error B Which of the following would solve this problem Convince upper management to use a larger sample Convince upper management to use a smaller p value Convince upper management to reduce the level of significance of the test Convince upper management to use a larger p value 6 K amp S Construction located in Phoenix Arizona is working on its business plan for the upcoming year They did a study to determine if they should focus on building condominiums or individual houses A building study which had been conducted by the state indicated that 60 percent of those families looking to buy a home in Arizona desired to buy a condominium K amp S Construction wanted to know if this figure applied to Phoenix They collected a sample of 500 individuals that had expressed plans to buy a new home The zdistribution was selected for this proportion test The null hypothesis is p 060 and the alternate is p t 060 The significant level selected was 05 From the sample of 500 it was determined that 290 wanted to buy a condominium What decision should be made regarding the null hypothesis Reject it Fail to reject it Cannot accept nor reject it based on the information given The test level of 05 is not acceptable 7 Cake manufacturer Little Diva s wants to increase the shelf life of its easytofix cupcake mixes Company s records indicate that the average shelf life of the mix is 230 days A new improved cupcake mix was developed and a sample of 10 boxes of the cupcake mix had these shelf lives in days 231 233 232 233 228 231 234 229 235 and 232 If the standard deviation was 67 and at the 0025 significant level has the shelf life of the cupcake mix increased Yes because computed tis less than the critical value Yes because computed tis greater than the critical value No because computed tlies in the region of acceptance No because 2318 is quite close to 230 8 Thomas Delivery has a fleet of 24 trucks that are utilized for the companies business Electro Lite a manufacturer of spark plugs claims that its spark plugs have an average life in excess of 25000 miles The purchasing agent at Thomas Delivery purchased 24 sets and found that the sample average life was 26300 miles the sample standard deviation was 1500 miles and the computed test statistic was t 3423 Based on these findings at the 005 level is there enough evidence to accept the manufacturer39s claim ElectroLite claims cannot be supported or denied with the test results ElectroLite claims are not supported by the test results ElectroLite claims are just an advertising promotion ElectroLite claims are supported the spark plugs do exceed the mean of 25000 miles 9 If the paired differences are normal in a test of mean differences then the distribution used for testing is the ChiSquare normal distribution Student t distribution F distribution 10 One hundred women were polled and 60 reported successfully communicating an automobile problem to an auto repairman A sample of 150 men had 95 reporting the same success The value of the test statistic for a test of the equality of proportions is 11 Flash Jolt a manufacturer of camera equipment annually introduces new models in the fall of the year At the conclusion of the Christmas season retail dealers are contacted regarding their stock on hand of each piece of equipment It has been discovered that unless 47 of the new equipment ordered by the retailers in the fall had been sold by Christmas immediate production cutbacks are needed At the end of the 2009 Christmas shopping season a survey of 100 dealers indicated that 45 of Flash Jolt equipment had been sold It was decided to continue production levels at the current levels The statistical test was conducted at the 005 level Computed z 040 Correct decision not a significant difference Wrong decision should have cut back production Cannot determine based on information given The two percentage points be attributed to sampling Correct decision not a significant difference error 12 Golf balls that are properly manufactured will have a rebound height of 42 inches when dropped by a testing machine from a height of 5 feet The quality control inspector is concerned that a new manufacturing machine is not properly calibrated and that the resulting golf balls are falling short of the desired height At random 100 golf balls were selected for a test The test results indicated that the rebound height was 416 inches with a standard deviation of 05 At the 05 significant level what is the result of the test There is a significant difference the golf balls are defected There is no significant difference A decision regarding a significant difference cannot be made A larger test sample is needed 13 The owner of a bottling company is considering buying a new bottling machine He has been testing two different machines that are being considered After collecting 300 samples from each machine over several weeks he was able to conduct a two sample 2 testltpgtHe decided to utilize a 005 significant level for the test The test was to address the claim that the mean weight of the bottles filled by the Orno machine was greater than the mean weight of the bottles filled by the Edne machine The test statistics was 221 What is the decision regarding the hypothesis Reject the null hypothesis there is a significant difference There is not enough data available to answer the question Accept the null hypothesis there is not a significant difference This is a two tail test and the critical value for the test is 1 96 14 When is it appropriate to use the paired difference ttest Any two samples are compared Two dependent samples are compared Four samples are compared at once Two independent samples are compared 15 Indy H20 is a water bottling company They are looking at two different bottling manufacturers equipment for the purpose of replacing some old equipment The net weights of a sample of bottles filled by a machine manufactured by WTR and the net weights of a sample filled by a similar machine manufactured by Target are in grams WTR 8 9 7 8 9 and 10 Target 8 10 7 119 12 8 and 9 Testing the claim at the 005 level that the mean weight of the bottles filled by the Target machine is greater than the mean weight of the bottles filled by the WTR machine what is the critical value 21 17 16 A consumer researcher is testing the difference between two proportions at the 005 level of significance The researcher was utilizing the 2 distribution for the test If the computed test statistic 2 value was 112 what was the decision Do not reject the null hypothesis Reserve judgment Do not reject the null hypothesis Reject the null hypothesis Take a larger sample 17 When testing for differences between two means the BehrensFisher problem arises when the sample populations are are normal with unequal variances are nonnormal and have unequal vanances normal with equal variances are nonnormal and have equal vanances 18 You are conducting a twotailed test of means but your software package only calculates a onetailed ovalue equal to 013 The actual pvalue for your test is 0065 You need a table to calculate this value 19 Watson s TV claims that their televisions have the best performance record on the market They advertise that after 3 years only 10 of their sold televisions have had any type of repairs The president of the company wanted to confirm that this statement was correct To do this a sample of 60 sets was taken of sets that had been sold and were at least 3 years old Twelve percent of these television sets had been in for repair The null hypothesis is that there is no difference between the stated percent and the sample data At the 05 significant level what can we conclude about the null hypothesis The data fails to reject the null hypothesis The difference is too close to be able to decide The null hypothesis is rejected and the difference is significant The sample is too small to be able to decide 20 New college business graduates are finding it difficult to get a job A business journal has reported that only one in five graduates is able to find a job within 6 months of their graduation A report by the University of Phoenix indicated that out of a survey of 300 recent business graduates 75 had jobs You are a business major at the University of Phoenix and have a concern about getting a job Based on this data will a graduate of the University of Phoenix have a better chance of getting a job in the first 6 months after graduation Use the 05 significant level for the test Cannot be predicted based on this data The business journal information is incorrect No there is not a significant difference Yes there is a significant difference 21 A trolley system is being planned for the downtown area of Cincinnati Ohio To be able to proceed with this project planners have indicated that at least 20 of the residents of the areas that would be covered need to support the idea To determine the feelings of these city residents a sample of 300 residents was taken Seventeen percent of the sample responded that they would ride the trolley Is this enough evidence for the project to proceed Use the 05 level of significant A ttest would be the best choice for the test There is not enough evidence to support the moving fonNard with the project There is enough evidence move fonNard with the project A decision cannot be made either yes or no 22 The F distribution is utilized with the ANOVA test There are some basic assumptions associated with the distribution Which of these assumptions is NOT valid It is a continuous distribution There is a family of distributions It is negatively skewed Its values cannot be negative 23 Mr Thomas owns three different restaurants in Cincinnati Ohio He is concerned about the profitability of the restaurants There are monthly differences between the restaurants and he wants to determine if the differences in profit are significant Mr Thomas wants to do a statistical test to see if he should be concerned The best test to address this problem would be to conduct two different t tests to conduct an ANOVA test to conduct a paired ttest to conduct a two sample test 24 Blake s Mortgage Company utilizes four different appraisers for the purpose of determining the value of a house There is a concern by the company s owner that the appraisers are not providing the same estimates She wants to determine if there is a difference between the four appraisers Six houses were selected and each appraiser provided an appraisal for each of the six houses What would be the best statistical test to use for the analysis of this data KruskalWallis test Chi square test A paired t test An ANOVA 25 In ANOVA analysis when the null hypothesis is rejected we can find which means are different by adding another treatment doing an additional ANOVA constructing confidence intervals doing a ttest A difference between at least one pair of population means Too many degrees of freedom The variances are the same 27 Each Christmas season there is a hot toy that everyone must have especially if you are under the age of nine This prized toy can be purchased at many different types of stores A consumer group wanted to determine if there was a difference in price for the toy depending on where the toy was purchased Is the price of this toy the same for the different stores or is there a difference In the Cincinnati area there are three main stores of concern WalMart Meijer and Toys R Us Data was collected from different stores around the city Prices will vary depending on the location of the store The collected data is as follows in dollars WalMart Meijer Toys R Us 1 5 1 8 2 0 1 2 1 7 1 9 1 2 1 4 1 6 14 15 20 l3 l7 l9 Conduct an ANOVA analysis of the data Is there a significant difference between the three stores A t test would have been a better test The sample needs to be larger to be able to answer the ques on There is a significant difference between the three stores 28 In the chisquared goodnessoffit test if the expected frequencies ei and the observed frequencies fi were quite different we would conclude that the ID 29826 null hypothesis is true and we would not reject it alternative hypothesis is false and we would reject it null hypothesis is false and we would reject it chisquared distribution is invalid and we would use the tdistribution instead 29 What nonparametric test is used when the assumptions for the parametric analysis of variance ANOVA cannot be met Its purpose is to test whether three or more populations are equal The data must be at least ordinal scaled Kruskal Wallis 2 Mann VVthey Students39 t ANOVA 30 What are the assumptions required for nonparametric tests regarding the shape of the population distribution The samples are independent The populations have equal standard deviations The distribution appears like a bellshaped curve No assumptions are required 31 Rachael Smith is the personnel manager at Johnson and Johnston an accounting firm She is concerned about tardiness which seems to be an increasing problem especially after days off work She decided to sample the records to determine if tardiness was distributed evenly throughout the 6day work week The null hypothesis to be tested was Tardiness is distributed evenly throughout the week The 001 level was used as the significant level The sample results were Day of Week Number Absent Monday 1 2 Tuesday 9 Wednesday 1 1 Thursday 1 0 Friday 9 Saturday 9 What is the critical value of chisquare with a significant level of 005 32 The city of Denver has several golf courses around the city The Recreational Park manager is trying to set the schedule for the employees at these courses His concern is that he wants to have enough staff to handle the daily demands but to not be overstaffed He has concerns about the next year s budget and is trying to curb expenses where possible To be able to make a decision regarding staffing he collected data regarding the number of rounds of golf played during the week The weekend was excluded because the weekends are always very busy He wanted to see if there was a significant difference between the days of the week in terms of rounds being played If there was a difference then he could use this information to help make staffing decisions The result of the data collection is as follows Day of Week Rounds Monday 1 5 0 Tuesday 9 0 Wednesday 1 2 0 Thursday 1 O 0 Friday 1 4 0 What is the result of the statistical test Can the manager s staff schedule vary for different days of the week Use the chi square distribution at the 05 significant level Yes there is a significant difference between days of the week Yes there is no difference between days of the week No there is a significant difference between days of the week No there is not a significant difference between days of the week 33 The nonparametric counterpart of the randomized block model of the ANOVA is the KruskalWallis test Friedman test Wilcoxon signed rank sum test Wilcoxon rank sum test 34 Corny s Feed Company markets four different mixtures of feed for chickens These feeds have different combinations of ingredients One question that the manager is often asked by customers is if there is a difference between the four feeds in terms of weight gain To be able to address this question an analysis was done of the four feeds They contacted a local farmer to conduct a test regarding the four feeds There were 28 chickens selected for the test These chickens were divided into four groups with each group receiving one of the feeds The statistical test selected for the analysis was the KruskalWallis test and the 05 significant level was used for the test The test result was H 465 This indicates that the feeds are different the feeds need to be tested some more before a decision can be made the feeds are the same some of the feeds are different 35 Clermont Savings and Loan has four branches located throughout the county The activity level at these four branches appears to be different but the manger needs verification Turnover rate how quickly money is withdrawn from an account after being deposited was selected as the variable to be measured A total sample of 22 accounts was collected from the four Branches The KruskalWallis test at the 01 significant level was selected for the statistical analysis The null hypothesis being tested was that the population distribution between the four branches is identical The test statistics was H 12453 What is the correct interpretation of this result The null hypothesis is accepted The null hypothesis is rejected More information is needed to be able to make a decision A different test needs to be used for the analysis 36 To determine whether four population means are equal a sample from each population was selected at random and using the KruskalWallis test H was computed to be 211 What is your decision at the 005 level of risk Fail to reject the null hypothesis because 005 lt 211 Fail to reject the null hypothesis because 211 lt 7815 Reject the null hypothesis because 211 gt critical value of 196 Fail to reject the null hypothesis because 005 lt 211 Reject the null hypothesis because 7815 is gt 211 37 What is the range of values for a coefficient of correlation 0to 10 3 to 3 inclusive Unlimited range 10 to 10 inclusive 38 Based on the regression equation we can predict the value slope of the line predict the value of the dependent variable given a value of the independent variable measure the association between two variables predict the value of the independent variable given a value of the dependent variable 39 If the coefficient of multiple determination is 072 what percent of variation is not explained 40 The Golden Park and Recreation Department wants to determine a better way to estimate income at the various recreational centers One relationship that was investigated was between family size and amount spent on recreation The question was if smaller families spent less money than larger families A regression analysis tool was selected to be used to address this question Data was collected from 15 member families regarding what they spent each week on recreation Their data was as follows Family Size Amount Spent Family Size Amount Spent Family Size Amount Spent 4 109 3 101 3 115 5 114 4 120 6 174 3 161 4 125 5 156 5 159 6 170 4 145 5 164 3 104 5 145 Compute the coefficient of correlation 41 Smith s Appliances is evaluating its advertising budget The owner is trying to decide if the budget needs to be altered or not The question Is there a positive return on the investment that is being made in advertising What is the relationship between sales and the amount spent on advertising The owner collected data for the past year by month The data is in millions of dollars Month Advertising Expense Sales Revenue January 2 4 February 3 5 March 3 6 April 5 8 May 6 8 June 4 7 July 5 7 August 6 8 September 7 9 October 8 1 0 November 1 O 1 3 December 9 1 1 Is there a relationship between the two variables What is the coefficient of correlation for this data 42 The Ohio Electric Company is investigating electric consumption by single family homes based on the number of rooms The investigators wanted to determine the relationship between number of rooms and electric consumption in kilowatthours thousands A sample of 12 homes was selected and the data is as follows Number of Rooms KilowattHours Number of Rooms KilowattHours 10 10 8 9 9 8 10 ll 7 6 10 9 12 13 8 9 8 7 6 7 Number of Rooms KilowattHours Number of Rooms KilowattHours I 1 1 1 2 5 6 What percent of the variation is explained by the variable number of rooms 9 iii 8 1 2 F 451 F 949 the X factor for each unit increase in Y X increases by 25 44 The least squares regression equation is Y39 1312 245x When X 5 what does Y39 equal 23 25 15 45 If the coefficient of correlation is 069 the coefficient of determination is 047 06 46 If the net regression coefficients in the population are significantly different from zero what can be concluded Good predictions are not possible At least one of the net regression coefficients is not equal to zero No relationship exists between the dependent variable and any of the independent variables 47 If there are four independent variables in a multiple regression equation there are also four Y intercepts constant terms dependent variables regression coefficients 48 In a multiple regression ANOVA table explained variation is represented by the regression sum of squares the correlation matrix the regression coefficients the total sum of squares 49 If the least squares equation for Mary s Clothing sales data from 2004 to 2008 is represented by the equation Y39 12 11t in millions What is the value of t and the forecast for 2010 the quarter39s sales are 6 above the yearly average the quarter39s sales are 66 of the yearly average the other three quarter percentages will total 34 the quarter39s sales are 66 of the year total sales 51 The following linear trend equation was developed for the annual sales of the Tractor Manufacturing Company Y39 355 50t in thousands How much are sales increasing by 50000 per year 6000 per year 500000 per year 5000 per month 52 An analysis of graduates from a local business college was performed to determine if there was a relationship between GPA and starting salary of recent graduates It was believed that a higher GPA would result in a higher starting salary The analysis of data collected from recent graduates produced the following correlation matrix Salary GPA 0902 Business 0911 0851 Which statement is correct regarding the interpretation of the analysis The belief that there is a relationship between GPA and starting salary is correct GPA is explaining about 50 of the variation Nothing can be stated based on this data analysis The belief that there is a relationship between GPA and starting salary is incorrect 53 Midwest State University Office of Registrar is reviewing the university s enrollment for the past 10 years It is know that there are seasonal variable that affects the university s enrollment To be better able to address business decisions that are affected by enrollment an analysis of data was necessary The school operates on a quarter system of enrollment starting typically with fall quarter and ending with summer quarter The analysis of the data produced these four quarterly indexes Fall Winter Spring Summer I 1261711896 1040 04447 Which statement is correct based on this analysis Summer quarter appears to be too low Winter and spring quarters should be treated differently The pattern is predictable and reasonable Fall quarter needs to receive major attention to handle enrollment 54 Big House Lumber Company located in Dayton Ohio is preparing its annual business report The manager has performed an analysis of the business annual sales starting in 2004 and concluding with 2009 This analysis produced an annual sales linear trend equation of Y39 100989 014213t The manager has been indicating to the company s investors that sales in 2011 will exceed 115 million dollars Is the manager statement accurate The manager is providing the investors with a good prediction The manager has interpreted the data correctly The manager is in need of more information before making a prediction The manager is overstating the annual sales J HE 39 Fiil39l lHEI JlM Them meepemeee have been Exam Salaried Exam Cutmplele uswers Current E E H 3345 PM r E lTEEEIIH 424 PM 13354 Suhnn ieeien llnetru ctiene Heeee ewhnim eeey Emile ewmmemy meeu e liege m i ei m m mam ee eeing ewmmew weeuliiep wees ee i mee e er key in the meeemimi hem Wmm Men wees cemew fez mete ne EEI EHIJ eh iniae meni i ee met fee lee lame Men dike em ee iieh and nd m eeei Ewe fee h we the page A 57 In mildew in ewhnii ee me i fee ineim m simp r eliieh ne A hu aem and e e meni mill ehrew ee cen lrmeiim Mai ewhnileei m w Illillete iTM Emit1 wee lie Elma rim eddii m ifeedhteelc ii eeeilleh ew lIllllill eee fern mum euree ennui fee ne Mll ll l e in elmler fee Hedi Ii yew eeee ie pee edmiieel Heme rim peeiing e17 eeem meeu ew pileee e Fedmiie meamed 3i 1mm and ile eeeillehlle 24 hmme e dear 1quot 111335 3 week Eeeyrightv im University efPheenie

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