Construct the quantity index number for 1998 from the following data under: (i) Simple aggregative method and (ii) Simple relative method. Quantities Items Price in 1993 in 1993 in 1998 M 10 20 20 30 10 25 40 12 30 50 15
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- The following data is given for Soweto Hospital with regards to the number of patients admitted in the first half of the year ended 30 June 2023 and the total costs incurred by the hospital to treat these patients in this period:MonthNumber of patients admittedTotal costs incurred by the hospital (Rands)January20050 000February20050 000March25055 000April25055 000May30060 000June15045 000Required:Calculate the variable cost per unit and total fixed costs by using the Least Squares (Simple Regression Analysis) method.***Only do this question using Minitab and be sure to show images and steps used*** Using Minitab and Interpreting Results cpafirm.csv (data for minitab): amount0.001.200.431.001.470.830.503.341.581.46-0.36-1.102.600.000.00-1.700.831.990.001.34 Medlin and Associates is a regional certified public accounting (CPA) firm located near Minneapolis. Recently, a team conducted an audit for a discount chain. One part of the audit involved developing anestimate for the mean dollar error in total charges that occurs during the checkout process. The firm wishes to develop a 95% confidence interval estimate for the population mean. The data cpaf irm.csvcan be read into Minitab. Note that positive values indicate that the customer was overcharged. Your statistics instructor claims that 60 percent of the students who take her Elementary Statistics class go through life feeling more enriched. For some reason that she can’t quite figure out, mostpeople don’t believe her. You decide to check this…The following data represent the monthly phone use, in minutes, of a customer enrolled in a fraud prevention program for the past 20 months. The phone company decides to use the upper fence as the cutoff point for the number of minutes at which the customer should be contacted. What is the cutoff point? 510398398515357327480491308408483394320338463321374307538409
- The following data represent the square footage of 10 three-bedroom condos for sale in Hilton Head, South Carolina. 1,559 ------ 1,625 ------ 1,167 ------ 1,264 ------ 1,676 ------ 1,300 ------ 2,058 ------ 1,126 ------ 1,858 ------ 1,321 Determine the interquartile range for this sample. Are there any outliers in this data set?Jensen Tire & Auto is in the process of deciding whether to purchase a maintenance contract for its new computer wheel alignment and balancing machine. Managers feel that maintenance expense should be related to usage, and they collected the following information on weekly usage (hours) and annual maintenance expense (in hundreds of dollars).The following data has been collected on the interarrival times of patients to an emergency department: 3.772, 1.761, 0.743, 15.988, 0.412, 7.541, 6.900, 3.447, 7.024, 1.061, 5.449, 0.309, 0.766, 4.807, 8.143, 0.093, 9.524, 0.012, 4.634, and 0.195 minutes. Estimate the squared coefficient of variation of the arrival process. Is the arrival process likely to be Poisson? Why or why not? Estimate the arrival rate?
- 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?The following are the drying times (minutes) of 100sheets coated with polyurethane under various ambientconditions:45.6 50.3 55.1 63.0 58.2 65.5 51.1 57.4 60.4 54.956.1 62.1 43.5 63.8 64.9 59.9 63.0 67.7 53.8 57.961.8 52.2 61.2 51.6 58.6 73.8 53.9 64.1 57.2 75.455.9 70.1 46.2 63.6 56.0 48.1 62.2 58.8 50.8 68.151.4 73.9 66.7 42.9 71.0 56.1 60.8 58.6 70.6 62.259.9 47.5 72.5 62.0 56.8 54.3 61.0 66.3 52.6 63.564.3 63.6 53.5 55.1 62.8 63.3 64.7 54.9 54.4 69.664.2 59.3 60.6 57.1 68.3 46.7 73.7 56.8 62.9 58.468.5 68.9 62.1 62.8 74.4 43.8 40.0 64.4 50.8 49.955.8 66.8 67.0 64.8 57.6 68.3 42.5 64.4 48.3 56.5Construct a frequency distribution of these data, usingeight classes.Is the number of games won by a major league baseball team in a season related to the team batting average? The table below shows the number of games won and the batting average (in thousandths) of 8 teams. Team Games Won Batting Average 1 9797 269269 2 9595 275275 3 8686 273273 4 9999 261261 5 6464 285285 6 118118 260260 7 8787 274274 8 8888 280280 Using games won as the explanatory variable ?x, compute the correlation coefficient
- Is the number of games won by a major league baseball team in a season related to the team batting average? The table below shows the number of games won and the batting average (in thousandths) of 8 teams. Team Games Won Batting Average 1 8383 289289 2 116116 290290 3 101101 287287 4 8181 262262 5 110110 288288 6 119119 269269 7 6060 268268 8 6161 280280 Using games won as the explanatory variable xx, do the following: (a) The correlation coefficient is r=r= . (b) The equation of the least squares line is y^=y^=The United States Census Bureau provided the following estimates and predic- tions for the total world population (* data from 2012, 2020-2050 numbers are predictions). Year Population 1950 2,556,518,868 1960 3,040,617,514 1970 3,707,921,742 1980 4,447,068,714 1990 5,274,320,491 2000 6,073,265,234 2010 6,838,220,183 2020* 7,608,075,253 2030* 8,295,925,812 2040* 8,897,180,403 2050* 9,404,296,384 Two major models used in predicting population growths are the Exponential Model P(t) = P0ert and the Logistic Model P(t) = k1 + be−ct Let t = 0 represent the year 1950 and plot the given dataset in a graph with viewing dimensions [−10, 110] for the x-coordinate and [0, 1010] for the y-coordinate. 1 In a paragraph discuss the properties of both models, then explain why one of the models fits the dataset better. Things you should touch upon in your explanations include but are not limited to: Assumptions being made by the model on the dataset, The behavior of the model with respect to the…In a sample of 300 days, St. Petersburg has 171foggy days. In an independent sample of 200 days,Stockholm has 92 foggy days. Compute the 95% CIfor the difference between the two populationproportions of foggy days.
