The box-and-whisker plot below shows the distribution of the numbers of calories per serving for a selection of breakfast cereals. Breakfast Cereal Calories per Serving 主丰 50 65 80 95 110 125 140 155 170 185 200 Based on the box-and-whisker plot, what is the median number of caories per serving for the breakfast cereals? A. 110 B 120 125 D 135
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- he Princeton Review, a company that tracks information about various colleges, reports that 30% of CofC students are out-of-state students. If we took many samples of CofC students, and for each sample calculate the proportion $\hat{p}$ of out-of-state students in that sample, what would be the center of this distribution?The over 40 years age distribution of two oldest assemblies in XYZ District were given to you on arrival at your first station. The age distributions are presented below. Assembly A 82 66 70 77 94 67 73 78 82 74 90 45 62 85 57 72 94 83 85 70 95 71 89 87 75 74 Assembly B 85 89 70 76 49 66 71 71 75 82 73 77 68 79 55 91 52 63 64 84 81 65 73 67 66 72 i) Construct a single stem and leaf plot with Assembly A on the right and Assembly B on the left. Comment on the distribution Solve the equations: i) ii) 9 (3X+4)-2X=11+5(4X-1) iii)The manager of a fleet of automobiles is testing two brands of radial tires. He assigns one tire of each brand at random to the two rear wheels of eight cars and runs the cars until the tires wear out. The data (in kilometers) are shown below: Car Brand 1 Brand 2 1 34900 36700 2 45500 47200 3 37100 37700 4 32000 31400 5 48900 47800 6 32800 36900 7 38500 38900 8 30100 31800 Find a 95% confidence interval on the difference in mean mileage. Assume that the differences of the distances are approximately normally distributed.
- The accounting department of Plank Inc. has been asked to estimate the average salaries of its senior executives worldwide in order to calculate a productivity bonus increase. For this, a random sample of 5 of its executives was taken, according to these data determine the point estimate of the mean of its executives' salaries.Salaries in thousands of US$ are: 2,298; 2,470; 2,407; 2,548; 2,099Select one:a. x ̅ =2,364.4b. x ̅ =2.365c. x ̅ =3,640.4d. x ̅ =23.700e. x ̅ =29.554,5The distribution of the variable Local Tuition is skewed to the: Select one: a. Right b. Left Business School Full-Time Enrollment Students per Faculty Local Tuition ($) Foreign Tuitiion ($) English Test Work Experience Starting Salary ($) 1 Melbourne Business School 200 5 24,420 29,600 No Yes 71,400 2 University of New South Wales (Sydney) 228 4 19,993 32,582 No Yes 65,200 3 Indian Institute of Management (Ahmedabad) 392 5 4,300 4,300 No No 7,100 4 Chinese University of Hong Kong 90 5 11,140 11,140 No No 31,000 5 International University of Japan (Niigata) 126 4 33,060 33,060 Yes No 87,000 6 Asian Institute of Management (Manila) 389 5 7,562 9,000 No Yes 22,800 7 Indian Institute of Management (Bangalore) 380 5 3,935 16,000 No No 7,500 8 National University of Singapore 147 6 6,146 7,170 Yes Yes 43,300 9 Indian Institute of Management (Calcutta) 463 8 2,880 16,000 No No 7,400 10 Australian National University (Canberra) 42 2 20,300 20,300 Yes…A car insurance broker for high risk drivers compares the total number of demerit points on the license of each driver and their monthly car insurance premium. The data is recorded for sample of 20 different high risk drivers. Demerit points. 7 7 11 5 10 11 13 10 9 17 8 10 4 19 6 8 5 4 8 17 Monthly Insurance Premium 157 205 346 194 309 596 687 406 236 716 244 510 118 821 275 276 276 269 276 786 Please give the excel formula and or the spreadsheet. Thank you.
- The business objective of the director of Game Ghana is to forecast monthly sales for all new stores, based on the number of profiled customers who live no more than 30 minutes from a Game store. To examine the relationship between the number of profiled customers who live within a fixed radius from a Game store and it monthly sales, data were collected from a sample of 10 stores:Store 1 2 3 4 5 6 7 8 9 10No of customers (‘000)5728432453 Monthly Sales (‘000)81261487910128(a) Use the least-squares method to compute the regression coefficients ? ??? ?(b) Write down the estimated equation and predict the monthly sales if there are 9000 customers(c) Determine the coefficient of determination, r2 and explain its meaning in this problem(d) Determine the value of the extent of relationship between monthly sales and number of customers, and interpret your results.A group of 13 health children and adolescents participated in a study designed to analyze the relationship between age (AGE in years) and average total sleep time (ATST in minutes). To obtain a measure for ATST, recordings were taken on each subject on three consecutive nights and then averaged. The results obtained are given below along with the corresponding scatter plot. Age ATST 4.4 586 14 461.75 10.1 491.1 6.7 565 11.5 462 9.6 532.1 12.4 477.6 8.9 515.2 11.1 493 7.75 528.3 5.5 575.9 8.6 532.5 7.2 530.5 Estimated regression line: y-hat = 648.483 - 14.041x Suppose that a new subject is added to the study data and that subject is 12.5 years old with an AST of 580 minutes. IF the regression model were to be refit with this additional data point, would the new slope be greater or less than -14.041? Justify your response.The National Football League (NFL) records a variety of performance data for individuals and teams. To investigate the importance of passing on the percentage of games won by a team, the following data show the conference (Conf), average number of passing yards per attempt (Yds/Att), the number of interceptions thrown per attempt (Int/Att), and the percentage of games won (Win%) for a random sample of 16 NFL teams for one full season. Team Conf Yds/Att Int/Att Win% Arizona Cardinals NFC 6.5 0.042 50.0 Atlanta Falcons NFC 7.1 0.022 62.5 Carolina Panthers NFC 7.4 0.033 37.5 Cincinnati Bengals AFC 6.2 0.026 56.3 Detroit Lions NFC 7.2 0.024 62.5 Green Bay Packers NFC 8.9 0.014 93.8 Houstan Texans AFC 7.5 0.019 62.5 Indianapolis Colts AFC 5.6 0.026 12.5 Jacksonville Jaguars AFC 4.6 0.032 31.3 Minnesota Vikings NFC 5.8 0.033 18.8 New England Patriots AFC 8.3 0.020 81.3 New Orleans Saints NFC 8.1 0.021 81.3 Oakland Raiders AFC 7.6 0.044 50.0 San Francisco 49ers…
- The manager of a company that assembles and exports a particular type of pumps wants to know if there is a link between the number of hours spent by assembly workers in training and their productivity on the job. A random sample of 7 assembly workers was selected and their performances evaluated. The summary of the obtained data is listed in Table 2. Table 2: Shows the time spend by workers during training and their productivity on jobTraining hours (x) 20 36 20 38 40 33 32Output (y) 40 70 44 56 60 48 62 (i) Construct a scatter plot of the sample data and comment on the relationship between hours of training and output. (ii) Estimate a simple regression line, using the method of least squares, to identify a linear relationship between the hours of training received by assembly workers and their output (i.e. number of units assembled per day). (iii) Interpret, in context, the gradient/slope of the regression line. (iv) Estimated the output at 20 hours training time. (v) Interpret the…The director of cooperative education at a state college wants to examine the effect of cooperative education job experience on marketability in the work place. She takes a random sample of 4 students. For these 4, she finds out how many times each had a cooperative education job and how many job offers they received upon graduation. These data are presented in the table below. Student CoopJobs JobOffer 1 1 4 2 2 6 3 1 3 4 0 1 set up a scatter plot with Coop Jobs as the horizontal axis and Job offer as the vertical axisA report gave the accompanying data for the 50 U.S. states on the percentage of the population that was born in the state and is still living there. The data values have been arranged in order from largest to smallest. 75.6 71.4 69.6 69.0 68.6 67.5 66.7 66.3 66.1 66.0 66.0 65.2 64.6 64.3 63.8 63.7 62.8 62.6 61.8 61.8 61.5 61.1 59.2 59.0 58.7 57.3 57.1 55.8 55.8 55.5 55.3 54.9 54.7 54.5 54.0 54.0 53.6 53.5 52.8 52.5 50.2 50.2 48.9 48.7 48.2 47.3 43.4 40.4 35.8 28.2 (a) Find the values of the median, the lower quartile, and the upper quartile. (Enter your answers to one decimal place.) median = lower quartile = upper quartile = (b) The two smallest values in the data set are 35.8 (Alaska) and 28.2 (Wyoming). Are these two states outliers? Alaska is an outlier, but Wyoming is not.Neither Alaska nor Wyoming are outliers. Wyoming is an outlier, but Alaska is not.Alaska and Wyoming are both outliers. (c) Construct a boxplot for this data set.