Find the instantaneous form for each of the following phasors: 20 (a) A, = j10a, +a (b) B, = j4e-*a, + 6e*P*a, (c) C, = j2e=20%e¬J#lda -20z
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- A manufacturer wants to increase the shelf life of a line of cake mixes. Past records indicate that the average shelf life of the mix is 234 days. After a revised mix has been developed, a sample of nine boxes of cake mix gave these shelf lives (in days): 232,238, 238, 239, 236, 243, 243, 244, and 240. At a = 0.05, the manufacturer wants to test if the shelf life of the cake mix increased. What critical value must be used for this test?Find two z - values, one positive and one negative, that are equidistant from the mean so that the areas in the two tails total 34%.1b) Plot Jresp along with the concentrations of Benzene in blood, fat, non-fat and liver in a 24h window (pdf). Why is Jresp slightly decreasing within 6h of exposure?
- Three male patients, pink, green and blue, came into a medical clinic with symptoms of lethargy (feeling tired) and chest congestion. A blood sample was taken for each patient to measure the hematocrit levels and to determine the hemoglobin saturation curves for each patient. The results are shown below with the saturation curve on the left and the hematocrit on the right. What should the oximeter readings be for Patients Pink, Green and Blue if arterial PO₂ was 80 mm Hg [Select) ? Which patient(s) has a significant reduction in total oxygen carrying capacity [Select] #? NO, Saturation of hemoglobin 100 80 60 40 20 Pink, 40 40 PO, (mm) 30 Bue 100 Pink Green BlueRadon is a gas emitted from the ground that can collect in houses in buildings. At certain levels it can cause lung cancer. Radon concentrations are measured in picocuries per liter (pCi/L). A radon level of 4 pCi/L is considered “acceptable” Radon levels in a house vary from week to week. In one house, a sample of 6 weeks had the following readings for radon level (in pCi/L): 1.9 2.8 3.9 3.9 4.2 5.7 Find the variance and standard deviation (definitional formula). Show your work using a table.please answer correctly:
- radon is a colorless, odorless gas that is naturally released by rocks and soils and may concentrate in tightly closed houses. because radon is slightly radioactive, there is some concern that it may be a health hazard. radon detectors are sold to homeowners worried about this risk, but the detectors may be inaccurate. university researchers placed 12 detectors in a chamber where they were exposed to 105 picocuries per liter (pci/l) of radon over 3 years. here are the readings given by the detectors:91.9 97.8 111.4 112.3 105.4 85.0 103.8 89.6 96.6 109.3 104.8 91.7 Assume (unrealistically) that you know that the standard deviation of readings for all detectors of this type is σ = 9. a. Give the 95% confidence interval for the mean reading μ for this type of detector. b. Is there significant evidence at the 5% level that the mean reading differs from the true value 105? State hypotheses and base a test on your confidence interval from (a). c. Calculate the power of this test against the…A sample of ore is found to be 0.0022% gold and 0.059% silver. What is the percentage of matter in the ore that is neither gold or silver?An instructor teaching an 8 am class randomly samples a group of students who regularly attend class and records the volume of coffee each person drinks after 9 pm each evening and the average number of hours each person sleeps each night. Do you expect the association to be positive, negative, or expect no relationship? Explain why.
- In cold weather, we feel colder when the wind blows. This is quantified by the wind chill index W, which is supposed to predict how cold we will feel for a given air temperature T, in degrees Fahrenheit, and wind speed V, in miles/hour. The National Weather Service uses the following formula: W=35.74+0.6215T−35.75V^0.16+0.4275TV^0.16, for T≤50 and V≥3. What is the wind chill index when the air temperature is 25 degrees and the wind speed is 18 miles/hour?Answer: Calculate the partial derivatives WT and WV when T=25 and V=18.WT= WV= Use your answer above to do the following question: When the air temperature is 25 degrees, estimate the change in the wind chill index if the wind speed increases by 2 miles/hour from 18 miles/hour.Answer:Reactivate 04. 3. The following data are derived from the Monthly Vital Statistics Report issued by the National Center for Health Statistics in October 1999. Suppose that infants are classified as low birthweight if they have a birthweight less than 2500 g and as normal birthweight if they have a birthweight greater than or equal to 2500 g. Suppose that infants are also classified by length of gestation in the following five categories: less than 28 weeks, 28-31 weeks, 32-35 weeks, 36 weeks, and more than 36 weeks. Assume the probabilities of the different periods of gestation are as given in the accompanying table. Length of gestation Less than 28 weeks Probability 0.007 28-31 weeks 0.012 32-35 weeks 0.050 36 weeks 0.038 More than 36 weeks 0.893 Table 3. Distribution of length of gestation Also, assume that the probability of low birthweight is 0.949 given a gestation of less than 28 weeks, 0.702 given a gestation of 28 - 31 weeks, 0.434 given a gestation of 32 - 35 weeks, 0.201…A team of UMD students have invented an inhalable drug that they think will help people breathe better during hard exercise. They test the drug on 3 volunteers (A, B, and C) by measuring their levels of arterial oxygen before receiving the drug (their base level) and then after 5 and 10 minutes have elapsed, respectively. The results are listed in the table. Oxygen level [mmHg] A B C base level 847076 after 5 minutes 85 74 81 after 10 minutes 90 75 98 We want to see how the drug work (better or worse) when compared to the base level. Compute the 90% two-sided confidence intervals for the mean difference between the base level and after 5 minutes. X1b Xub X 1b -5.1783 Xub 11.8450 Compute the 90% two-sided confidence intervals for the mean difference between the base level and after 10 minutes. -1.94 ? Xx 0% 23.94 ? × 0% ? × 0% X 0%