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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20
(a) A, = j10a, +a
(b) B, = j4e-*a, + 6e*P*a,
(c) C, = j2e=20%e¬J#lda
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- Otitis media is a disease that occurs frequently in the firstfew years of life and is one of the most common reasonsfor physician visits after the routine checkup. A study wasconducted to assess the frequency of otitis media in thegeneral population in the first year of life. Table 4.15 givesthe number of infants of 2500 infants who were first seen atbirth who remained disease-free by the end of the ith monthof life, i = 0, 1, . . . , 12. (Assume no infants have been lostto follow-up.) Disease-free infants ati the end of month i0 25001 24252 23753 23004 21805 20006 18757 17008 15009 130010 125011 122512 1200 Suppose an “otitis-prone family” is defined asone in which at least three siblings of five develop otitis media in the first 6 months of life. What proportionof five-sibling families is otitis prone if we assume thedisease occurs independently for different siblings in afamily?What is the symbol for the residual?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?
- Suppose you have four classifications: freshmen (f), sophomore (so), junior (j), and senior (se). You construct a dummy variable, one for each classification that takes on the value of (1) should that classification be true for that observation and 0 otherwise. Further assume that you estimate the following model: E[GPA]= .5*ACT+0*So+-0.42*J+{c}*Se How much higher/lower is a Junior's GPA, after controlling for ACT, than for the omitted category?Chlorophylls a and b are plant pigments that absorb sunlight and transfer the energy into photosynthesis of carbohydrates from CO2 and H2O, releasing O2 in the process. Chlorophylls were extracted from chopped up grass and measured by spectrophotometry. The table shows results for chlorophyll a for four separate analysis of five blades of grass. Chlorophyll a (g/L) Blade 1 Blade 2 Blade 3 Blade 4 Blade 5 1.09 1.26 1.1 1.23 0.85 0.86 0.96 1.21 1.3 0.65 0.93 0.8 1.27 0.97 0.86 0.99 0.73 1.12 0.97 1.03 Four replicate measurements for each blade of grass tell us the precision of the analytical procedure (sanalysis). Differences between mean values for each of the five blades of grass are a measure of variation due to sampling (ssampling). Using Excel and it’s ANOVA function, find the standard deviations attributable to sampling and to analysis, as well as the overall standard deviation arising from both sources.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 Blue
- Estimate f(4.02, 2.01, –2.03) assuming the following. f(4, 2, –2) = 6 %3D fx(4, 2, –2) = 2 fy(4, 2, –2) = 5 f_(4, 2, –2) = 4 f(4.02, 2.01, -2.03) -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…Data were collected on the times to recovery (in days) for athletes who had serious concussions. There were two data sets. One data set consisted of the recovery times of 200 athletes who were treated for their concussion and the other data set consisted of the recovery times of 200 athletes who received no treatment for their concussions. The histograms summarize the two data sets. For simplicity call the histogram on the left Figure 1, and the one on the right Figure 2. (a)Researchers claim that those who were not treated for concussion tended to have longer recovery times than those who were treated. According to this claim, which of these two histograms corresponds to the data for those who were not treated? (b) In no more than two sentences, justify your answer to part (a). (c) From Figure 1, find the (approximate) proportion of athletes that recovered in 55 or fewer days. (d) Which measure of centrality would you prefer to use for the data that led to Figure 2: the sample mean or…
- A baby dolphin is born into the ocean, which is a fairly cold environment. Water has a high heat conductivity, so the thermal regulation of a newborn dolphin is quite important. It has been known for a long time that baby dolphins' blubber is different in composition and quantity from the blubber of adults. Does this make the babies better protected from the cold compared to adults? One measure of the effectiveness of blubber is its "conductance". This value as calculated on 5 newborn dolphins and 10 adults dolphins (Dunkin et al. 2005). The newborn dolphins had an average conductance of 10.44, with a standard error of the mean equal to 0.58. The adult dolphins' conductance averaged 8.44, with the standard error of this estimate equal to 1.87. All measures are given in watts per square meter per degree Celcius. Calculate the standard deviation of conductance for the baby dolphin group. Round your answer two decimal places.What percentage of scores is between a z of ‐2 and a z of +2? Why is this important?What is indicated by a Pearson correlation of r = +1.00 between Xand Y? Each time X increases, there is a perfectly predictable increase in Y Every change in X causes a change in Y All of the other 3 choices occur with a correlation of +1.00. Every increase in X causes an increase in Y
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