Directions: a)Enter all your answers into this Word document (immediately following the relevant question) and submit the entire document. IMPORTANT: The name of your Word document MUST begin with your LAST NAME.b)When you use a Template to calculate an answer, copy and paste the results into this document.c)While putting your answers in a different color font is helpful, please DO NOT use red font since this is the color used to provide feedback on your answers.1.The following table shows a data set containing information for 25 of the shadow stocks tracked by the American Association of Individual Investors. Shadow stocks are common stocks of smaller companies that are not closely followed by Wall Street analysts.a.How many variables are in the data set?b.Which of the variables are categorical and which are quantitative?c.For the Exchange variable, show the frequency and the percent frequency for AMEX, NYSE, and OTC. Construct a bar graph similar to Figure 1.4 (in the textbook) for the Exchange variable.d.Show the frequency distribution for the Gross Profit Margin using he five intervals: 0 – 14.9, 15 – 29.9, 30 – 44.9, 45 – 59.9, and 60 – 74.9. Construct a histogram similar to Figure 1.5 (in the textbook).e.What is the average price/earnings ratio?DATA SET FOR 25 SHADOW STOCKSCompanyExchangeTicker SymbolMarket Cap ($ millions)Price/ Earnings RatioGross Profit Margin (%)DeWolfe CompaniesAMEXDWL36.48.436.7North Coast EnergyOTCNCEB52.56.259.3Hansen Natural Corp.OTCHANS41.114.644.8MarineMax, Inc.NYSEHZO111.57.223.8Nanometrics Inc.OTCNANO228.638.053.3Team Staff, Inc.OTCTSTF92.133.54.1Environmental TectonicsAMEXETC51.135.835.9Measurement SpecialtiesAMEXMSS101.826.837.6SEMCO Energy, Inc.NYSESEN193.418.723.6Party City CorporationOTCPCTY97.215.936.4Embrex, Inc.OTCEMBX136.518.959.5Tech/Ops Sercon, Inc.AMEXTO23.220.735.7ARCADIS NVOTCARCAF173.48.89.6Qiao Xing Universal Tele.OTCXING64.322.130.8Energy West Inc.OTCEWST29.19.716.3Barnwell Industries, Inc.AMEXBRN27.37.473.4Innodata CorporationOTCINOD66.111.029.6Medical Action IndustriesOTCMDCI137.126.930.6Instrumentarium Corp.OTCINMRY240.93.652.1Petroleum DevelopmentOTCPETD95.96.119.4Drexler Technology Corp.OTCDRXR233.645.653.6Gerber Childrenswear, Inc.NYSEGCW126.97.925.8Gaiam, Inc,OTCGAIA295.568.260.7Artesian Resources Corp.OTCARTNA62.820.545.5York Water CompanyOTCYORW92.222.974.22.People often wait till middle age to worry about having a healthy heart. However, recent studies have shown that earlier monitoring of risk factors such as blood pressure can be very beneficial (The Wall Street Journal, January 10, 2012). Having higher than normal blood pressure, a condition known as hypertension, is a major risk factor for heart disease. Suppose a large sample of individuals of various ages and gender was selected and that each individual’s blood pressure was measured to determine if they have hypertension. For the sample data, the following table shows the percentage of individuals with hypertension.a.Develop a side-by-side bar chart with age on the horizontal axis, the percentage of individuals with hypertension on the vertical axis, and side-by-side bars based on gender.b.What does the display you developed in part (a), indicate about hypertension and age?c.Comment on differences in gender.AgeMaleFemale20 - 3411.0%9.0%35 – 4424.0%19.0%45 – 5439.0%37.0%55 – 6457.0%56.0%65 – 7462.0%64.0%75 +73.3%79.0%3.The department of transportation’s study on driving speed and miles per gallon for midsize automobiles resulted in the data below.a.Plot the speed and miles per gallon using a scatter plot with speed on the horizontal axis.b.Compute the sample mean and standard deviation for each variable.c.Compute the sample correlation coefficient. Is there a positive or negative correlation between these two variables? Comment.Speed (Miles per Hour)30504055302560255055Miles per Gallon282525233032213526254.The U.S. Census Bureau serves as the leading source of quantitative data about the nation’s people and economy. The following cross-tabulation shows the number of households (1,000s) and the household income by the highest of level of education for the head of the household (U.S. Census Bureau website, 2013). Only households in which the head has a high school diploma or more are included.a.Develop a joint probability tableb.What is the probability of the head of one of these households having a master’s degree or more education?c.What is the probability of a household headed by someone with a high school diploma earning $100,000 or more?d.What is the probability of one of these households having an income below $25,000?e.What is the probability of a household headed by someone with a bachelor’s degree earning less than $25,000?f.Is household income independent of educational level?Highest Level of EducationHousehold IncomeUnder $25,000$25,000 to $49,999$50,000 to $99,999$100,000 and OverTOTALHigh School Graduate988099709441348232,773Bachelor’s Degree248441647666781722,131Master’s Degree6851205301940949003Doctoral Degree7916042210761737TOTAL13,12815,49920,54816,46965,644

1. Discussion Board:Consider the following sample data:101, 97, 189, 100, 95, 95, 104, 98, 2, 98, 102, 99, 101, 97, 192, 6, 103, 93, 104, 98, 99, 7, 95, 101, 102Pick any one of the two prompts to respond to.(1)Find the mean and standard deviation of this data.Determine what percentage of the data lies within 1-, 2-, and 3- standard deviations of the mean.Do the results seem to match what is predicted by the Empirical Rule? Why or why not?(2)Create a histogram (using the same tools and method used in the research project) and post the result. You wouldn't need to compute the summary statistics or boxplot. Instead, just think about this question: Does the histogram resemble a bell curve? How "close" to a bell curve does it resemble? Also, does the choice of class width affect your conclusion?2. Research Project 3- I have attached the research project document to this question.Thanks

Imagine that you are studying automobile buyers who choose to replace their current car near the end of its expected lifetime. Specifically, you are interested in how many different dealers late purchasers visit.Let µ be the mean number of dealers visited by all late replacement buyers. A random sample of 100 late replacement buyers yields a mean and standard deviation of the number of dealers visited of x¯ = 4.32 and s = 0.67.The test statistic and the corresponding p-values are listed below: Test Statistic p value 4.78 < 0.0001Tasks:Set up null and alternative hypotheses needed if we wish to attempt to provide evidence that µ differs from 4 dealers.Identify the test you will apply to test the hypothesis. Justify your choice.Choose an appropriate level of significance.Define type I and II errors in the context of your hypotheses.State your decision regarding the hypothesis.State the conclusion.Submission Details:Submit a Microsoft Word document that contains your responses to assignment questions, using APA style.Name your document SU_BUS7200_W1_ LastName_FirstInitial.docSubmit your document to the Submissions Area by the due date assigned.****Please no plagarism.