42. Lifelong Immunity A particular infectious disease confers life- long immunity to any individual who recovers from the disease. The population size is N = 200. Assume that the spread of the disease can be described by an SIR model: 1 SI 100 ds dt dI 1 SI – 61 100 dt dR = 6/ dt
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- A study was done to investigate the relationship between amount of protix (a new protein-vitamin•-mineral supplement) org a fortified- vitamin rice, known as FVR, and the gain in weight of children. Ten randomly chosen sections of grade one pupils were fed with FVR containing protix; different amounts X of protix were used for the 10 sections. The increase in the weight of each child was measured after a given period. The average gain Y in weight for each section with a prescribed protix level x is as follows; Section(i) Protix(X) Gain(Y) Section(i) Protix(X) Gain(Y) 1 2 3 4 5 50 60 70 80 90 91.6 96.5 95.5 101.3 104.8 6 7 8 9 10 100 110 120 130 140 105.2 107.9 107.4 109.2 109.8 Compute the prediction equation to predict the gain in the weight of a child.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.The most common test for osteoporosis (low bone density) is a bone density scan by a DEXA test (dual- energy X-ray absorptiometry). The bone density of a population is normally distributed. A woman has the test and finds that she has a bone density of 932 grams per square centimeter, which puts her at a density where approximately 12% of the population has bone density less than hers. In the population of women her age, the mean bone density is 956 grams per square centimeter. What is the standard deviation for the bone density? 22.
- 6 A study was conducted that measured the total brain volume (TBV) (in mm3) of patients that had schizophrenia and patients that are considered normal. Table #1 contains the TBV of the normal patients and Table #2 contains the TBV of schizophrenia patients ("SOCR data Oct2009," 2013). Table #1: Total Brain Volume (in mm3) of Normal Patients 1663407 1583940 1299470 1535137 1431890 1578698 1453510 1650348 1288971 1366346 1326402 1503005 1474790 1317156 1441045 1463498 1650207 1523045 1441636 1432033 1420416 1480171 1360810 1410213 1574808 1502702 1203344 1319737 1688990 1292641 1512571 1635918 Table #2: Total Brain Volume (in mm3) of Schizophrenia Patients 1331777 1487886 1066075 1297327 1499983 1861991 1368378 1476891 1443775 1337827 1658258 1588132 1690182 1569413 1177002 1387893 1483763 1688950 1563593 1317885 1420249 1363859 1238979…Run a simple linear regression in SPSS to know if previous experience (‘prevexp’: Previous Experience-months) significantly predicts current salary(‘salary’: Current Salary) in the work force . Use α =.05 Does Previous Experience significantly predict Current Salary? Report Beta(β), and the p-value (p).Jitter is a term used to describe the variation in conduction time of a water power system. Low throughput jitter is eritical to successful waterline technology. An investigation of throughput jitter in the opening switch of a prototype system yielded the following descriptive statistics on conduction time for 18 trials: =334.8 nanoseconds and s = 6.3 nanoseconds. (Conduction time is defined as the length of time required for the downstream current to equal 10% of the upstream current.) a) Construct a 95% confidence interval for the true standard deviation of conduction times of the prototype system. b) A system is considered to have low throughput jitter if the true standard deviation of conduction times is less than 7 nanoseconds. Does the prototype system satisfy this requirement? Use a = 0.01.
- Find the minimum mean square error forecast Y(1), forecast error e, (1) and Varfe, (1)1 for the following modes. Y, = 0.8Y, +e,. Y, = 3+21+e,.Maximum photosynthetic rates were measured in leaves from diploid (2N) and tetraploid (4N) tall fescue grass. Test the null hypothesis of no difference in the photosynthetic rates for diploids and tetraploids at the 5% level of significance. Photosynthetic Rate (μmol/m²/s) Tetraploids 24 21 25 26 23 Diploids 23 18 17 16 22 23 3) Which of the following pairs of values are the calculated vs critical values for this problem? a. calculated = -3.865; critical = 2.447 b. calculated = 3.865; critical = 2.571The least squares regression line for a set of data is calculated to be y = 24.8 + 3.41x. (a) One of the points in the data set is (4, 37). Calculate the predicted value. (b) For the point in part (a), calculate the residual.
- Bb UTF Bb UTF Bb Sigi 2 Sta Bb E Rep 9 Nev Bb UT Rep Bb UTF Bb UTF Bb Mic * Win ent.blackboardcdn.com/5df8324563085/7628679?X-Blackboard-Expiration=1645045200000&X-Blackboard-Signature%3D BIU A A- | 三= Fill out the table below and calculate the x statistic and degrees of freedom. Blackjack Preserve Winthrop Woods Glencarin Garden Observed 54 48 24 d.f. = If you conduct this analysis in R, the output tells you the p-value = 0.002. What conclusion can you make? Explain how you reached this conclusion.6C A study was conducted that measured the total brain volume (TBV) (in mm3) of patients that had schizophrenia and patients that are considered normal. Table #1 contains the TBV of the normal patients and Table #2 contains the TBV of schizophrenia patients ("SOCR data Oct2009," 2013). Table #1: Total Brain Volume (in mm3) of Normal Patients 1663407 1583940 1299470 1535137 1431890 1578698 1453510 1650348 1288971 1366346 1326402 1503005 1474790 1317156 1441045 1463498 1650207 1523045 1441636 1432033 1420416 1480171 1360810 1410213 1574808 1502702 1203344 1319737 1688990 1292641 1512571 1635918 Table #2: Total Brain Volume (in mm3) of Schizophrenia Patients 1331777 1487886 1066075 1297327 1499983 1861991 1368378 1476891 1443775 1337827 1658258 1588132 1690182 1569413 1177002 1387893 1483763 1688950 1563593 1317885 1420249 1363859 1238979…Determine the mean waiting time W for an M/M/2 system when lambda = 2 and μ = 1.2. Compare this with the mean waiting time in an M/M/1 system whose arrival rate is lambda = 1 and service rate is μ = 1.2. Since the arrival rate per server is the same in both cases and service times don’t vary, should the wait times be the same in both cases?