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

Option #2: Rental Condition Aardvark Auto Rental rents vehicles. Each day Aardvark Automotive Rental keeps track of whether its SUVs were returned in "failing" condition. Aardvark must use more of its resources to restore each SUV with a "failing" returned condition. Aardvark rents an average of five SUVs each day. The condition of returned SUVs is recorded for many days in which five SUVs were rented.Download the file titled SUV Failures. It contains a scatter plot of the number of failures versus frequency. To compare the results to the binomial distribution, complete the following: Explain why SUV rental condition scenario can be a binomial experiment. Using the SUV Failure scatter plot, construct a frequency distribution for the number of failures. Compute the mean number of failures. The formula for the mean is as follows: ∑ ( x ⋅ f ) ∑ f The terms x represent the total number of failures (0, 1, 2, 3, 4, 5) and f is the corresponding frequency (number of days where xᵢ failures occurred). Explain what the numerical result means. From the frequency distribution, construct the corresponding relative frequency distribution.Explain why the relative frequency distribution table is a probability distribution.Then, use Excel to create a scatter plot of the probability distribution:Select the two columns of the probability distribution. Click on INSERT, and then go to the Charts area and select Scatter. Then choose the first Scatter chart (the one without lines connecting). Using the frequency distribution, what is the SUV failure average? In part 3, note that the numerator in the formula for the mean is the total number of failures. The total number of trials is the denominator of the formula for the mean multiplied by 5. What does this average mean? The Binomial Distribution is uniquely determined by n, the number of trials, and p, the probability of "success" on each trial. Using Excel, construct the Binomial Probability Distribution for five trials, n, and probability of success, p, as the SUV failure average in part 5. Here is an explanation of the BINOM.DIST function in Excel: https://support.office.com/en-ie/article/BINOM-DIST-function-c5ae37b6-f39c-4be2-94c2-509a1480770c?ui=en-USrs=en-IEad=I (Links to an external site.) For example, In Excel=BINOM.DIST(7,15,0.7, FALSE)represents the probability of 7 successes out of 15 (n) trials. The 0.7 is the probability of success, p.Using the above value of n=5 with probability of success, p, as the SUV failure average in part 5, what is the probability of at least three SUV failures? Using the formula for the mean of the Binomial Distribution, what is the mean number of failures in part 6 above? In Excel, create a scatter plot for the Binomial Distribution. The instructions for creating a scatter plot are in part 4 above. Use the results above to compare the probability distribution of SUV failures and the Binomial Distribution. Compare the means in parts 4 and 6, too. If the probability distribution of SUV failures and the Binomial Distribution differ, explain why that is so. Do you think the Binomial Distribution is a good model for the SUV failure scenario? Why or why not? How can Aardvark Auto Rental use the binomial distribution to approximate SUV failures? In what other scenarios can Aardvark Auto Rental use the Binomial Distribution? Explain. Write a report that adheres to the formatting and APA expectations outlined on the CSU Global Writing Center (Links to an external site.). As with all written assignments at CSU Global, you should have in-text citations and a reference page.Submit your Excel file in addition to your report.Requirements: The paper must be written in third person. Your paper should be four to five pages in length (counting the title page and references page) and cite and integrate at least one credible outside source. The CSU Global Library (Links to an external site.) is a great place to find resources. Include a title page, introduction, body, conclusion, and a reference page. The introduction should describe or summarize the topic or problem. It might discuss the importance of the topic or how it affects you or society, or it might discuss or describe the unique terminology associated with the topic. The body of your paper should answer the questions posed in the problem. Explain how you approached and answered the question or solved the problem, and, for each question, show all steps involved. Be sure the Word document is in paragraph format, not numbered answers like a homework assignment. The conclusion should summarize your thoughts about what you have determined from the data and your analysis, often with a broader personal or societal perspective in mind. Nothing new should be introduced in the conclusion that was not previously discussed in the body paragraphs. Your conclusion should emanate from (be aligned with) your findings. Include any tables of data or calculations, calculated values, and/or graphs associated with this problem in the body of your assignment. Document formatting, citations, and style should conform to the CSU Global Writing Center (Links to an external site.). A short summary containing guidelines for paper formatting, citations, and references is contained in the New Sample APA Paper (Links to an external site.). In addition, information in the CSU Global Library (Links to an external site.) has many helpful areas (Writing Center, Writing Tips, Template Examples/Papers Essays, and others).