3. The following table, based on findings of the research by the Urban Institute (with made up numbers but correct conclusions) shows the type of schools where African American and Caucasian students are educated. White African American Low 30 7 Mid Low Mid High High 37 17 26 30 8 46
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- Suppose μ1 and μ2 are true mean stopping distances at 50 mph for cars of a certain type equipped with two different types of braking systems. The data follows: m = 8, x = 114.6, s1 = 5.03, n = 8, y = 129.3, and s2 = 5.38. Calculate a 95% CI for the difference between true average stopping distances for cars equipped with system 1 and cars equipped with system 2. (Round your answers to two decimal places.) ,Suppose X~N(176,14) and Z~N(0,1). If z = -1.45, what is it on an X scale?Suppose the table gives the number N(t), measured in thousands, of minimally invasive cosmetic surgery procedures performed in the United States for various years t. t N(t) (thousands) 2000 5,490 2002 4,897 2004 7,455 2006 9,138 2008 10,882 2010 11,561 2012 13,075 Construct a table of estimated values for N'(t). (Use a one-sided difference quotient with an adjacent point for the first and last values, and the average of two difference quotients with adjacent points for all other values. Round your answers to two decimal places.)
- the following data represent the operating time in hours fro 4 types of pocket calculators before a recharge is required. test at 0.01 level of significance if the operating times for all four calculators are equal. Find the following: MSbet: Mswit: Fratio: F0.01: Decision:Second, the researcher wishes to use graphical descriptive methods to present summaries of the dataon each of the two variables: hours worked per week and yearly income, as stored in fileHOURSWORKED.xls.a) The number of observations (n) is 65 individuals. The researcher suggests using 7 class intervalsto construct a histogram for each variable. Explain how the researcher would have decided onthe number of class intervals (K) as 7. b) The researcher suggests using class intervals as 10 < X ≤ 15, 15 < X ≤ 20, …, 40 < X ≤ 45 for thehours per week variable and class intervals 40 < X ≤ 45, 45 < X ≤ 50, ..., 70 < X ≤ 75 for the yearlyincome variable. Explain how the researcher would have decided the width of the above classintervals (or class width). c) Draw and display a histogram for each of the two variables using appropriate BIN values frompart (b) and comment on the shape of the two distributions.The mean ±1 sd of ln [calcium intake (mg)] among 25females, 12 to 14 years of age, below the poverty level is6.56 ± 0.64. Similarly, the mean ± 1 sd of ln [calcium intake(mg)] among 40 females, 12 to 14 years of age, above thepoverty level is 6.80 ± 0.76 4-What is the p-value corresponding to your answer toProblem 8.4?
- Suppose that the time in minutes, Y , that an insect spends on a plant is exponentiallydistributed such that Y ∼Exp( 1/3)(a) Evaluate P(Y ≤3)(b) Evaluate P(Y > 4)(c) Evaluate P(2 < Y < 6)(d) What is the mean length of time that this insect spends on a plant?2. Jim and Catherine are again interested in adjusting the 0-1 variables from Case 2.2 so that theycan examine different scenarios. However, theyrealize that the number of combinations of thetwo 0-1 variables they have control of, low-endversus high-end and mildly aggressive marketing versus very aggressive, is a small number,2×2 = 4. Therefore, they want you to use aRISKSIMTABLE function, with an index from 1to 4, so that a single @RISK run with 4 simulations can be made. You will have to use lookupfunctions so that the two 0-1 variables changeappropriately as the index of RISKSIMTABLEvaries from 1 to 4. As for the third 0-1 variable, whether the competition will introducea competing product, they want you to modelthis probabilistically, using a RISKBERNOULLIfunction with parameter 0.3. This simply indicates that there is a 30% chance of a competingproductA new insecticide is advertised to kill more than 95% roaches upon contact. In a laboratory test, the insecticide was applied to 400 roaches and 384 died immediately after contact. Is this sufficient evidence to support the advertised claim? Use α=0.05. (c) p-value for the problem above i
- The following table contains data on the temperature and the pressureof a gas in a cylinder. What is the pressure of the gas at T = 520 and T = 750degrees Kelvin? Hint: fit the least square line to this.Temp. (◦K) 483 659 703 643 407 605 640 479 409 783Pres. (atm) 1.84 2.37 2.85 2.52 1.55 2.15 2.35 1.86 1.66 3.16A runner states that his average time for running a mile is 6.5 minutes. Given the following times from 8 recent mile runs, test the claim that his actual average is not what he states it to be at the a = 0.05 level of significance. 6.25 6.6 6.8 7.2 6.3 7.0 6.5 6.75Suppose the cost (in dollars) of manufacturing q units is given by C(q)=3q^2+38q+147 Use marginal analysis to estimate the cost of producing the 8th unit. 83 89 86 80 none of the above