A whole life policy is issued to (30) with Z=10 for T20. If the force of interest and mortality is constant, and the 80* percentile of Z is 5.12, find the actuarial present value of the benefit for this policy.
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- In an effort to make the distribution of income more nearly equal, the government of a country passes a tax law that changes the Lorenz curve from y = 0.98x2.1for one year to y = 0.32x2 + 0.68x for the next year. Find the Gini coefficient of income for both years. (Round your answers to three decimal places.) after beforeThe analysis of tooth shrinkage by C. Loring Brace and colleagues at the University of Michigan’s Museum of Anthropology indicates that human tooth size is con-tinuing to decrease and that the evolutionary process has not yet come to a halt. In northern Europeans, for example, tooth size reduction now has a rate of 1% per 1000 years. a. If t represents time in years and y represents tooth size, use the condition that y = 0.99y0 when t = 1000 to find the value of k in the equation y = y0 ekt. Then use this value of k to answer the following questions. b. In about how many years will human teeth be 90% of their present size? c. What will be our descendants’ tooth size 20,000 years from now (as a percentage of our present tooth size)?If the observed t value is 3.32 and the critical t value is 1.812, then that means.
- A)I will test the claim that there is no correlation (start with the Claim and finish with the conclusion) The best estimate The P value is (big/small) so I have to (either give the average of the y's or plug in the x into the y-=mx+b)If I have 2 for the degrees of freedom with an alpha of 0.05, what would be the critical value of t?The analysis of tooth shrinkage byC. Loring Brace and colleagues at the University of Michigan’s Museum of Anthropology indicates that human tooth size is continuing to decrease and that the evolutionary process has not yetcome to a halt. In northern Europeans, for example, tooth sizereduction now has a rate of 1% per 1000 years.a. If t represents time in years and y represents tooth size, usethe condition that y = 0.99y0 when t = 1000 to find thevalue of k in the equation y = y0ekt. Then use this value of kto answer the following questions.b. In about how many years will human teeth be 90% of theirpresent size?c. What will be our descendants’ tooth size 20,000 years fromnow (as a percentage of our present tooth size)?
- For some genetic mutations, it is thought that the frequency of the mutant gene in men increases linearly with age. If m1 is the frequency at age t1, and m2 is the frequency at age t2, then the yearly rate of increase is estimated by r = (m2 − m1)/(t2 − t1). In a polymerase chain reaction assay, the frequency in 20-year-old men was estimated to be 17.7 ± 1.7 per μgDNA, and the frequency in 40-year-old men was estimated to be 35.9 ± 5.8 per μg DNA. Assume that age is measured with negligible uncertainty.a) Estimate the yearly rate of increase, and find the uncertainty in the estimate.b) Find the relative uncertainty in the estimated rate of increase.With α = .05 and df = 8, the critical values for a two-tailed t-test are t = ±2.306. Assuming all other factors are held constant if the df value were decreased to df = 5, what would happen to the size of the critical regions?You are considering an investment in Justus Corporation's stock, which is expected to pay a dividend of $1.75 a share at the end of the year (D1 = $1.75) and has a beta of 0.9. The risk-free rate is 5.4%, and the market risk premium is 6%. Justus currently sells for $21.00 a share, and its dividend is expected to grow at some constant rate, g. Assuming the market is in equilibrium, what does the market believe will be the stock price at the end of 3 years? (That is, what is ?) Do not round intermediate calculations. Round your answer to the nearest cent.
- 1)A new starch polymer foam with high shock absorbent properties is expected to perform better thanthe old foam which can withstand a maximum impact of 1.56 Joule (J). A simple destructive testto quantify shock absorption ability of the new foam is conducted. Table 5 shows the impact energyabsorbed (in J) that the new foam can withstand for each test. Table 51.61 1.5 1.65 1.7 1.4 1.59 1.65 1.5 Does the recorded data suggests that the new foam performs better than the old foam? Use 2.5%level of significance. 2) A number of 28 university students who smokes completed a questionnaire inquiring their smokinghistory and behavior. The result shows that the average smoking initiation age of this group is 21.6years with a variance of 18.49. Based on past record, the smoking initiation age of universitystudent has a mean of 20.74 years with a standard deviation of 5.1 years. Conduct a necessaryanalysis to determine if the smoking initiation age remain the same as the previous record.…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 theseSuppose μ1 and μ2 are true mean stopping distances at 50 mph for cars of a certain type equipped with two different types of braking systems. The data follows: m = 8, x = 114.6, s1 = 5.03, n = 8, y = 129.3, and s2 = 5.38. Calculate a 95% CI for the difference between true average stopping distances for cars equipped with system 1 and cars equipped with system 2. (Round your answers to two decimal places.) ,
