A survey of recent e-commerce start-up firms was undertaken at an industry convention. Representatives of the firm were asked for the geographic location of the firm as well as the firm's outlook for growth in the coming year. The results are provided below. Expected Growth Low Medium High Total Northeast 57 36 105 South 42 18 24 84 Region Midwest 36 15 75 West 12 15 9 Total 147 93 60
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- The National Football League (NFL) holds its annual draft of the nation’s best college football players in April each year. Prior to the draft, various sporting news services project the players who will be drafted along with the order in which each will be selected, in what are called mock drafts. Players who are considered to have superior potential as professional football players are selected earlier in the draft. The following table shows, for the 2015 NFL draft, projections by one mock draft service of what position in the first round players from the Atlantic Coast Conference, the Big Ten Conference, the PAC-12 Conference, and the Southeastern Conference will be selected (DraftSite website, April 2015). Use the Kruskal–Wallis test to determine if there is any difference among NFL teams for players from these four conferences. Use alpha = .05what is the critical value? p-value? amd conclusionA recent report by PEW Research Center, published on February 25, 2022 summarizes American views on Russia threat as follows. “When it comes to rising U.S.- Russia tensions, an early January survey found that 26% of Americans considered the Russian military buildup near Ukraine to be a major threat to U.S. interests, while 33% said it was a minor threat to U.S. interests. Another 7% said it was no threat at all. A relatively large share of U.S. adults (33%) said they were not sure how Russian actions toward Ukraine affected U.S. interests.” Answer the questions based on the proportions listed above. (a) Use the binomial distribution to estimate the probability that more than half of 20 randomly selected US adults consider Russian military buildup near Ukraine to be a major or a minor threat to U.S. interests. (b) Use the normal approximation to estimate the probability that more than half of 20 randomly selected US adults consider Russian military buildup near Ukraine to be a major or…There is some evidence that, in the years 1981-85, a simple name change resulted in a short-term increase in the price of certain business firms' stocks (relative to the prices of similar stocks). (See D. Horsky and P. Swyngedouw, "Does it pay to change your company's name? A stock market perspective," Marketing Science v.6, pp. 320-35,1987.) Suppose that, to test the profitability of name changes in the more recent market (the past five years), we analyze the stock prices of a large sample of corporations shortly after they changed names, and we find that the mean relative increase in stock price was about 0.87 %, with a standard deviation of 16 %. Suppose that this mean and standard deviation apply to the population of all companies that changed names during the past five years. Complete the following statements about the distribution of relative increases in stock price for all companies that changed names during the past five years. (a) According to Chebyshev's theorem, at least…
- There is some evidence that, in the years 1981— 85, a simple name change resulted in a short-term increase in the price of certain business firms' stocks (relative to the prices of similar stocks). (See D. Horsky and P. Swyngedouw, "Does it pay to change your company's name? A stock market perspective," Marketing Science v.6 pp. 320— 35, 1987.) Suppose that, to test the profitability of name changes in the more recent market (the past five years), we analyze the stock prices of a large sample of corporations shortly after they changed names, and we find that the mean relative increase in stock price was about 0.76%, with a standard deviation of 0.12%. Suppose that this mean and standard deviation apply to the population of all companies that changed names during the past five years. Complete the following statements about the distribution of relative increases in stock price for all companies that changed names during the past five years. (a)According to Chebyshev's theorem,…High school seniors with strong academic records apply to the nation’s mostselective colleges in greater numbers each year. Because the number of slotsremains relatively stable, some colleges reject more early applicants. Suppose thatfor a recent admissions class, an Ivy League college received 2851 applications forearly admission. Of this group, it admitted 1033 students early, rejected 854outright, and deferred 964 to the regular admission pool for further consideration.In the past, this school has admitted 18% of the deferred early admission applicantsduring the regular admission process. Counting the students admitted early andthe students admitted during the regular admission process, the total class sizewas 2375. Let ?, ?, and ? represent the events that a student who applies for earlyadmission is admitted early, rejected outright, or deferred to the regularadmissions pool.a. Are events E and D mutually exclusive? Find (? ∩ ?)b. Suppose a student applies for early admission. What…In many colleges, educators are changing their approach to instruction from a “teacher/lecture-centeredmodel” to a “student-centered model” where students learn in a laboratory environment in which lectureis deemphasized and students can proceed at a pace suitable to their learning needs. In once schoolwhere this model was being introduced, of the 743 students who enrolled in the traditional lecture model, 364 passed; of the 567 in the student-centered model, 335 passed. Use a 0.05 level ofsignificance to test the claim that student-centered model results in a higher pass rate than the traditionalmodel?
- In 20162016, the Chicago Cubs defeated the Cleveland Indians to become the champions of Major League Baseball. Following are the salaries, in millions of dollars, of the players on each of these teams. Cubs20.0012.009.508.808.057.755.695.293.632.672.532.512.500.650.540.530.530.520.520.520.510.510.510.510.51Cubs20.005.290.540.5112.003.630.530.519.502.670.530.518.802.530.520.518.052.510.527.752.500.525.690.650.51A study of crowd-funded projects showed that overall a majority were successful, that is, raised at least the targeted goal amount. In an effort to identify project types that influence success, selected projects were subdivided into project categories (Film & Video , Games , Music , and Technology ).' Category Successful Not Successful Total Film and Video 15,005 23,736 38,741 Games 5,376 8,085 13,461 Music 14,981 20,125 35,106 Technology 5,468 7,563 13,031 Total 40,830 59,509 100,339 a. Construct contingency tables based on total percentages, row percentages, and column percentages. Complete the following contingency table based on total percentages. b. Which type of percentage long dash row, column, or total long dash is most informative for these data? c. What conclusions concerning the pattern of successful crowd-funded projects can you reach?Will improving customer service result in higher stock prices for the companies providing the better service? “When a company’s satisfaction score has improved over the prior year’s results and is above the national average (currently 76.2), studies show its shares have a good chance of outperforming the broad stock market in the long run”. The following satisfaction scores of three companies for the 4th quarters of 2018 and 2019 were obtained from the American Customer Satisfaction Index. Assume that the scores are based on a poll of 70 customers from each company. Because the polling has been done for several years, the standard deviation can be assumed to equal 8 points in each case. Let 2018 be population 1. Company 2018 Score 2019 Score Rite Aid 74 77 Expedia 76 78 J.C. Penney 78 79 2d. When conducting a hypothesis test with the values given for the standard deviation, sample size, and α, how large must the increase from 2018 to 2019 be…
- Will improving customer service result in higher stock prices for the companies providing the better service? “When a company’s satisfaction score has improved over the prior year’s results and is above the national average (currently 76.2), studies show its shares have a good chance of outperforming the broad stock market in the long run”. The following satisfaction scores of three companies for the 4th quarters of 2018 and 2019 were obtained from the American Customer Satisfaction Index. Assume that the scores are based on a poll of 70 customers from each company. Because the polling has been done for several years, the standard deviation can be assumed to equal 8 points in each case. Let 2018 be population 1. Company 2018 Score 2019 Score Rite Aid 74 77 Can you conclude that the 2019 score for Rite Aid is above the national average of 76.2? Use α=0.05.A recent poll found that 664 out of 1026 randomly selected people in a particular country felt that colleges and universities with big sports programs placed too much emphasis on athletics over academics. Assuming the conditions for the CLT are met, use the accompanying Minitab output to complete parts a and b below. N Event Sample p 95% CI for p 1026 664 0.647173 (0.617934, 0.676413) Question content area bottom b. Suppose a sports blogger wrote an article claiming that a majority of adults from this country believe that colleges and universities with big sports programs place too much emphasis on athletics over academics. Does this confidence interval support the blogger's claim? Explain your reasoning. A. No, it is not a plausible claim because the confidence interval contains 50%. B. No, it is not a plausible claim because the confidence interval does not contain only values above 50%. C. Yes, it is a…There is some evidence that, in the years−198185, a simple name change resulted in a short-term increase in the price of certain business firms' stocks (relative to the prices of similar stocks). (See D. Horsky and P. Swyngedouw, "Does it pay to change your company's name? A stock market perspective," Marketing Science v. 6, pp.−32035,1987.) Suppose that, to test the profitability of name changes in the more recent market (the past five years), we analyze the stock prices of a large sample of corporations shortly after they changed names, and we find that the mean relative increase in stock price was about 0.86 %, with a standard deviation of 0.10%. Suppose that this mean and standard deviation apply to the population of all companies that changed names during the past five years. Complete the following statements about the distribution of relative increases in stock price for all companies that changed names during the past five years. According to Chebyshev's theorem, at least 84%…
