onsider the following information regarding the dividends paid per share by companies in the banking, ansportation, and energy industries. Does the data provide evidence to conclude that there is a significant ifference among the average dividends paid per share for the three different industries? Companies Banking Transportation Energy 1.52 1.00 2.08 1.19 0.35 1.28
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- Estimate the ASN curve for the plan derived in the attached problem. According to your curve, what is the expected number of microprocessors that must be tested when the true proportion of defectives in the lot isa. 0.1 percent?b. 1.0 percent?c. 10 percent?The table below represents the number of portable household generators sold by 20 Gauteng-based enterprises in the fourth quarter of 2022. 35 50 66 45 25 79 31 42 19 41 5 75 62 48 69 56 83 45 39 98 Given that the average selling price of a portable household generator was R15, 000 during the fourth quarter of 2022, what is the expected total revenue generated from the sale of the portable household generators by all the enterprises that sold at least 60 portable household generators during the quarter? Using the raw data, determine the standard deviation and coefficient of variation of the sample data. Given that the average selling price of a portable household generator was R15, 000 during the fourth quarter of 2022, what is the expected total revenue generated from the sale of the portable household generators by all the enterprises that sold at least 60 portable household generators during the quarter? 2. To extract…c. The proportion of buyers who actually make a purchase appears to be relatively constant over time. In 2015, among a sample of 389 on-line buyers, 159 purchased merchandise. In 2019, for a sample of 301 on-line buyers, 138 purchased merchandise. At the .05 level of significance, did the proportion of on-line buyers change from 2015 to 2019?
- According to the IRS, individuals filing federal income tax returns prior to March 31 received an average refund of $1056 in 2018. Consider the population of “last-minute” filers who mail their tax return during the last five days of the income tax period (typically April 10 to April 15). A researcher suggests that a reason individuals wait until the last five days is that on average these individuals receive lower refunds than do early filers. For a sample of 400 individuals who filed a tax return between April 10 and 15, the sample mean refund was $910. Based on prior experience, a population standard deviation of σ = $1,600 may be assumed. Test the researcher's assertion using the critical value approach. Use α = 0.05 (Please include all the 7 steps in hypothesis testing) Steps in hypothesis testing p-value Approach Develop the null and alternative hypothesis Specify the level of significance, α Choose the test statistic (z or t) Calculate the test statistic Use the value of the…An investor is looking at past trends for three plans comparing dividends paid per share. She collects sample data from each plan to compare the average dividends paid per share. Let ? = 0.05. Plan 1 Plan 2 Plan 3 1.28 1.00 0.35 1.55 1.19 1.15 1.86 1.25 0.15 1.95 3.17 1.00 0.75 1.46 0.30 2.68 0.60 0.61 2.03 1.31 1.04 Groups Count Average Variance Plan 1 7 1.728571 0.375514 Plan 2 7 1.425714 0.667762 Plan 3 7 0.657143 0.164724 Source of Variation Sum of Squares df Mean Squares F P F crit Between Groups 4.2709 2 2.1354 5.3033 0.0155 3.5546 Within Groups 7.2480 18 0.4027 Total 11.5189 20 (a) What is the next step in the one-way ANOVA? There is not enough information, so collect more data.Stop, the results were not significant. The Tukey-Kramer post hoc test is not needed. Stop, the results were significant. The Tukey-Kramer post hoc test is not needed.Continue to the Tukey-Kramer post hoc test, as the results were…The 2006 Statistical Abstract of the United States reports on a survey that asked a national sample of 80,000 American households about pet ownership. Suppose (for now) that one-third of all American households own a pet cat. Still supposing that one-third of all American households own a pet cat, between what two values do you expect 95% of all sample proportions to fall?
- A Bloomberg Businessweek North American subscriber study collected data from asample of 2861 subscribers. Fifty-nine percent of the respondents indicated an annualincome of $75,000 or more, and 50% reported having an American Express credit card.a. What is the population of interest in this study?b. Is annual income a categorical or quantitative variable?c. Is ownership of an American Express card a categorical or quantitative variable?d. Does this study involve cross-sectional or time series data?e. Describe any statistical inferences Bloomberg Businessweek might make on the basisof the survey(A) Socially conscious investors screen out stocks of alcohol and tobacco makers, firms with poor environmental records, and companies with poor labor practices. Some examples of "good," socially conscious companies are Johnson and Johnson, Dell Computers, Bank of America, and Home Depot. The question is, are such stocks overpriced? One measure of value is the P/E, or price-to-earnings ratio. High P/E ratios may indicate a stock is overpriced. For the S&P Stock Index of all major stocks, the mean P/E ratio is ? = 19.4. A random sample of 36 "socially conscious" stocks gave a P/E ratio sample mean of x = 17.6, with sample standard deviation s = 5.6. Does this indicate that the mean P/E ratio of all socially conscious stocks is different (either way) from the mean P/E ratio of the S&P Stock Index? Use ? = 0.05 i-What is the value of the sample test statistic? (Round your answer to three decimal places.) (B)Let x be a random variable that represents red blood cell count (RBC) in…In order to determine a realistic price for a new product that a company wants to market the company’s research department selected 10 sites thought to have essentially identical sales potential and offered the product in each at a different price. The resulting sales are recorded in the accompanying table: Price ($) Sales ($1,000s) 15.00 15 15.50 14 16.00 16 16.50 9 17.00 12 17.50 10 18.00 8 18.50 9 19.00 6 19.50 5 e). At 5% level of significance, is there evidence of a linear relationship between the sales and price using Minitab f). At 5% level of significance, can we conclude that sales are negatively impacted as the price increases using Minitab g). How useful is the linear model you have established in this problem. Assess the model and explain carefully the procedures used in the assessment.
- A random sample of the average debt (in dollars) at graduation from 30 of the top 100 public colleges and universities is listed Is there sufficient evidence at α = 0.01 to conclude that the population mean debt at graduation is less than $18,000? Assume σ = $2605. 16,012 15,784 16,597 18,105 12,665 14,734 17,225 16,953 15,309 15,297 14,437 14,835 13,607 13,374 19,410 18,385 22,312 16,656 20,142 17,821 12,701 22,400 15,730 17,673 18,978 13,661 12,580 14,392 16,000 15,176A sample of 26 offshore oil workers took part in a simulated escape exercise, resulting in the accompanying data on time (sec) to complete the escape: 381 350 356 360 379 425 323 395 403 373 374 371 364 366 364 326 339 394 393 368 376 359 353 405 331 398 (c) By how much could the largest time, currently 425, be increased without affecting the value of the sample median? (Enter ∞ if there is no limit to the amount.) By how much could this value be decreased without affecting the value of the sample median? (Enter ∞ if there is no limit to the amount.) (d) What are the values of x and when the observations are reexpressed in minutes? (Round your answers to two decimal places.) - x = ? min ~ x = ? minThe table below shows the average annual tuition and fees at private and public 4-year colleges and universities for the school years 2009-2010 through 2014-2015. (Source: National Center for Education Statistics). Year Private Public2009-2010 31,448 15,0142010-2011 32,617 15,9182011-2012 33,674 16,8052012-2013 35,074 17,4742013-2014 36,193 18,3722014-2015 37,385 19,203 a. Using 1 for 2009-2010, 2 for 2010-2011, and so on, find the equation of the regression line for the tuition and fees at private 4-year colleges and universities, based on the year. b. Using 1 for 2009-2010, 2 for 2010-2011, and so on, find the correlation coefficient for the tuition and fees at public 4-year colleges and universities, based on the year.