A minority representation group accuses a major bank of racial discrimination in its recent hires for financial analysts. Exactly 12% of all applications were from minority members, and exactly 10% of the 1650 open positions were filled by members of the minority.Answer the following. (If necessary, consult a list of formulas.)(a) Find the mean of \(\hat{p}\), where \(\hat{p}\) is the proportion of minority member applications in a random sample of 1650 that is drawn from all applications.[ ](b) Find the standard deviation of \(\hat{p}\).[ ](c) Compute an approximation for \(P(\hat{p} \leq 0.1)\), which is the probability that there will be 10% or fewer minority member applications in a random sample of 1650 drawn from all applications. Round your answer to four decimal places.[ ]

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Answered: minority representation group accuses a…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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You are interested in the development of language in bilinguals. You are able to locate five families in the world with 18-month-old toddlers who are learning both Japanese and Amharic simultaneously. Given that these are the only families that fit this qualification, therefore, these five families are your study population. You test the children to see how many words they can speak in Japanese. The results are listed in the following table: Toddler A P Calculate the mean for this population. B Complete the following table. UO B C Toddler Number of Words (X) 26 48 37 28 с D E D Number of Words in Japanese 26 48 37 28 41 E 41 X-p (x-μ)² Calculate the variance and standard deviation for this population.
Make a frequency distribution of the number of letters per word in the following quotation: "For seven days seven priests with seven trumpets invested Jericho, and on the seventh day they encompassed the city seven times." (a) Find the mode(s) of the number of letters per word. (Enter your answers as a comma-separated list.) letter(s) (b) Find the median. (You can use your frequency distribution to do this.) letter(s) (c) Find the mean of the number of letters per word. (Round your answer to two decimal places.) letter(s)
7h. A travel association reported the domestic airfare (in dollars) for business travel for the current year and the previous year. Below is a sample of 12 flights with their domestic airfares shown for both years. CurrentYear PreviousYear 345 315 526 451 420 450 216 206 285 263 405 432 635 585 710 650 605 545 517 547 570 496 610 580 Calculate the test statistic. (Use current year airfare − previous year airfare. Round your answer to three decimal places.) Calculate the p-value. (Round your answer to four decimal places.) p-value =
According to Pew Research Center surveys, 79% of U.S. adults were using the Internet in January 2011 and 83% were using it in January 2012 (USA TODAY, January 26, 2012). Suppose that these percentages are based on random samples of 1720 U.S. adults in January 2011 and 1970 in January 2012. a. Let p, and p, be the proportions of all U.S. adults who were using the Internet in January 2011 and January 2012, respectively. Construct a 95% confidence interval for p, - P2- Round your answers to three decimal places. to i
Read the following prompt and complete 3.a and 3.b
Question D. Give a 95% interval estimate of the number of fatal accidents per 1000 licenses in a city where 15% of the licensed drivers are under 21. Same data set as above.
Does it seem to you that people tend to be absent more on some days of the week than on others? Recently, a major biotechnology firm collected data with the hope of determining whether or not its employees were more likely to be absent on some weekdays than on others. The firm examined a random sample of 130 employee absences. The distribution of these 130 absences is shown in the table below. The observed frequency for each category (each weekday) is shown in the first row of numbers. The second row of numbers contains the frequencies expected for a sample of 130 employees if employee absences at the firm are equally likely on each of the five weekdays. The bottom row of numbers contains the following value for each of the categories.
Suppose you compile all possible samples of 25 children of preschool age in your school district. If you calculate the mean of each sample (M) and create a frequency distribution of these means, this distribution is referred to as the
In a combined study of northern pike, cutthroat trout, rainbow trout, and lake trout, it was found that 40 out of 866 fish died when caught and released using barbless hooks on flies or lures. All hooks were removed from the fish. (a) Let p represent the proportion of all pike and trout that die (i.e., p is the mortality rate) when caught and released using barbless hooks. Find a point estimate for p. (Round your answer to four decimal places.)(b) Find a 99% confidence interval for p. (Round your answers to three decimal places.) lower limit upper limit Give a brief explanation of the meaning of the interval. We are 99% confident that the true catch-and-release mortality rate falls outside this interval.We are 1% confident that the true catch-and-release mortality rate falls above this interval. We are 99% confident that the true catch-and-release mortality rate falls within this interval.We are 1% confident that the true catch-and-release mortality rate falls…
For large U.S. companies, what percentage of their total income comes from foreign sales? A random sample of technology companies (IBM, Hewlett-Packard, Intel, and others) gave the following information.† Technology companies, % foreign revenue: x1; n1 = 16 62.8 55.7 47.0 59.6 55.3 41.0 65.1 51.1 53.4 50.8 48.5 44.6 49.4 61.2 39.3 41.8 Another independent random sample of basic consumer product companies (Goodyear, Sarah Lee, H.J. Heinz, Toys 'R' Us) gave the following information. Basic consumer product companies,% foreign revenue: x2; n2 = 17 28.0 30.5 34.2 50.3 11.1 28.8 40.0 44.9 40.7 60.1 23.1 21.3 42.8 18.0 36.9 28.0 32.5 Assume that the distributions of percentage foreign revenue are mound-shaped and symmetric for these two company types. (a) Use a calculator with mean and standard deviation keys to calculate x1, s1, x2, and s2. (Round your answers to four decimal places.) x1 = % s1 = % x2 = % s2 = % (b) Let ?1 be the population mean…
Show all your work. Indicate clearly the methods you use, because you will be scored on the correctness of your methods as well as on the accuracy and completeness of your results and explanations. A bank categorizes its customers into one of three groups based on their banking habits. A random sample of 30 customers from each group was selected, and the number of times each customer visited the bank during the past year was recorded. The following table shows the summary statistics. Group n x¯ s A 30 48 7 B 30 51 8 C 30 54 10 The bank manager will investigate whether there is a significant difference in mean numbers of bank visits for the groups. Multiple two-sample t-tests will be conducted, each at the significance level of α=0.05.

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