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Why does the significance level differ among industries? Is the null hypothesis more likely to be rejected at α = 0.01 than α = 0.10? As the significance level increases to α = 0.10 from α = 0.01, which type error is more likely to occur? What may be done to reduce the likelihood of incurring this error?
Simulation of an expectation. Design a simulation exercise in R to approximate the value of E ( X^X) when X has a U [0,1] distribution. Plot the value of the approximation as the sample size goes from 1 to 10,000
A loan of $9,800 is to be repaid with monthly payments for 12 years at 3.2% interest compounded monthly. Calculate the monthly payment.
Suppose that f is continuous on [a,b]. Prove that f is integrable, i.e., ( the integral symbol with b at top and a at the bottom) f exists.
Is this test will be given to 600 randomly selected people, where each person has the illness, find the probability that there will be at least one false negative.
the standard IQ test has a mean of 98 and the standard deviation of 14. We want to be 99% certain that we are within the 4 IQ points of the true mean. Determine the required sample size.
On a 10-question multiple choice test there are 5 possible answers for each question, of which 1 is correct and the other 4 are incorrect. If a student guesses randomly and independently, what is the probability of:
A postal service will accept packages only if the length plus girth is no more than 114 inches. Assuming that the front face of the package is square, what is the largest volume package that the postal service will accept?
I get the critical points are(0,0) and(-2^1/5, 4^1/5). Then I get det(0,0)=2 and det(-2^1/5, 4^1/5)=-10, so index of the system is -8 and the index of periodic orbit is 1, so there's no periodic orbit.
Find the continuous-compounding nominal interest rate per annum (r) that is equivalent to a discrete-compounding interest (i) of:
What is the point of intersection of the two graphs? What information does this give us?
An orchard contains 64 peach trees with each tree yielding an average of 53 peaches. For each 1 additional trees planted, the average yield per tree decreases by 6 peaches. How many trees should be planted to maximize the total yield of the orchar..
Determine convergent or divergence. SUM from n=0 to infinity for
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