**Problem 4 - Big Salary for the Boss**Following is the total compensation, in millions of dollars, for Chief Executive Officers (CEOs) at 20 large U.S. corporations in a recent year.```2.75, 9.15, 2.32, 23.84, 13.12, 9.91, 6.39, 2.19, 4.28, 0.70, 3.18, 8.20, 1.65, 4.64, 6.05, 6.59, 11.31, 25.84, 2.85, 2.85```A research firm would like to analyze the mean compensation of CEOs in the U.S. and has decided to construct a 99% confidence interval to estimate the mean compensation amount.a. **Explain why it is necessary to check whether the population is approximately normal before constructing a confidence interval.**b. **Construct a box plot of these data using Excel.** This box plot should be on your Excel file with appropriate formatting and labels.c. **Is it reasonable to assume that this sample came from a normal population?** Explain.d. **If appropriate, construct a 99% confidence interval for the mean compensation of a CEO in the U.S. using Excel procedures similar to those used in the previous problems.** If it is not appropriate to construct the confidence interval, then explain why it is not appropriate.

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MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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The table below shows the alcohol consumption per capita for seventeen high-income countries in 2000 according to https://ourworldindata.org.Country Liters of Alcohol Consumption per Capita in 1980 Australia 9.7Austria 11.1Belgium 11.5Canada 7.6Denmark 9.8Finland 5.1France 13.3Germany 12.7Italy 10.8Japan 6.5Netherlands 8.6New Zealand 9.1Norway 5.2Sweden 5.9Switzerland 11.4United Kingdom 8United States 7.71) Calculate the mean, median, mode, and standard deviation of the liters of alcohol consumption per capita for these 17 countries. Use your TI-84 calculator or Excel as necessary. If you calculate them by hand, include your work (neatly written on a separate sheet of paper!!). If you use Excel, include the Excel worksheet. If you use your TI-84, show what you’ve entered and the results you get. (You could take photos of your calculator and include those if you’d rather.)Mean = _______________________ (Round to 1 decimal place.)Median = ______________________Mode(s) =…
William Profit is studying companies going public for the first time. He isparticularly interested in the relationship between the size of the offering and theprice per share. A sample of 15 companies that recently went public revealed the following information: y x 10.8 9 11.3 94.4 11.2 27.3 11.1 179.2 11.1 71.9 11.2 97.9 11 93.5 10.7 70 11.3 160.7 10.6 96.5 10.5 83 10.3 23.5 10.7 58.7 11 93.8 10.8 34.4
1. 50 Companies percentages of revenues spent on R&D are given below. 5.2 6.9 7.8 8.8 |10.5 5.6 6.9 7.9 9 10.5 5.9 7.1 8 9.2 |10.6| 6 | 7.1 |8 |9.4 |11.1 6.5 7.2 8.1 9.5 |11.3 |6.5 7.2 8.2 9.5 |11.7 6.5 7.5 8.2 9.6 |12.0 6.6 7.5 8.2 9.7 |13.2 6.8 7.78.4 9.9 |13.5 6.9 7.7 8.5|10.1|13.5 Find the following Mean = Median= Mode= • Range= Variance= • Lower Quartile= Upper Quartile= • Inter Quartile Range= • Standard Deviation= First SD interval, Number of data % of data Second SD interval Number of data % of data Third SD interval %3| Number of data % of data =
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? The cutoff point is minutes. (Round to the nearest minute.)
All companies are rightly concerned about the income disparity between Males and Females and FringeTech is no different. Is there any evidence in the data that Males are earning more than Females on average? Gender Income ($000) F 94.1 F 69.4 F 81.7 F 72.1 F 90.1 F 84.4 F 77.5 F 124 F 71.2 F 72.1 F 75.7 F 79.8 F 76.7 F 65.1 F 83.8 F 85.8 F 70.6 F 93.3 F 80.1 F 80.8 F 85.5 F 62.1 F 88.5 F 88.2 F 110.3 F 124.6 F 97.6 F 82.4 F 58.2 F 75.5 F 75.1 F 70.5 F 83.9 F 95.5 F 150.2 F 84.4 F 88.7 F 135.4 F 72.3 F 65.5 F 80.3 F 136.8 F 75.8 F 47.5 F 86.6 F 64.4 F 99.3 F 40 F 69.1 F 107.7 F 74.7 F 90.3 F 82.2 F 97 F 125.3 F 111.1 F 60.4 F 102.7 F 89 F 69.4 F 61.6 F 93.1 F 87.2 F 67.7 F 130.6 F 83.2 F 50.4 F 132.7 F 69.1 F 103.6 F 80.2 F 73.9 F 56.3 F 130.2 F 80.7 M 83.1 M 95.4 M 128.2 M 127.3 M 96.8 M 94 M 125.5 M 107.2 M 92.4 M…
The table below shows the alcohol consumption per capita for seventeen high-income countries in 2000 according to https://ourworldindata.org. Country Liters of Alcohol Consumption per Capita in 1980 Australia 9.7Austria 11.1Belgium 11.5Canada 7.6Denmark 9.8Finland 5.1France 13.3Germany 12.7Italy 10.8Japan 6.5Netherlands 8.6New Zealand 9.1Norway 5.2Sweden 5.9Switzerland 11.4United Kingdom 8United States 7.7 1) Calculate the mean, median, mode, and standard deviation of the liters of alcohol consumption per capita for these 17 countries. Use your TI-84 calculator or Excel as necessary. If you calculate them by hand, include your work (neatly written on a separate sheet of paper!!). If you use Excel, include the Excel worksheet. If you use your TI-84, show what you’ve entered and the results you get. (You could take photos of your calculator and include those if you’d rather.)Mean = _______________________ (Round to 1 decimal place.)Median = ______________________Mode(s) =…
Wins Attendance (In Millions) 65 2.06 91 2.51 66 1.73 89 3.05 75 3.06 88 2.19 91 2.06 69 1.39 83 2.88 81 2.46 80 1.54 76 2.33 67 1.62 80 3.25 80 3.56 77 2.78 94 3.22 79 2.56 95 3.77 81 1.42 97 3.65 57 1.61 90 2.13 92 3.04 61 2.09 86 3.3 96 1.84 90 2.51 85 1.63 69 1.83 Draw a scatter diagram depicting the correlation between the two variables. Determine the correlation coefficient between the two variables using Excel. Present a regression output between a dependent and one independent variable. Obtain estimated coefficients and R-squared and interpret them. Write a short report on the findings.
The following distribution shows the annual average cost of a given commodity (100 pound bag of cement) for the given years. 1. Complete the table by computing the 4-year and 5-year SMAS and EMAs using your own commodity. Year 2000 2001 2002 2003 2004 2005 2006 2007 2008 2009 2010 2011 2012 2013 2014 2015 2016 2017 2018 2019 Commodity Four- Price Year $6.75 $6.70 $7.75 $6.72 $5.75 $6.70 $5.99 $6.25 $6.35 $7.15 $6.95 $6.45 $8.75 $8.50 $9.25 $9.33 $8.95 $9.15 $9.55 $8.85 Four-Year Five-Year Exponential Simple Moving Averages (SMA Simple Moving Moving Averages Averages (EMA) (SMA) Five-Year Exponential Moving Averages (EMA)
3) Estimate the average number of years they stay at their current house for all citizens living in that area.
The following data represent the monthly phone use, in minutes, of a customor onrolled 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? 530 496 331 467 548 346 511 377 411 415 360 339 363 372 343 477 474 333 610 441 The cutoff point isminutes. (Round to the nearest minute)
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