A sample of 30 people showed that 25 expressed at some point in their life, they were ashamed of their country. If we were to use this data to test a hypothesis at a = 0.05 that this is greater now than in the past (before 2000). What would be our Critical Value?
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- Repeat Example 5 when microphone A receives the sound 4 seconds before microphone B.The 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)?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)?
- Suppose the table below displays the estimation results from the Logit model Regressor Coefficient (standard error) (log)Income(X1) 0.48 (0.12) Age(X2) 0.03 (0.01) -0.008 (0.02) constant 8.07 (1.16) where the heteroskedasticity-robust standard errors are reported along with the coefficient estimates. How do you interpret the coefficient on log income? Is it significantly different from zero? What is the log odds-ratio for an individual with log income equal to 10 and age equal to 40? Explain what it means.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 beforeA researcher hypothesizes that in a certain country the net annual growth of private sector purchases of government bonds, B, is positively related to the nominal rate of interest on the bonds, NI, and negatively related to the rate of inflation Π: Bt = a0 + a1NIt + a2Π t + ut Note that it may be hypothesized that B depends on the real rate of interest on bonds, R, where R = NI – Π. Using a sample of 56 annual observations, s/he estimates the following equations: (1) Bt = 0.43 + 0.90NIt - 0.97Πt R21 = 0.962, SSR1 = 2.20, QRESET(F1,52) = 16.6 (3.58) (8.80) (-1.05) (2) Bt = 0.44 + 0.94Rt R22 = 0.960, SSR2 = 2.22, QRESET(F1,53) = 0.9 (9.70) (16.7) (3) Bt = 0.44 + 1.14NIt SSR3 = 9.20, QRESET(F1,53) = 59.9 (8.84) (36.1) (4) NIt = 0.08 + 0.94Πt R24 = 0.997, SSR4 = 0.18, QRESET(F1,53) = 1.4…
- A poll found that 15% of adults do not work at all while on summer vacation. In a random sample of 8 adults, let x represent the number who do not work during summer vacation. Complete parts a through e.An efficiency study of the morning shift at a factory (7:00 A.M. to 12:00 noon) indicates that an average worker who arrives on the job at 7:00 A.M. will have produced Qunits t hours later, whereQ(t) = -t3 + 9t2 + 15tWhen during the morning shift does the worker’s production reach the point of diminishing returns?For b there are two cases and for c I have to plug the initial data into the ode
- When testing: H0: (alpha)1^2=(alpha)2^2. HA: (alpha)1^2>(alpha)2^2. At (alpha)=0.01, n1=5, n2=6. s1^2=15750 and s2^2=10920, what critical value do we use?If I have 2 for the degrees of freedom with an alpha of 0.05, what would be the critical value of t?You have received a radioactive mass that is claimed to have a mean decay rate of at least 1 particle per second. If the mean decay rate is less than 1 per second, you may return the product for a refund. Let X be the number of decay events counted in 10 seconds. a) If the mean decay rate is exactly 1 per second (so that the claim is true, but just barely), what is P(X ≤ 1)? b) Based on the answer to part (a), if the mean decay rate is 1 particle per second, would one event in 10 seconds be an unusually small number? c) If you counted one decay event in 10 seconds, would this be convincing evidence that the product should be returned? Explain. d) If the mean decay rate is exactly 1 per second, what is P(X ≤ 8)? e) Based on the answer to part (d), if the mean decay rate is 1 particle per second, would eight events in 10 seconds be an unusually small number? f) If you counted eight decay events in 10 seconds, would this be convincing evidence that the product should be returned? Explain.
