EITHER state the critical values and use the critical values/z-obtained comparison OR use the p-value/alpha comparison to make a decision 3. Test a hypothesis that single/never married Americans spend more time watching TVthan married Americans (TVHOURS, MARITAL). Use a=0.05. (Hint: look up thevalues for "single/never married" and “married" first).Họ: 1µ = 2µ%3DH1: 1µ > 2µGroup StatisticsStd.Std. ErrorMarital statusMeanDeviationMean5402.862.872.124Hours per daywatching TVNEVERMARRIEDMARRIED7822.652.142.077Independent Samples TestLevene's Test for Equality ofVariancest-test for Equality of Means95% Confidence Interval of theDifferenceSignificanceOne-Sided p Two-Sided pStd. ErrorDifferenceMeanLowerUpperSig.dfDifferenceF.216.138-.05448718.131<.0011.5691320.058.117Hours per day watching TV Equal variances assumed.502.068.137.216.145-.0691.489937.125Equal variances notassumed

The output of the two sample t test is given and objective is to make a decision of the test.

Answered: 3. Test a hypothesis that single/never…

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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) The following table shows 10 communities ranked by decayed, missing, or filled (DMF) teeth per 100 children and fluoride concentration in ppm in the public water supply: Rank by DMF Teeth FluorideCommunity per 100 children X Concentration Y 1 8 1 2 9 3 3 7 4 4 3 9 5 2 8 6 4 77 1…
a) If the prevalence rate is 50%, the sensitivity is 85%, and the specificity is 90%, what will the PPV value be? b) What are possible slider values that will produce a PPV value of 1? c) What are possible slider valuse that will produce an NPV value of 1? d) If sensitivity and specificity remain constant while prevalence decreases, what effect does that have on the PPV? e) If prevalence and specificity remain constant while sensitivity increases, what effect does that have on the NPV?
Refer to Exercise 12 in Section 3.2. Assume that τ0 = 50 ± 1 MPa, w = 1.2 ± 0.1 mm, and k= 0.29 ± 0.05 mm−1.a) Estimate τ, and find the uncertainty in the estimate.b) Which would provide the greatest reduction in the uncertainty in τ: reducing the uncertainty in τ0 to 0.1 MPa, reducing the uncertainty in w to 0.01 mm, or reducing the uncertainty in k to 0.025 mm−1?c) A new, somewhat more expensive process would allow both τ0 and w to be measured with negligible uncertainty. Is it worthwhile to implement the process? Explain.
The article “Effect of Varying Solids Concentration and Organic Loading on the Performance of Temperature Phased Anaerobic Digestion Process” (S. Vandenburgh and T. Ellis, Water Environment Research, 2002:142–148) discusses experiments to determine the effect of the solids concentration on the performance of treatment methods for wastewater sludge. In the first experiment, the concentration of solids (in g/L) was 43.94 ± 1.18. In the second experiment, which was independent of the first, the concentration was 48.66 ± 1.76. Estimate the difference in the concentration between the two experiments, and find the uncertainty in the estimate.
A researcher hypothesizes that in a certain country the net annual growth of private sector purchases of government bonds, B, is positively related to the nominal rate of interest on the bonds, NI, and negatively related to the rate of inflation Π: Bt = a0 + a1NIt + a2Π t + ut Note that it may be hypothesized that B depends on the real rate of interest on bonds, R, where R = NI – Π. Using a sample of 56 annual observations, s/he estimates the following equations: (1) Bt = 0.43 + 0.90NIt - 0.97Πt R21 = 0.962, SSR1 = 2.20, QRESET(F1,52) = 16.6 (3.58) (8.80) (-1.05) (2) Bt = 0.44 + 0.94Rt R22 = 0.960, SSR2 = 2.22, QRESET(F1,53) = 0.9 (9.70) (16.7) (3) Bt = 0.44 + 1.14NIt SSR3 = 9.20, QRESET(F1,53) = 59.9 (8.84) (36.1) (4) NIt = 0.08 + 0.94Πt R24 = 0.997, SSR4 = 0.18, QRESET(F1,53) = 1.4…
Suppose your dependent variable is aggregate household demand for electricity for various cities. To correct for heteroskedasticity you should Select one: a. multiply observations by the square root of the city size b. multiply observations by the city size c. divide observations by the city size d. divide observations by the square root of the city size e. none of these
4) Here are data on the lengths of male and female roaches (in mm). Your job is to find out if there is adifference between male and female roaches (this should be two sided - why?).males 15.4 13.9 12.7 9.6 6.6 10.7 9.9 13.3 16.2 9.0 11.4 16.6 12.2females 16.7 16.3 12.8 16.9 15.1 12.8 18.7 18.3 8.6 13.6 15.3 16.2 13.4It's up to you to figure out what the best procedure is, what kind of hypotheses to use, which α to use,what test to use, and so on. Make sure you follow all the appropriate steps. You should probably use Ras you’ll get done much quicker. Remember to very clearly state your results in writing. Never turn in just an R printout .Hint: how do you decide which test to use? What kind of distributions do the data have?
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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,…
AUA wants to know whether recent alumni students from MBA class earn significantly more than recent alumni from BAB class. They take a sample of several students and ask the amount of their monthly salaries in USD (Sheet 32). What can AUA conclude at alpha=0.05? Sheet 32 MBA BAB 515 300 450 420 620 380 630 450 570 420 590 490 750 510 560 470 480 530 250 570 320 480 450 620 625 190 350 280 450 350 570 250 Select one: a. t(stat)=1.92, which is greater than t(cr)=1.7, therefore, we can conclude that MBA graduates earn more BAB graduates. b. t(stat)=1.89, which is greater than t(cr)=1.75, therefore, we can conclude that MBA graduates earn more BAB graduates. c. t(stat)=2.07, which is greater than t(cr)=1.69, therefore, we cannot conclude that MBA graduates earn more BAB graduates. d. t(stat)=2.07, which is greater than t(cr)=1.69, therefore, we can conclude that MBA graduates earn more BAB graduates.
Assume that as a portfolio manager the beta of your portfolio is 1.15 and that your performance is exactly on target with the SML data under condition 1. If the true SML data is given by condition 2, how much does your performance differ from the true SML? (1) RFR = 0.0625 Rm(proxy) = 0.12 (2) RK = 0.078 Rm(true) = 0.10
In a certain suburb of Montréal, residents have expressed their worries about the quality of the air. Of particular concern is the concentration (in μg/m3) of particulate matter smaller than 2.5 μm in size (PM2.5). The environmental standard is a PM2.5 concentration of 15 μg/m3 or less. 9-a) To conduct this study, Thomas installs 25 PM2.5 detectors at different locations in the suburban area. Each detector will provide one reading of PM2.5 concentration at a given time. With 25 detectors, what is the probability that Thomas declares the sample mean of PM2.5 concentrations significantly greater than the environmental standard while the population mean is 16 μg/m3? The population variance is assumed to be known and equal to 9. Use α = 0.01. 9-b) Thomas is interested to purchase a new and cheaper instrument to measure PM2.5 concentration. He is worried, however, that the precision of the new instrument may be lower than that of the current one. To be acceptable, the standard…

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