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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Cigarette packets used to contain cards representing such things as flowers, film stars or football teams. A complete set would comprise n different cards, say, and collectors would aim to obtain a complete set. Clearly, the first packet bought would contain a new card which would start the collection. The next card obtained might simply duplicate the first card, or it might also be a new card, and add to the collection, and so on. Obtain expressions for the mean and variance of the number of packets which must be purchased until a complete set of cards is obtained.
The following are the course grades of a statistics student (in order of performance) from his first year of study: 3, 4, 4, 1, 5, 5, 2, 3, 4. Does the material prove that the student's academic success improved (measured in course grades) as the first academic year progressed?
Suppose the manager of a shoe store wants to determine the current percentage of customers who are males. How many customers should the manager survey in order to be 92% confident that the estimated (sample) proportion is within 8 percentage points of the true population proportion of customers who are males? z0.10 z0.05 z0.04 z0.025 z0.01 z0.005 1.282 1.645 1.751 1.960 2.326 2.576 Use the table of values above.
The manager of Hudson Auto Repair would like to get a better picture of the distribution of costs for new parts used in the engine tune-up jobs done in the garage. A sample of 50 customer invoices for tune-ups has been taken and the costs of parts, rounded to the nearest dollar, are listed below. 91 78 93 57 75 52 99 80 73 62 71 69 72 89 66 75 79 75 72 76 104 74 62 68 97 105 77 65 80 109 85 97 88 68 83 68 71 69 67 74 62 82 98 101 79 105 79 69 62 73 Develop a frequency distribution for these cost data. Use your own judgment to determine the number of classes and class width that provide a distribution that will be meaningful and helpful to the manager. a. Develop a stem-and-leaf display showing both the rank order and shape of the data set. (3) b. Develop a stretched stem-and-leaf display using two stems for each leading digit(s). (2) c. Which display is better at revealing the natural grouping and variation in the data? (1)
(5) A certain educational institute has 15 centers located at different places in a city. There are three telephone operators in each center. The manager wanted to estimate the average number of calls received per telephone per week for this institute. He decided to select four centers and the number of calls received on last week for each operator were recorded. The data collected are given in Table 02. Answer the following questions. Table 02: Number of calls received for each operator 25, 15, 30 18, 12, 10 20, 18, 22 15, 20, 18 Center 1 4 (i) (ii) What is the sampling method used in this study? Justify your answer. Estimate the average number of telephone calls received per telephone operator.
(ii) The lecturer wishes to compare the average scores for Business Statistics between the accounting students and the finance students. He records the marks of a group of 8 students from each course in the following table. Student Accounting course Finance course 78 54 56 95 3 67 68 4 49 71 88 82 76 7 8 62 74 86 85 57 Test at 5% level of significance whether the average score for Business Statistics is different between accounting students and finance students.
1. A researcher wishes to determine if the following distances (in meters) traveled by a random sample of ten world-class long jumpers are highly affected by the speed (in meters per second) at takeoff. The distances recorded from the sample long jumpers are as follows: 7.67, 8.22, 7.94, 7.16, 8.08, 7.35, 7.89, 7.76, 7.25, and 7.43. On the other hand, the speeds are recorded as follows: 8.9, 9.2, 8.1, 8.6, 9.0, 8.4, 8.8, 9.1, 8.0, and 8.2. What will be the distance, assuming that the speed is 9.4 meters per second? Round your answer to two decimal places. There is no need to place the unit. 2. A certain regression line equation has the slope equal to 720.25 and an intercept that is equal to -182.4. What will be the predicted score for the dependent variable if the independent variable is 281.5? Round your answers to two decimal places. Do not place any unit.
In January 2013, a poll by ABC News indicated that Obama's popularity had reached a three-year high. Suppose the relative frequency of occurrence of each response, grouped by sex, is given in the following table. Rating Excellent Very Good Good Fair Poor Answer: Women Men Relative Relative Frequency Frequency 0.184 ≈ 0.23 unknown 0.25 unknown unknown 0.225 unknown ≈ 0.167 0.103 Assume • the proportion of men's responses rated as either Very Good or Good is 0.488, • the proportion of women's responses rated as either Good or Fair is .353, • the proportion of men's responses rated as Good is≈ 93.6% larger than the proportion of women's responses the same (relative to the women's one), and • the proportion of men's responses rated as Very Good is 14.58% larger than the proportion of women's responses rated as Fair (relative to the women's one.) What proportion of women's responses is rated as Good? (Type your final answer in decimal form (rounded to the nearest hundredth), like 0.36. DO…
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…
The following data provides the monthly streaming bill for a random sample of 20 households along with the number of televisions in the household (TV), the number of people living in the household (People). and the number of years that household has been a streaming customer (Years). Calculate the adjusted multiple coefficient of determination for predicting the streaming bill. Place the answer in decimal points.

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