. The population mean debt at graduation is less than $18,000. Test the hypotheses using 99% confidence level and summarize your conclusion. b. Find the confidence interval within 98% confidence level.
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A random sample of the average debt (in dollars) at graduation from 30 of the top 100
public colleges and universities is listed below. Assume σ = $2605.
16,012 15,784 16,597 18,105 12,665 14,734
14,835 14,437 17,225 16,953 15,309 15,297
13,607 13,374 19,410 18,385 22,312 16,656
20,142 17,821 12,701 22,400 15,730 17,673
18,978 13,661 12,580 14,392 16,000 15,176
a. The population mean debt at graduation is less than $18,000. Test the hypotheses
using 99% confidence level and summarize your conclusion.
b. Find the confidence interval within 98% confidence level.
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- Find the positive geometric mean between 4 and 64.2. This table shows the mean and median total cash income for married-couple households (including wages, public assistance, interest/dividends, Social Security, pensions, etc.), by race and Hispanic origin. a apaa Median Household Mean Household Income ($) Income ($) Asian 110,453 78,010 66,893 110,138 145,948 Black 97,667 Hispanic White, non-Hispanic 88,450 129,142 a. Pick one group and interpret the median and the mean. b. For each group, how do the mean and the median compare? Explain why you think this must be the case.The table below contains the total number of deaths worldwide as a result of earthquakes from 2000 to 2012. Year Total Number of Deaths 2000 231 2001 21,357 2002 11,685 2003 33,819 2004 228,802 2005 88,003 2006 6,605 2007 712 2008 2009, 2010 2011 2012 Total a. C. 88,011 1,790 320, 120 21,953 768 823,856 What is the proportion of deaths between 2007 and 2012? (not including 2007 or 2012; round to 3 decimal places) d. What percent of deaths occurred before 2001? Enter your answer without the percent sign. (round to 3 decimal places) What is the percent of deaths that occurred in 2003 or after 2010? Enter your answer without the percent sign. (Round to 3 decimal places) What is the proportion of deaths that happened before 2012? (Round to 3 decimal places.)
- 2.Tuition Fees: The following table shows the average annual tuition and fees at private andpublic 4-year colleges and universities for the school years 2009-2010 through 2014-2015. Year Private Public2009-2010 31,448 15,0142010-2011 32,617 15,9182011-2012 33,674 16,8052012-2013 35,074 17,4742013-2014 36,193 18,3722014-2015 37,385 19,203a. Using 1 for 2009-2010, 2 for 2010-2011, and so on, find the linear correlationcoefficient and the equation of the least-squares line for the tuition and fees at private 4-year colleges and universities, based on the year. Don Honorio Ventura State University Pasig, Candaba, Pampanga MMW103: Mathematics in the Modern Worldb. Using 1 for 2009-2010, 2 for 2010-2011, and so on, find the linear correlationcoefficient and the equation of the least-squares line for the tuition and fees at public 4-year colleges and universities, based on the year.c. Based on the linear correlation coefficients you found in parts a and b, are theequations you wrote in parts…The following table gives the 2019 total payroll (in millions of dollars) and the percentage of games won during the 2019 season by each of the American League baseball teams. Total Payroll Percentage of Team (millions of dollars) Games Won Baltimore Orioles 67 33.3 Boston Red Sox 213 51.9 Chicago White Sox 97 44.7 Cleveland Indians 107 57.4 Detroit Tigers 96 29.2 Houson Astros 177 66.0 Kansas City Royals 83 36.4 Los Angeles Angels 167 44.4 Minnesota Twins 114 62.3 New York Yankees 206 63.6 Oakland Athletics 97 59.9 Seattle Mariners 136 42.0 Tampa Bay Rays 69 59.3 Texas Rangers 102 48.1 Toronto Blue Jays 67 41.4 Source: www.cbssports.com Compute the linear correlation coefficient, p. Round your answer to three decimal places. P = i Does it make sense to test a hypothesis about p using these data? Explain.Total worldwide coal production (in millions of tons) by year for the decade ending in 2004 was as follows. 1995 5,086 2000 4,935 1996 5,108 2001 5,223 1997 5,136 2002 5,265 1998 5,046 2003 5,648 1999 4,941 2004 6,079 What was the median annual worldwide coal production (in millions of tons)?
- The following table gives the 2019 total payroll (in millions of dollars) and the percentage of games won during the 2019 season by each of the National League baseball teams. Total Payroll Percentage of Team Arizona Diamondbacks (millions of dollars) Games Won 108 52.5 Atlanta Braves 111 59.9 Chicago Cubs 208 51.9 Cincinnati Reds 129 46.3 Colorado Rockies 149 43.8 Los Angeles Dodgers 153 65.4 Miami Marlins 63 35.2 Milwaukee Brewers 130 54.9 New York Mets 162 53.1 Philadelphia Phillies 172 50.0 Pittsburgh Pirates 66 42.6 St. Louis Cardinals 150 56.2 San Diego Padres 94 43.2 San Francisco Giants 138 47.5 Washington Nationals 181 57.4 Source: www.cbssports.com Compute the coefficient of determination, p², with percentage of games won as the dependent variable. (Note that this data set belongs to a population.) Carry out all calculations exactly, and round the final answer to three decimal places. p² =Listed below are the annual tuition amounts of the 10 most expensive colleges in a country for a recent year. What does this "Top 10" list tell us about the population of all of that country's college tuitions? $52,534 $51,382 $51,698 $51,867 $51,397 $53,988 $53,097 $51,212 $53,075 $51,397 ... Find the mean, midrange, median, and mode of the data set. The mean of the data set is $ . (Round to two decimal places as needed.)Recent BASEBALL Team Payrolls and Wins Team Payroll Wins Boston Red Sox 197.041 93 Cleveland Indians 124.116 102 Los Angeles Angels 166.375 80 New York Yankees 196.39 91 Arizona Diamondbacks 127.829 93 Colorado Rockies 127.829 87 Philadelphia Phillies 100.041 66 San Diego Padres 69.624 71 Detroit Tigers 199.751 64 New York Mets 154.437 70 Seattle Mariners 154.319 78 Chicago Cubs 172.2 92 Atlanta Braves 122.603 72 Milwaukee Brewers 63.061 86 Toronto Blue Jays 163.382 76 Los Angeles Dodgers 241.149 104 Minnesota Twins 108.103 85 St. Louis Cardinals 148.153 83 Oakland Athletics 81.738 75 Texas Rangers 165.348 78 Houston Astros 124.344 101 Washington Nationals 164.335 97 Cincinnati Reds 95.376 68 Chicago White Sox 97.8 67 Miami Marlins 115.406 77 San Francisco Giants 180.823 64 Baltimore Orioles 164.326 75 Kansas City Royals 143.006 80 Pittsburgh Pirates 95.807 75 Tampa Bay Rays 70.065 80 1) If an MLB team spent an additional…
- The annual revenue of Amazon is given in the table below (sourceLinks to an external site.). Year Amazon Annual Revenue(Billions of US dollars) 2020 386.064 2019 280.522 2018 232.887 2017 177.866 2016 135.987 2015 107.006 2014 88.988 2013 74.452 2012 61.093 2011 48.077 2010 34.204 In what year will the estimated revenue of Amazon be 1,357 billion US dollars? Note: I am asking for the year, not the number of years since 2010. This may happen between two years. Round to the nearest year.A statistics instructor asks each student in his classes to report how much the student spent on textbooks for the semester. The figures reported by students are shown below. 725 735 555 420 385 480 505 270 405 285 585 450 515 560 500 395 545 595 365 455 505 345 555 485 560 475 520 455 355 590 550 495 505 505 495 465 370 355 480 385 515 605 480 410 485 560 475 350 465 435 455 380 320 535 565 520 510 495 485 650 490 295 555 540 565 490 570 380 610 600 390 375 390 335 525 445 540 490 485 555 440 560 405 590 520 470 560 510 340 385 585 635 415 455 590 385 505 510 545 405 470 560 495 515 495 595 565 615 470 680 465 470 310 470 505 465 375 360 650 460 560 500 375 500 370 415 490 440 470 525 535 640 385 475 425 595 505 365 485 495 390 380 585 690 Treat the data above as POPULATION data. The instructor takes a random sample of size from the population data and obtains the following sample data: x 405 385 495…U.S. Census Bureau estimates of the average number of persons per household in the United States for census years between 1850 and 2000 are shown in the following table.† Year Per House 1850 5.55 1860 5.28 1870 5.09 1880 5.04 1890 4.93 1900 4.76 1910 4.54 1920 4.34 1930 4.11 1940 3.67 1950 3.37 1960 3.35 1970 3.14 1980 2.76 1990 2.63 2000 2.59 (a) Using statistical software, determine the least squares line for these data. Use the equation of this line to estimate the number of persons per household in the year 2010. (Round your answer to two decimal places.) persons (b) The actual value of persons per household in 2010 was 2.58. What is the value of the prediction error for 2010? (Round your answer to two decimal places.) (c) What is the slope of the line? (Round your answer to four decimal places.) Interpret the slope in the context of these variables. (Round your answer to four decimal places.) Every year the average number of…
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