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- Here are histograms of the values taken by three sample statistics in several hundred samples from the same population. The true value of the population parameter is marked on each histogram with an arrow. A В Which statistic has the largest bias among these three? O Graph B because the spread of the sampling distribution is large. O Graph C because the center of the sampling distribution does not equal the parameter. Graph A because the graph of the sampling distribution shows both high and low outliers.In a city with a population of 1 million, 500 people have been diagnosed with cancer, whereas the rest of the people do not have cancer. Such a class distribution is considered to be:Calculate the median of the following data: 3-4 4-5 5-6 6-7 7-8 3 7 12 16 22 X 8-9 20 X [Ans.: 7.55] The weekly wages of 1000 workers of a factory are shown in the following table: Calculate the mode of the following distribution: f Weekly wages 425 475 525 575 625 675 725 775 825 875 (less than) No. of Workers 2 10 43 123 293 506 719 864 955 1000 [Ans.: 673.59] 9-10 13 10-11 7 0-5 5-10 10-15 15-20 20-25 25-30 30-35 20 24 32 28 20 16 37 35-40 40-45 10 18 [Ans.: 13.33]
- A lottery contains 100 tickets. It costs exactly one dollar to play. (And you don't get your dollar back if you win!) There are 10 prizes: five 1dollar prizes, three 5 dollar prizes and two 20 dollar prizes. Let X be the amount won in the lottery. The distribution table for X, the net amount of money won is written as: A. X P(X) B. X P(X) C. X P(X) D. X P(X) 90 0.25 2 0.03 -1 0.9 -1 0.90 0.25 3 0.05 1 0.05 0 0.05 5 0.9 5 0.03 4 0.03 0.25 0.25 20 0.02 19 0.02 1) A is the correct distribution table. 2) B is the correct distribution table. 3) C is the correct distribution table. 4) D is the correct distribution table. 532 13The following data give the number of turnovers (fumbles and interceptions) made by both teams in each of the football games played by a university during the 2014 and 2015 seasons. 2 3 1 1 6 5 3 s 1 5 2 a. Construct a frequency distribution table for these data using single-valued classes b. Calculate the relative frequency and percentage for each class. c. What is the relative frequency of games in which there were 4 or 5 turnovers? d. Draw a bar graph for the frequency distribution of part a.Let p be the population proportion for the following condition. Find the point estimates for p and q. A study of 4115 adults from country A, 2195 think mainstream media is more interested in making money than in telling the truth. The point estimate for p, p, is nothing. (Round to three decimal places as needed.) The point estimate for q, q, is nothing. (Round to three decimal places as needed.)
- Mariah Jacobsen is the marketing manager at ABC Electronics, a major consumer electronics supplier in the northwest. Over the last five years, sales of the company's flagship product - the Wizer Anonymizer (the WA) - have been 45000, 45500, 44500, 46000 and 44000 units. This rate of sales is considered average for the product over the last twenty years or so. Ms. Jacobsen believes that the distribution of the WA's sales is normal with a standard deviation of 1500 units. If she were asked to make a forecast of next year's sales to upper management, what is the likelihood that she would be correct if she predicts sales between 43000 and 46000?Consider a small ferry that can accommodate cars and buses. The toll for cars is $3, and the toll for buses is $10. Let X and Y denote the number of cars and buses, respectively, carried on a single trip. Suppose the joint distribution of X and Y is as given in the table below. у 1 2 0.010 0.015 0.030 0.020 0.075 0.050 0,090 0.060 0.060 0.040 0.030 0.095 Compute the expected revenue from a single trip. (Round your answer to two decimal places.) $17.47 x p(x,y) X 0 1 2 3 4 5 Need Help? Bed Road t 0 0.025 0.050 0.050 0.150 0.100 0.050Consider the following two distributions of total PAC contributions given to five members of Congress: Distribution 1:$20,000, $40,000, $60,000, $80,000, $100,000 Distribution 2:$20,000, $40,000, $60,000, $80,000, $1,000,000 Compute the mode(s), median, and mean for each. Verbally interpret each figure, and compare the two distributions.
- The following table shows a data set containing information for 25 of the shadow stocks tracked by the American Association of Individual Investors. Shadow stocks are common stocks of smaller companies that are not closely followed by Wall Street analysts. 1. Show the frequency distribution for the Gross Profit Margin using he five intervals: 0 – 14.9, 15 – 29.9, 30 – 44.9, 45 – 59.9, and 60 – 74.9. Construct a histogram similar to Figure 1.5 (in the textbook). 2. What is the average price/earnings ratio? DATA SET FOR 25 SHADOW STOCKS Company Exchange Ticker Symbol Market Cap ($ millions) Price/ Earnings Ratio Gross Profit Margin (%) DeWolfe Companies AMEX DWL 36.4 8.4 36.7 North Coast Energy OTC NCEB 52.5 6.2 59.3 Hansen Natural Corp. OTC HANS 41.1 14.6 44.8 MarineMax, Inc. NYSE HZO 111.5 7.2 23.8 Nanometrics Inc. OTC NANO 228.6 38.0 53.3 Team Staff, Inc. OTC TSTF 92.1 33.5 4.1…. The data of amputee percentage is shown below. Group this data for Intervals start from 10%-20%. Calcul ate the mean, mode, medi an for the grouped data and compare between them. Draw the suitable graph for the resulting grouped data and state the cause of using this graph. 60% 57% 70% 21% 50% 53% 27% 28% 29% 60% 11% 27% 48% 35% 62% 43% 45% 23% 34% 20% 29% 13% 36% 43% 59% 62% 50% 31% 21% 56% 46% 14% 60% 48% 40% 45% 49% 52% 44% 63%The Central Limit Theorem (CLT) deals primarily with the distribution of the a. sample mean b. sample variance c. sample median d. sample proportion e. population mean
