Levin and Rubin Solutions

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<p>OverviewWeek 2 - Portion Covered.(Refer TEXT BOOK)Assignment detailsQuick Access to detailed SolutionsPage 17: 2-1, 2-2.Page 17 Table 2-1 &amp; 2-2Page 24 : 2-12Page 24 2-12Page 35: 2-22Page 35 2-22Page 35: 2-23page 35 2-23Page 53: 2-34Page 53 Q 2-34Page 53: 2-35Page 53 Q 2-35Page 60: 2-44Page 60 Q2-44</p> <p>Page 17 Table 2-1 &amp; 2-2Page 24 2-12Page 35 2-22page 35 2-23Page 53 Q 2-34Page 53 Q 2-35Page 60 Q2-44</p> <p>Page 17 Table 2-1 &amp; 2-2page 17Table 2-1Table 2-1High school and college grade point average of 20 Collge seniorsPounds of pressure per square inch that concrete can withstandPressure per square inch(in Pounds)Average(Mean)H.S.CollegeAverage(Mean)2500.22499.8952499.8953.62.5College3.192500.80.62.7H.S.3.072490.52.72.22499.23.73.22506.443.82497.83.53.62502.53.53.82504.12.23.52498.33.93.72499.943.92496.93.43.62503.22.932508.23.942496.73.23.52508.42.12.52500.82.22.82496.93.43.42500.83.632490.42.61.92502.32.43.22491.62495.32502.22493.42491.32503.72497.12508.12500.72509.52501.32499.72493.825022498.4250025052497.82502.52498.1</p> <p>Page 24 2-12Page 24Q 2-12Speeds of 45 motorists(Raw data)SpeedsModus OperandiNumber of equal class intervalsTable 1. (For 5 equal classes)151. find max and min values from raw data, choose a start value.5Category / ClassLowerUpperFrequencyRelative Frequencypercentage relative frequencyCumulative percentage frequency322. determine range of each class interval, for given number of intervals1115-25152530.076.67%6.67%453. group data pertaining to each class intervalMin1526-36263640.098.89%15.56%464. determine frequency for each class intervalMax6937-473747120.2726.67%42.22%425. determine relative frequencyStart Value1548-584858180.4040.00%82.22%396. determine percentage frequencyIncremet (Class Width) for 5 equal in tervals1159-69596980.1817.78%100.00%687. plot histogramIncremet (Class Width) for 11 equal in tervals5Total451100.00%478. perform analysis189. answer questionsTable 2. (For 11 equal classes)31Category / ClassLowerUpperFrequencyPercentFrequencypercentage relative frequencyCumulative percentage frequency4815-19151930.076.67%6.67%4920-24202400.000.00%6.67%5625-29252920.044.44%11.11%5230-34303420.044.44%15.56%3935-39353950.1111.11%26.67%48Answers:Analysis 140-44404430.076.67%33.33%69a. Orange county motorists do not follow the US DOT reportsPercentage of motorists who exceed 55mph45-494549110.2424.44%57.78%61b. Table 2:- Relative percentage frequency distributionTable 235.56%50-54505430.076.67%64.44%44c. 66.67% of the motorists drive within the range of 36mph and 59 mphAnalysis 255-59555980.1817.78%82.22%42Table 1:- relative frequency distributionPercentage of motorists who drive within 36mph and 59mph60-64606450.1111.11%93.33%38Table 166.67%65-69656930.076.67%100.00%52Analysis 3Total451.00100.00%55Proportion of motorists who drive within 36mph and 59mph58Table 10.67625848565848475237642955382962496918615549</p> <p>Page 24 2-12</p> <p>FrequencyClass intervalFrequencyHistogram for Table 1</p> <p>Page 35 2-22</p> <p>Frequencyclass intervalsFrequencyHistogram for Table 2</p> <p>page 35 2-23Page 35Q2-22TABLE 1(Frequency distribution for custumers in each age group)Customer AgeModus OperandiNumber of open ended class intervalsAge GroupsLowerUpperFrequencyRelative FrequencyPercentage relative frequencyCumulative percentage frequency261. find max and min values from raw data, choose a start value.510-19101930.1010.00%10.00%372. determine range of each class interval, for given number of interval20-29202970.2323.33%33.33%403. group data pertaining to each class interval, form an open ended classificationMin1430-39303970.2323.33%56.67%184. determine frequency for each class intervalMax6840-49404970.2323.33%80.00%145. determine relative frequencyStart Value1050-Older50Older60.2020.00%100.00%456. determine percentage frequencyIncremet (Class Width) for 5 equal in tervals10Total301100.00%327. plot histogram688. perform analysis319. answer questions372032AnswersAnalysis15a. it can be clearly seen from table 1 and its histogram that the majority of the customers fall in the age group 20 to 49 with ech group having 7 customers each(20-29, 30-39, 40-49)middle aged customers:70.00%27it is evident that majority of Symphony's customers are middle aged, followed by older and the least market is in the young agedold aged20.00%46young10.00%446258304222264441345550632922</p> <p>page 35 2-23</p> <p>FrequencyAge RangefrequencyHistogram for table 1</p> <p>Page 53 Q 2-34page 35Q 2-23Customer Purchase amount groupingNew Simplified groupingupper limitlower limit$ SpentFrequencyCumulative frequencyModus OperandiSpending groupsLowerUpperFrequencyRelative FrequencyPercentage relative frequency0.000.990-0.9950501. reduce number of intervals and determine new range of each class intervalOutliers0-0.990.000.99500.010.58%1.003.9991-3.9992402903. group data pertaining to each class interval.1-9.9991.009.9991000. determine frequency for each class interval for both old and new grouping10-18.99910.0018.9993100.000.360.367.009.9997-9.99946010505. determine relative frequency19-27.99919.0027.9992590.000.300.3010.0012.99910-12.99990019506. determine percentage frequency28-36.99928.0036.9992090.000.240.2413.0015.99913-15.999105030007. plot histogram37-45.99937.0045.999800.000.090.0916.0018.99916-18.999115041508. perform analysisoutliers46-48.99946.0048.999900.011.04%19.0021.99919-21.99998051309. answer questionsTotal86701100.00%22.0024.99922-24.999830596025.0027.99925-27.9997806740new Incremet (Class Width)928.0030.99928-30.999760750031.0033.99931-33.999720822034.0036.99934-36.999610883037.0039.99937-39.999420925040.0042.99940-42.999280953043.0045.99943-45.999100963046.0048.99946-48.999909720</p> <p>Page 53 Q 2-34</p> <p>Frequencyspending groupsfrequencyhistogram for table 1</p> <p>Page 53 Q 2-35Page 53Q 2-34Given frequency distribution for length of phone calls madeTable 1upper limitlower limitLength in minutesFrequencyModus Operandiupper limitlower limitLength in minutesFrequency1.007.001-7451. find max and min values from raw data, choose a start value.171-7458.0014.008-14322. determine range of each class interval, for given number of interval8148-143215.0021.0015-21343. group data pertaining to each class interval, form an open ended classification152115-213422.0028.0022-28224. determine frequency for each class interval222822-282229.0035.0029-35165. plot histogram293529-351636.0042.0036-42125. perform analysis364236-421243.0049.0043-4996. answer questions434943-49950.0056.0050-565505650-565Answersa. The shape of the histogram is left skewed-the right tail of the distriburion is considerably longer than the left tail. There is a decrese in the frequency as the length of the calls increase with the exception of 15-21 min range.b. Since the frequency with which the longest calls are made are low, they should be allowed to make calls first, followed by higher frequency callsers.c. As discussed above, the order will help in saving time.</p> <p>Page 53 Q 2-35</p> <p>Frequencylength of calls in minsfrequencyTelephone calls made</p> <p>Page 60 Q2-44page 53Q 2-35Raw Data of agesTable 1(Frequency distribution of age groups)AgesModus OperandiMin51Age Category / ClassLowerUpperFrequencyRelative Frequencypercentage relative frequencyCumulative percentage frequency661. find max and min values from raw data, choose a start value.Max9650-59505950.2020.00%20.00%652. determine range of each class interval, for given number of intervalsStart Value5060-69606970.2828.00%48.00%963. group data pertaining to each class intervalIncremet (Class Width)1070-79707950.2020.00%68.00%804. determine frequency for each class interval80-89808930.1212.00%80.00%715. determine relative frequency90-99909950.2020.00%100.00%936. determine percentage frequencyTotal251100.00%667. plot histogram968. perform analysis759. answer questions616961AnswersAnalysis51a. 80% of the residents would be eligible for no fee as can be seen from the ogive curve, the only demography lying in the non fee waivier is in the rage 50-59, wgich accounts for only 20 % of the residentsDollars charged per person$12.0084b.fee for 25 residents=$12. Total fee collected is $300. therefore the remaining residents would have to pay $60 to cover the same total costtotal fee collected$300.0058Paid by remaining residents after waivier$60.0073778969925756557896</p> <p>Page 60 Q2-44</p> <p>Cumulative percentage frequencyAgeCumulative percentage frequency(Ogive) for age</p> <p>Page 60Q 2-44Raw DataMeaningful informationIncomeEducationRow LabelsMin of IncomeMax of IncomeCount of IncomeIncome range17000High School1 year college1440020200214400-20200Used pivot table20800B.S.10th grade1440014400114400-1440027000M.A.11th grade1760017600117600-1760070000M.D.2 years college1720022400317200-2240029000Ph.D.B.A.1960034400319600-344001440010th gradeB.S.2080032800420800-3280019000High SchoolHigh School1700030400617000-3040023200M.A.Law Degree5200076000252000-7600030400High SchoolM.A.2320027000223200-2700025600B.A.M.D.70000100000270000-10000021200B.S.M.S.3620036200136200-3620028000B.S.Ph.D.2900064000329000-6400030200High SchoolGrand Total1440010000030224002 years college100000M.D.Answer76000Law DegreeThe grouping of data do provide a more meaningful information of the data and can be analysed for further inferences44000Ph.D.1760011th grade25800High School202001 year college172002 years college19600B.A.36200M.S.144001 year college184002 years college34400B.A.26000High School52000Law Degree64000Ph.D.32800B.S.</p>