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[REAL TENTH QUESTION]
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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 sample of 20 students who had recently taken elementary statistics yielded the following information on brand of calculator owned. (T = Texas Instruments, H = Hewlett Packard, C = Casio, S = Sharp): C T S S T C S H C T H H H H T T T T H T (a) Estimate the true proportion of all such students who own a Texas Instruments calculator.(b) Of the 8 students who owned a TI calculator, 6 had graphing calculators. Estimate the proportion of students who do not own a TI graphing calculator.Periodically, the county Water Department tests the drinking water of homeowners for contaminants such as lead and copper. The lead and copper levels in water specimens collected in 1998 for a sample of 10 residents of a subdevelopement of the county are shown below. lead (μμg/L) copper (mg/L) 4.44.4 0.6430.643 2.42.4 0.570.57 1.51.5 0.460.46 2.62.6 0.8950.895 5.95.9 0.20.2 3.43.4 0.540.54 3.83.8 0.2450.245 1.61.6 0.5830.583 5.75.7 0.7690.769 1.71.7 0.2150.215 (a) Construct a 9999% confidence interval for the mean lead level in water specimans of the subdevelopment. ≤μ≤≤μ≤ (b) Construct a 9999% confidence interval for the mean copper level in water specimans of the subdevelopment. ≤μ≤≤μ≤
- Periodically, the county Water Department tests the drinking water of homeowners for contminants such as lead and copper. The lead and copper levels in water specimens collected in 1998 for a sample of 10 residents of a subdevelopement of the county are shown below. lead (μμg/L) copper (mg/L) 4.44.4 0.4840.484 2.72.7 0.0760.076 5.35.3 0.5950.595 3.33.3 0.1280.128 5.55.5 0.4690.469 1.71.7 0.4060.406 0.40.4 0.8480.848 0.70.7 0.0220.022 44 0.860.86 2.82.8 0.4250.425 (a) Construct a 99% confidence interval for the mean lead level in water specimans of the subdevelopment. blank≤μ≤blank (b) Construct a 99% confidence interval for the mean copper level in water specimans of the subdevelopment. blank≤μ≤blankThe activities required to service a car at the Exclusive Car Mart is summarised in the following table: Table 1: Activity Times and Predecessors Minutes Required Activity Description Predecessor Activity Optimistic a Most Likely m Pessimistic b A B C D E F G H Drain Oil Replace Filter Refill Oil Check Tyres Wash Windows Fill Fluids Service A/c Final Test --- A B, E --- D E C C, F 3 2 3 3 4 4 3 1.5 4.5 3 4.5 4 3 4 3 2 7 5 6 6 7 6 5 3.5 The variability in times required to perform each activity is due to the different types, sizes, and conditions of the cars to be serviced. Required Draw the activity network for this problem (either AON or AOA) Determine the Expected Time and Variance for each activity. Round to 2 decimal places where applicable. Show the activity schedule (ES, EF, LS, and LF) as well as slack. Determine and state the critical path for this project. This must be based on your work in c) and not by inspection.…A researcher wishes to study the relationship between education and income separately for individuals who have college degrees, and for those who don't. To this end, he interviews 100 individuals in each category. Survey results are listed in the table below. non college graduates college graduates avg education 13 yr 18 yr std. dev. education 2 yr 1.2 yr Sxx 396 yr2 143 yr2 Avg. Income $67,200 $84,950 std. dev. income $9,400 $10,500 correlation coefficient .25 .15 a. Use the data above to find point estimates for regression coefficients B0NG and B1NG for non-college graduates and BoG and B1G for college graduates. b. Propose an unbiased estimator for the difference theta=B1G - B1NG in slope coefficients for the two sub-populations, and show that B(theta hat)= 0. c. Assume that the error terms ENG and EG for non-graduates and graduates, respectively, are both distributed normally, with known standard deviation oENG = oEG = $ 10,000. In that case, determine the…
- Periodically, the county Water Department tests the drinking water of homeowners for contaminants such as lead and copper. The lead and copper levels in water specimens collected in 1998 for a sample of 10 residents of a subdevelopement of the county are shown below. lead (μμg/L) copper (mg/L) 4.4 0.643 2.4 0.57 1.5 0.46 2.6 0.895 5.9 0.2 3.4 0.54 3.8 0.245 1.6 0.583 5.7 0.769 1.7 0.215 (a) Construct a 9999% confidence interval for the mean lead level in water specimans of the subdevelopment. ≤μ≤Life-saving drug: Penicillin is produced by the Penicillin fungus, which is grown in a broth whose sugar content must be carefully controlled. Several samples of broth were taken on three successive days, and the amount of dissolved sugars, in milligrams per milliliter, was measured on each sample. The results were as follows. Day 1: 5.2 5.0 5.4 5.2 5.3 5.0 4.9 5.0 5.2 5.0 4.6 5.3 Day 2: 5.6 4.8 4.9 5.3 5.2 4.9 5.4 5.0 5.4 4.9 5.5 5.4 Day 3: 5.9 4.9 5.3 5.4 5.2 5.5 5.0 5.8 5.5 5.4 5.4 5.1 Construct an ANOVA table. Round your answers to four decimal places as needed. One-way ANOVA: Sugar Concentration Source DF SS MS F P Days Error TotalA chemical reaction is run 12 times, and the temperature xi (in °C) and the yield yi (in percent of a theoretical maximum) is recorded each time. The following summary statistics are recorded: x⎯⎯=65.0, y⎯⎯=29.03,∑ni=1(xi−x⎯⎯)2=6032.0,∑ni=1(yi−y⎯⎯)2=835.42,∑ni=1(xi−x⎯⎯)(yi−y⎯⎯)=1988.5x¯=65.0, y¯=29.03,∑i=1n(xi−x¯)2=6032.0,∑i=1n(yi−y¯)2=835.42,∑i=1n(xi−x¯)(yi−y¯)=1988.5 Let β0 represent the hypothetical yield at a temperature of 0°C, and let β1 represent the increase in yield caused by an increase in temperature of 1°C. Assume that assumptions 1 through 4 for errors in linear models hold. Find 95% confidence intervals for β0 and β1. Round the answers to three decimal places. The 95% confidence interval for β0 is ( , ). The 95% confidence interval for β1 is ( , ).