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- The article “Determination of Most RepresentativeSubdivision” (J. of Energy Engr., 1993: 43–55) gavedata on various characteristics of subdivisions that couldbe used in deciding whether to provide electrical powerusing overhead lines or underground lines. Here are thevalues of the variable x 5 total length of streets within asubdivision:1280 5320 4390 2100 1240 3060 47701050 360 3330 3380 340 1000 9601320 530 3350 540 3870 1250 2400960 1120 2120 450 2250 2320 24003150 5700 5220 500 1850 2460 58502700 2730 1670 100 5770 3150 1890510 240 396 1419 2109a. Construct a stem-and-leaf display using the thousandsdigit as the stem and the hundreds digit as theleaf, and comment on the various features of thedisplay.b. Construct a histogram using class boundaries 0, 1000,2000, 3000, 4000, 5000, and 6000. What proportion of subdivisions have total length less than 2000?Between 2000 and 4000? How would you describethe shape of the histogram?For unemployed persons in the United States, the average number of months ofunemployment at the end of December 2009 was approximately seven months(Bureau of Labor Statistics, January 2010). Suppose the following data are for aparticular region in upstate New York. The values in the first column show thenumber of months unemployed and the values in the second column show thecorresponding number of unemployed persons.MonthsUnemployedNumberUnemployed1 10292 16863 22694 26755 34876 46527 41458 35879 2325 10 1120Let x be a random variable indicating the number of months a person is unemployed.a. Use the data to develop an empirical discrete probability distribution for x.b. Show that your probability distribution satisfies the conditions for a validdiscrete probability distribution.c. What is the probability that a person is unemployed for two months or less?Unemployed for more than two months?d. What is the probability that a person is unemployed for more than sixmonths?A research company has designed three different systems to clean up oil spillages. The following table contains the results, measured by how much surface area (in square meters) is cleared in 1 hour. The data were found by testing each method in several trials. Is there any significant difference in the testing of effectiveness of the three systems? Use the 0.05 level of significance. System A System B System C 293 295 304 298 291 290 301 302 299 294 287 295 297 300 - 293 - -
- A study was conducted to examine the difference in mean cholesterol levels in the blood of men and women and cholesterol levels were measured in 10 women and 10 men. The results were entered into R and the R code and output can be seen below. > tapply(chol$mael,chol$sex,mean) men women219.2115 195.1774 > tapply(chol$mael,chol$sex,var) Men women 90.69332 82.62161 Let's call group of men group 1 and group of women group 2. Which of the following is correct based on the information provided? μ1 = 219.2115 σ1 = 90.69332 s1 = 9.523304 None of the above is true I do not know.Brand Apple Samsung LG Basicmobilephone Othersmartphone Do notuse mobilephone Total Gender Male 108 30 5 2 23 0 168 Female 161 32 0 0 9 0 202 Total 269 62 5 2 32 0 370 b. Derive a relative frequency cross classification table based on row totals (i.e., gender) using the table in above. Brand Apple Samsung LG Basicmobilephone Othersmartphone Do notuse mobilephone Total Gender Male Female - TotalThe Government of Pakistan publishes information about Corona virus Cases in Pakistan. The following contingency table provides a cross classification of cities of Pakistan and Covid-19 Stats. City Covid-19 Stats Confirmed Cases Active Cases Deaths Recoveries AJK 271 95 6 170 Balochistan 4514 2900 49 1565 Islamabad 2898 2694 30 169 KPK 10485 7030 482 2973 Punjab 27850 20194 540 7116 Sindh 29647 14554 503 14590 At the 5% significance level, do the data provide sufficient evidence to conclude than an association exists between cities and Covid-19 stats?
- How many jobs are being considered in the historgramThe higher education department of Institute recorded data on the number of studentsenrolled in the different study majors for the years 2018 and 2019. Study Major 2018 2019 Statistics 1700 2250 Business Law 700 900 Accounting 1300 1450 Economics 750 1000 Finance 1450 1758 Marketing Management 1069 1189 Auditing 360 351 a) Use an appropriate graphical technique or chart to compare the number of enrolment in 2018and 2019 of the different study major. Display the chart. b) Use an appropriate graphical technique or chart to display the percentage value of the numberof enrolment of the different study major in 2018 and 2019. Display the chart.Slamet is a young entrepreneur who started his business by opening 5 “Bebek Mas Slamet” restaurants in different locations, namely in Blok S, Blok M, Blok A, Senayan, and Depok areas. Because it is still in its infancy, Slamet still frequently observes data on the number of sales portions of Fried Duck which is the mainstay of the restaurant "Bebek Mas Slamet". The following data shows the total sales of Bebek Goreng for the last two days for the time of day, afternoon, and evening that Slamet is observing from the four restaurant locations Penjualan Siang Sore Malam Blok S 40 41 30 32 43 43 Blok M 36 40 35 33 45 46 Blok A 40 45 39 48 46 50 Senayan 34 37 36 35 45 44 Depok 36 40 37 34 47 48 Help Slamet to analyze the data on the sales of fried duck over the past two days by answering some of the questions in this question. Some of the results of the calculation of the sum of squares…
- Use the given minimum and maximum data entries, and the number of classes, to find the class width, the lower class limits, and the upper class limits. minimum=9, maximum=53, 7 classes. What is the class width?The UWI Open Campus has commissioned a study to determine how student will perform in ECON3080 based on the hours of studying each semester. Students are separated by gender and the results of the study are given below: Males Females Hours Studying ECON3080 Grade Hours Studying ECON3080 Grade 377 92 182 51 280 100 99 41 187 99 44 38 225 62 387 90 157 91 200 75 280 99 331 48 80 32 263 78 374 88 377 93 141 59 297 49 385 72 229 88 238 30 254 80 105 94 347 80 180 53 119 55 288 48 142 67 241 96 293 45 72 57 318 36 314 82 319 94 196 81 60 60 209 79 319 42 306 79 184 81 167 51 193 56 380 44 239 34 389 88 144 49 122 49 97 100 354 76 337 33 327 94 330 78 181 70 157 57 349 66 262 43 117 35…Determine the mean waiting time W for an M/M/2 system when lambda = 2 and μ = 1.2. Compare this with the mean waiting time in an M/M/1 system whose arrival rate is lambda = 1 and service rate is μ = 1.2. Since the arrival rate per server is the same in both cases and service times don’t vary, should the wait times be the same in both cases?