Concept explainers
A survey of enrollment at 35 community colleges across the United States yielded the following figures:
6414; 1550; 2109; 9350; 21828; 4300; 5944; 5722; 2825; 2044; 5.181; 5200; 5853; 2750; 10012; 6357; 27000; 9414; 7681;
3200; 17500; 9200; 7380; 18314; 6557; 13713; 17768; 7493; 2771; 2861; 1263; 7285; 28165; 5080; 11622
a. Oiganize the data into a chart with five intervals of equal width. Label the two columns Eniollment” and “Fiequenc”
b. Construct a histogram of the data.
c. If you were to build a new community college, siiiCh piece of Infotmation would be more valuable: the
d. Calculate the sample mean.
e. Calculate the sample standard deviation.
f. A school with an enrolkint of 8000 would be how many standard deviations away from the mean?
Trending nowThis is a popular solution!
Chapter 2 Solutions
Introductory Statistics
Additional Math Textbook Solutions
Calculus Volume 1
Elementary Statistics (13th Edition)
Essentials of Statistics (6th Edition)
Elementary Statistics
Introductory Statistics
Fundamentals of Statistics (5th Edition)
- A survey of enrollment at 35 community colleges across the United States yielded the following figures†. 6414; 1550; 2109; 9350; 21828; 4300; 5944; 5722; 2825; 2044; 5481; 5200; 5853; 2750; 10012; 6357; 27000; 9414; 7681; 3200; 17500; 9200; 7380; 18314; 6557; 13713; 17768; 7493; 2771; 2861; 1263; 7285; 28165; 5080; 11622 Calculate the sample mean. (Round your answer to one decimal place.)arrow_forwardA survey of enrollment at 35 Universities yielded the following: 6414; 1550; 2109; 9350; 21828; 4300; 5944; 5722; 2825; 2044; 5481; 5200; 5853; 2750; 10012; 6357; 27000; 9414; 7681; 3200; 17500; 9200; 7380; 18314; 6557; 13713; 17768; 7493; 2771; 2861; 1263; 7285; 28165; 5080; 11622 Organize the data into intervals of equal width. Label the two columns "Enrollment" and "Frequency." Construct a histogram of the data. If you were to build a new community college, which piece of information would be more valuable: the mode or the mean? Calculate the sample mean. Calculate the sample standard deviation. Find the quartiles and construct a box plot Is there any outlier?arrow_forwardThe average consumer unit spent $1874 on apparel and services in2006.That same year, 25 consumer units in the North-east had the following annual expenditures, in dollars, on apparel and services 1417, 1595, 2158, 1820, 1411, 2361, 2371, 2330, 1749, 1872, 2826, 2167, 2304, 1998, 2582, 1982, 1903, 2405, 1660, 2150, 2128, 1889, 2251, 2340, 1850 At the 5% significance level, do the data provide sufficient evidence to conclude that the 2006 mean annual expenditure on apparel and services for consumer units in the Northeast differed from the national mean of $1874?arrow_forward
- The following table gives the 2012 total payroll (in millions of dollars) and the percentage of games won during the 2012 season by each of the National League baseball teams. Total Payroll Тeam (millions of dollars) Runs Scored Arizona Diamondbacks 83 46 Atlanta Braves 89 35 Chicago Cubs 110 57 Cincinnati Reds 11 34 Colorado Rockies 93 39 Los Angeles Dodgers 264 51 Miami Marlins 59 38 Milwaukee Brewers 99 39 New York Mets 95 53 Philadelphia Phillies 127 33 Pittsburgh Pirates 82 58 San Diego Padres 92 40 San Francisco Giants 164 46 St. Louis Cardinals 112 59 Washington Nationals 156 45 The least squares regression line is u = 41.073 + 0.033x, where.x =total payroll (in millions of dollars) and y = percentage of games won. Predict the percentage of games won by a team with a total payroll of $87 million. Round your answer to the nearest integer.arrow_forwardIt was reported in 2007 that there were 7,546,000 people age 16 or older who had a "go outside the home" disability and that this was 21.6% of the population (of this age group). These are people who cannot go outside the home without help. How large was the total population (of this age group) in 2007?arrow_forwardUse the following data to calculate 1)the number of persons employed 2) the number of persons unemployed 3) the labour forcearrow_forward
- The annual salary for a sample of U.S. governors in 2017 are as follows: $120395, $177467, $130273, $139339, $177412, $99636, $150000, $159300, $123427, $108167, $149730, $110834, $105000, $142265, $148886, $98600, $106078, $109470, $160135, $175000, $150000, $105000. 1. Find the mean and the standard deviation for the sample of annual salaries. 2. What is the associated t - score for a 99% confidence level? 3. What is the margin of error for a confidence level of 99%? 4. Find a 99% confidence interval for the mean salary of U.S. governors in 2017. Assume the data is normally distributed.arrow_forwardThe highest and lowest birth rates in the United States in 2010 were in Utah and Maine, respectively. Utah reported 52,258 births with a population of about 2.8 million people. Maine reported 12,970 births with a population of about 1.3 million people. Use this data to answer the following questions. a) On average, how many people were born each day of the year in Utah? b) On average, how many people were born each day of the year in Maine? c) What was the birth rate in Utah in births per 100,000 residents? d) What was the birth rate in Maine in births per 100,000 residents? 2. In 2010, the highest and lowest death rates in the United States were in West Virginia and Hawaii, respectively. West Virginia reported 17,598 deaths with a population of about 1.9 million. Hawaii reported 8418 deaths with a population of 1.4 million. a) Compute the death rates in West Virginia and Hawaii in deaths per 100,000 residents. b) How many people die each day in West Virginia? c) How many…arrow_forwardUSA Today published the weekday circulation numbers for the top 15 newspapers in the country. Here are the data for the 6-month period ending in March 31, 2006. 2,272,815 2,149.786 1,141.464 751.832 724,242 708,477 673,379 579,079 513,387 438,722 427.771 398.329 398,246 397.288 365,011 a) Calculate the mean of this data set. Round to the nearest newspaper. b) Calculate the median of the data set of this data set. Round to the nearest newspaper. c) Which measure of center, the mean or the median, would better describe the center of the data set? Justify vour answer! .... B I S I X, x² Insert Formulaarrow_forward
- The following table shows the number of active military personnel in 2009, by region (including the District of Columbia). Pacific 229,634 Mountain 89,816 West South Central 177,336 West North Central 64,564 East North Central 26,384 East South Central 68,440 South Atlantic 376,034 Middle Atlantic 41,441 New England 8,579 Source: U.S. Census Bureau, Statistical Abstract of the United States: 2012, Table 508 (data) and U.S. Census Bureau, Census Regions and Divisions of the United States (regions). Calculate the mean and standard deviation for the population. Now take 10 samples of size 3 from the population. Use either simple random sampling or systematic sampling with the help of the table of random numbers in Appendix A. Calculate the mean for each sample. Once you have calculated the mean for each sample, calculate the mean of means (i.e., add up your 10 sample means and divide by 10). How does this mean compare with the mean for all…arrow_forwardListed 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? $51,456 $50,679 $52,816 $52,816 $51,393 O $54,026 $52,892 $52,719 $50,536 $51,633 --..- 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.)arrow_forwardThe national center for educational statistics reported that in 2008-2009, 178,564 master's degrees in education were awarded in the United States, and that this represented 27% of all master's degrees awarded. How many master's degrees were awarded in 2008-2009?arrow_forward
- MATLAB: An Introduction with ApplicationsStatisticsISBN:9781119256830Author:Amos GilatPublisher:John Wiley & Sons IncProbability and Statistics for Engineering and th...StatisticsISBN:9781305251809Author:Jay L. DevorePublisher:Cengage LearningStatistics for The Behavioral Sciences (MindTap C...StatisticsISBN:9781305504912Author:Frederick J Gravetter, Larry B. WallnauPublisher:Cengage Learning
- Elementary Statistics: Picturing the World (7th E...StatisticsISBN:9780134683416Author:Ron Larson, Betsy FarberPublisher:PEARSONThe Basic Practice of StatisticsStatisticsISBN:9781319042578Author:David S. Moore, William I. Notz, Michael A. FlignerPublisher:W. H. FreemanIntroduction to the Practice of StatisticsStatisticsISBN:9781319013387Author:David S. Moore, George P. McCabe, Bruce A. CraigPublisher:W. H. Freeman