Each year, researchers at the U.S. Bureau of Labor Statistics (BLS) administer the American Time Use Survey (ATUS). Researchers estimate the average amount of time Americans spend on daily activities, such as working, housework, and leisure activities. In particular, one activity that is of interest is the average amount of time Americans spend watching television each day A researcher complied a random sample of 14 Americans and asked each person how much time they spent watching television each day. The results are given below. 2.11.3 0.9 3.3 2.3 1 4 2 3.1 0.8 4.4 1.5 2.2 3 Determine the point estimate , and the sample sadard deviation , Round the solutions to four decimal overline x places , if necessary . overline x = Box; s = Using a 98% confidence level , determine the margin of error, E, and a confidence interval for the average time Americans spend watching television each dayReport the confidence interval using interval notation Round solutions to two decimal places , if necessary The margin of error is given by A 98% confidence interval is given by
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- Using the following time series data of U.S. new car sales ($ millions), respond to the following items. (The data is sourced from https://www.census.gov/retail/index.html#mrts. Find “Monthly Retail Trade Report," then select "Time Series/Trend Charts" to find the data for U.S. new car sales.). $ Sales (Millions) $ 486,565 Year 2009 549,473 608,790 672,550 735,374 785,142 842,120 877,743 911,157 943,538 2010 2011 2012 2013 2014 2015 2016 2017 2018 E Click here for the Excel Data File b. Test for autocorrelation using the 0.05 significance level. (Negative amounts should be indicated by a minus sign. Round your answers to 2 decimal places.) Lagged Residuals Squared Difference Squared Residuals Year Sales Predicted Residuals 2009 $ 486,565 508,123.70 (21,558.70) 0.00 0.00 464,758,328.46 (10,455.50) (2,943.26) 2010 549,473 559,928.50 2011 608,790 611,733.30 2012 672,550 663,538.00 9,011.96 2013 735,374 715,342.80 20,031.19 2014 785.142 767,147.60 17,994.41 2015 842.120 818,952.40…arrow_forwardThe table below contains real data for the first two decades of AIDS reporting. Year # AIDS cases diagnosed # AIDS deaths Pre–1981 91 29 1981 319 121 1982 1,170 453 1983 3,076 1,482 1984 6,240 3,466 1985 11,776 6,878 1986 19,032 11,987 1987 28,564 16,162 1988 35,447 20,868 1989 42,674 27,591 1990 48,634 31,335 1991 59,660 36,560 1992 78,530 41,055 1993 78,834 44,730 1994 71,874 49,095 1995 68,505 49,456 1996 59,347 38,510 1997 47,149 20,736 1998 38,393 19,005 1999 25,174 18,454 2000 25,522 17,347 2001 25,643 17,402 2002 26,464 16,371 Total 802,118 489,093 Graph "year" vs. "# AIDS deaths." Do not include pre-1981. Label both axes with words. Scale both axes. Calculate the following. (Round your answers to the nearest whole number. Round the correlation coefficient r to four decimal places.) (a) a = (b) b = (c) r = (d) n =arrow_forwardRecent 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…arrow_forward
- Forecast the average number of viewers during the 2009 season using a three-period weighted moving average with weights 3, 2, and 1, applying 3 to the most recent data and 1 to the oldest data.arrow_forwardThe table below contains real data for the first two decades of AIDS reporting. Year # AIDS cases diagnosed # AIDS deaths Pre-1981 91 29 1981 319 121 1982 1,170 453 1983 3,076 1,482 1984 6,240 3,466 1985 11,776 6,878 1986 19,032 11,987 1987 28,564 16,162 1988 35,447 20,868 1989 42,674 27,591 1990 48,634 31,335 1991 59,660 36,560 1992 78,530 41,055 1993 78,834 44,730 1994 71,874 49,095 1995 68,505 49,456 1996 59,347 38,510 1997 47,149 20,736 1998 38,393 19,005 1999 25,174 18,454 2000 25,522 17,347 2001 25,643 17,402 2002 26,464 16,371 Total 802,118 489,093 Graph "year" versus "# AIDS cases diagnosed" (plot the scatter plot). Do not include pre-1981 data. Perform linear regression. Write the equations. (Round your answers to the nearest whole number. Round r to four decimal places.) (a) Linear Equation: 9 - (b) a = (c) b= (d) (e) n-arrow_forward3. Consumer Reports recently followed up with a survey to its readers asking about political preferences and primary choice of mobile device. There was a total of 11,214 Republican respondents. Of the 9,500 Democrats responding, 470 reported using a device not listed and 292 said they used a Windows phone. The total usage of Android devices recorded totaled 8,926; 3,921 of Android users were Republicans. Interestingly, there were an equal number of Apple and Android users reporting as Republicans. There were 4,528 Democrats using an Apple device. Only 2,672 of those surveyed reported as Independent, 51 said they used a Windows device and 428 said they used an Apple device. There were 3,652 total Windows device users surveyed. Consumer Reports Survey of Political Preference and Preferred Mobile Device Republican Independent Democrat Total Apple Android Windows Other Total Part A: Complete the two-way frequency table above. Part B: What is the joint relative frequency of Independents…arrow_forward
- In each scenario, identify the population, the sample, and any population parameters or sample statistics that are given. US realtors across the country are encouraged by the latest reports on the real estate market. Considering seasonal factors, sales rose by nearly 9% in the West, 3.5% in the South, 3.4% in the northeast, and 1% in the Midwest.arrow_forwardThe 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? 361 543 355 353 460 408 494 517 324 542 424 353 307 388 318 369 532 516 308 483 The cutoff point is minutes. (Round to the nearest minute.)arrow_forwardmpute Marshall – Edgeworth price index number for the following data by taking 2016 as base year. Items sold out in a men's wear 2017. 2016 GRSH Prices Quantity Quantity Prices Shirts 900 175 700 150 Pants 1200 150 1000 100 Sandals 600 100 500 70 Shoes 1800 60 1500 50 150 Belts Watches 400 100 600 250 300 1500 1200arrow_forward
- The 18 faculty members in a college Economics department range in age from 32 to 68 as presented in the step plot below. If the oldest faculty member retires and is replaced by a 26-year-old, the median age will: 324899 403569 534789 9 638 O decrease by 2 years. O stay the same. O increase by 2 years. increase by 4 years.arrow_forwardThe National Hurricane Center provides data that list the number of large (category 3, 4, or 5) hurricanes that have struck the United States, by decade, from 1851-2020. Is there sufficient evidence that the number of large hurricanes have remained constant (per decade)? What are the degrees of freedom? Decade Count Decade Count 1851-1860 6 1941-1950 10 1861-1870 1 1951-1960 8 1871-1880 7 1961-1970 6 1881-1890 5 1971-1980 4 1891-1900 8 1981-1990 5 1901-1910 4 1991-2000 5 1911-1920 7 2001-2010 8 1921-1930 5 2011-2020 10 1931-1940 8 Chi-squared test for given probabilitiesdata: stormsX-squared = 13.589, df = 16, p-value = 0.6293 A. 107 B. 17 C. 13.589 D. 16arrow_forwardThe manager of Hudson Auto Repair would like to get a better picture of the distribution of costs for new parts used in the engine tune-up jobs done in the garage. A sample of 50 customer invoices for tune-ups has been taken and the costs of parts, rounded to the nearest dollar, are listed below. 91 78 93 57 75 52 99 80 73 62 71 69 72 89 66 75 79 75 72 76 104 74 62 68 97 105 77 65 80 109 85 97 88 68 83 68 71 69 67 74 62 82 98 101 79 105 79 69 62 73 Develop a frequency distribution for these cost data. Use your own judgment to determine the number of classes and class width that provide a distribution that will be meaningful and helpful to the manager. a. Develop a stem-and-leaf display showing both the rank order and shape of the data set. (3) b. Develop a stretched stem-and-leaf display using two stems for each leading digit(s). (2) c. Which display is better at revealing the natural grouping and variation in the data? (1)arrow_forward
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