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- Urban Travel Times Population of cities and driving times are related, as shown in the accompanying table, which shows the 1960 population N, in thousands, for several cities, together with the average time T, in minutes, sent by residents driving to work. City Population N Driving time T Los Angeles 6489 16.8 Pittsburgh 1804 12.6 Washington 1808 14.3 Hutchinson 38 6.1 Nashville 347 10.8 Tallahassee 48 7.3 An analysis of these data, along with data from 17 other cities in the United States and Canada, led to a power model of average driving time as a function of population. a Construct a power model of driving time in minutes as a function of population measured in thousands b Is average driving time in Pittsburgh more or less than would be expected from its population? c If you wish to move to a smaller city to reduce your average driving time to work by 25, how much smaller should the city be?A sample of 20 students who had recently taken elementary statistics yielded the following information on brand of calculator owned. (T = Texas Instruments, H = Hewlett Packard, C = Casio, S = Sharp): C T S S T C S H C T H H H H T T T T H T (a) Estimate the true proportion of all such students who own a Texas Instruments calculator.(b) Of the 8 students who owned a TI calculator, 6 had graphing calculators. Estimate the proportion of students who do not own a TI graphing calculator.Life-saving drug: Penicillin is produced by the Penicillin fungus, which is grown in a broth whose sugar content must be carefully controlled. Several samples of broth were taken on three successive days, and the amount of dissolved sugars, in milligrams per milliliter, was measured on each sample. The results were as follows. Day 1: 5.2 5.0 5.4 5.2 5.3 5.0 4.9 5.0 5.2 5.0 4.6 5.3 Day 2: 5.6 4.8 4.9 5.3 5.2 4.9 5.4 5.0 5.4 4.9 5.5 5.4 Day 3: 5.9 4.9 5.3 5.4 5.2 5.5 5.0 5.8 5.5 5.4 5.4 5.1 Construct an ANOVA table. Round your answers to four decimal places as needed. One-way ANOVA: Sugar Concentration Source DF SS MS F P Days Error Total
- Background: The Worcester heart attack data provided below contains the systolic blood pressures of patients hospitalized for acute myocardial infarction (heart attack). This data is a protion of a larger data set compiled by Dr. Robert J. Goldberg of the Department of Cardiology at the University of Massachusetts Medical School between 1975 and 2001. The Center for Disease Control and Prevention (CDC) recommends that people maintain a systolic blood pressure of less than 140 mmHg. Systolic 154 120 147 126 134 80 194 150 211 169 157 194 149 152 138 140 125 166 197 139 123 210 166 115 144 170 118 167 113 168 108 128 148 129 140 185 151 132 149 171 199 183 93 82 182 211 121 171 187 158 113 117 123 135 119 152 194 144 111 129 161 117 122 123 111 130 149 136 126 81 230 99 162 96 139 122 191 150 120 149 154 103 111 113…A marketing study had as its purpose the examination and comparison of response rates bydifferent sized business to postal surveys. 200 large and 200 small companies were investigated. Acompany was deemed to have responded if the survey was returned within 6 weeks of beingposted out. The data are shown in the Table.Small Large TotalResponse 125 96 221No Response 75 104 179Total 200 200 400Chi-Sq = 8.504; DF = 1; P-Value = 0.004Table. Results of Survey ExperimentState the null and alternative hypotheses associated with the chi-squared test. Interpretthe result in this case.Engro group, who recently sold its Engro foods start-up for a multi-million-rupees sum, islooking for another investment for fresh capital. It is considering an investment in coal (X) andsolar (Y) power plant. For that they had a collected data on 5 different characteristics. Amandahas applied k-means clustering to this data for k = 2. Given the following data:Table 5.1 Observations X Y 1 20 18 2 8 20 3 36 26 4 22 12 5 14 4 a) Which value of k is the most appropriate to categorize these investments? Justify yourchoice with calculations.b) The two cluster centers after the first round of execution. c) The final two clusters. d) Visually represent the clusters of both parts (b) and (c).
- With the growth of internet service providers, a researcher decides to examine whether there is a relationship between cost of internet service per month (rounded to the nearest dollar) and degree of customer satisfaction (on a scale of 1 - 10 with a 1 being not at all satisfied and a 10 being extremely satisfied). The researcher only includes programs with comparable types of services. A sample of the data is provided below: dollars satisfaction 11 6 18 8 17 10 15 4 9 9 5 6 12 3 19 5 22 2 25 10 a. Determine what is the appropriate statistical procedure. b. Explicitly state the null hypothesis. c. Execute the proper calculations with the appropriate formula(s). d. Please state your conclusion based on the results you obtain. Present your results using APA format if appropriate. e. Briefly state why you used this particular statistical procedure. - Assume p = .05 unless otherwise indicated.The activities required to service a car at the Exclusive Car Mart is summarised in the following table: Table 1: Activity Times and Predecessors Minutes Required Activity Description Predecessor Activity Optimistic a Most Likely m Pessimistic b A B C D E F G H Drain Oil Replace Filter Refill Oil Check Tyres Wash Windows Fill Fluids Service A/c Final Test --- A B, E --- D E C C, F 3 2 3 3 4 4 3 1.5 4.5 3 4.5 4 3 4 3 2 7 5 6 6 7 6 5 3.5 The variability in times required to perform each activity is due to the different types, sizes, and conditions of the cars to be serviced. Required Draw the activity network for this problem (either AON or AOA) Determine the Expected Time and Variance for each activity. Round to 2 decimal places where applicable. Show the activity schedule (ES, EF, LS, and LF) as well as slack. Determine and state the critical path for this project. This must be based on your work in c) and not by inspection.…Toward the middle of the harvesting season, peaches for canning come in three types, early, late, and extra late, depending on the expected date of ripening. During a certain week, the data to the right were recorded at a fruit delivery station. Complete parts (a) through (d) below. 40 trucks went out carrying early peaches; 71 carried late peaches; 52 carried extra late peaches; 26 carried early and late; 32 carried late and extra late; 11 carried early and extra late; 6 carried all three; 5 carried only figs (no peaches at all). a) How many trucks carried only late variety peaches? trucks (Type a whole number.) (b) How many carried only extra late? trucks (Type a whole number.) (c) How many carried only one type of peach? trucks (Type a whole number.) (d)How many trucks (in all) went out during the week? trucks (Type a whole number.)