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bus 511 spring2014 final sample

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BUS 511 – Spring 2014 – Final Sample Question ‐ Marks are shown in brackets []. ‐ You may use calculators (for basic calculations ONLY) unless stated otherwise ‐ On all questions you are expected to EXPLAIN YOUR WORKING and SHOW ALL CALCULATIONS unless explicitly stated otherwise. Name: _________________________________ Student ID: ___________________ Time: 1 hour 30 minutes 1. [3] What is pooled variance in comparing population means with small samples? 2. [10] Arbitron Media Research, Inc. conducted a study of the radio listening habits of men and women. One facet of the study involved the mean listening time. It was discovered that the mean listening time for men was 35 minutes per day. The standard deviation of the sample of the 10 men studied was 10 minutes per day. The mean listening time for the 12 woman studied was 35 minutes, but the standard deviation of the sample was 12 minutes. At the 0.1 significance level, can we conclude that there is a difference in the mean as well as in the variation in the listening times for men and women? 3. [12] The plant manager believes that the temperature in the packaging area of the plant affects the daily rate of production. To investigate the plant temperature is set at 65 degrees, 70 degrees, and 72 degrees. The number of units produced at each of these temperatures for a sample of days is collected. At the .05 significance level is there a difference in the daily production? Temperature 65 Degrees 70 Degrees 72 Degrees 6 8 9 1 14 15 6 5 10 3 5 17 4 3 8 6 5 7 7 8 4. [3] What are the purposes of the blocking variables in conducting ANOVA? 5. [4] Write down the assumptions underlying linear regression. 6. [3] A regression equation gives a measure of the mean relationship between variables. Explain briefly. 7. [6] The following sample observations were randomly selected.

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  • BUS511Spring2014Final SampleQuestion Marksareshowninbrackets[].Youmayusecalculators(forbasiccalculationsONLY)unlessstatedotherwiseOnallquestionsyouareexpectedtoEXPLAINYOURWORKINGandSHOWALLCALCULATIONSunlessexplicitlystatedotherwise. Name:_________________________________StudentID:___________________Time:1hour30minutes1. [3]Whatispooledvarianceincomparingpopulationmeanswithsmallsamples?

    2. [10]ArbitronMediaResearch,Inc.conductedastudyoftheradio listeninghabitsofmenandwomen.One

    facetofthestudyinvolvedthemeanlisteningtime.Itwasdiscoveredthatthemeanlisteningtimeformenwas35minutesperday.Thestandarddeviationofthesampleofthe10menstudiedwas10minutesperday.Themean listeningtimeforthe12womanstudiedwas35minutes,butthestandarddeviationofthesamplewas12minutes.Atthe0.1significancelevel,canweconcludethatthereisadifferenceinthemeanaswellasinthevariationinthelisteningtimesformenandwomen?

    3. [12] Theplantmanagerbelieves that thetemperature in thepackagingareaoftheplantaffects thedaily

    rateofproduction. To investigatetheplanttemperature issetat65degrees,70degrees,and72degrees.Thenumberofunitsproducedateachofthesetemperaturesforasampleofdays iscollected. Atthe .05significancelevelisthereadifferenceinthedailyproduction?

    Temperature65Degrees70Degrees 72Degrees

    6 8 9 1 14 15 6 5 10 3 5 17 4 3 8 6 5 7

    7 8

    4. [3]WhatarethepurposesoftheblockingvariablesinconductingANOVA?

    5. [4]Writedowntheassumptionsunderlyinglinearregression. 6. [3]Aregressionequationgivesameasureofthemeanrelationshipbetweenvariables.Explainbriefly.7. [6]Thefollowingsampleobservationswererandomlyselected.

  • (a) Determinetheregressionequation.(b) DeterminethevalueofYwhenXis7.(c) Computethecoefficientofdetermination.(d) Interpretthecoefficientofdetermination.

    8. [7]RefertothefollowingANOVAtable.SourceDFSSMSFRegression310762903358763410.94ResidualError82623764327970Total1113386667(a) Howlargewasthesample?(b) Howmanyindependentvariablesarethere?(c) Computethecoefficientofmultipledetermination?(d) Computethemultiplestandarderrorofestimate.(e) Conductaglobaltestofhypothesis,usingthe0.05significancelevel.Interpretthedecision.(f)

    9. [3]Whatassumptionsdoyoumakeregardingtheshapeofthepopulationingoodnessoffittest?Justifyyouranswer.

    X:453610Y:46577


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