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Question 1: In order to have a standard error of the mean equal to 20, how many samples from a normally distributed population with a standard deviation of 60 one would need to take?
Question 2: A company that sells annuities must base the annual payout on the probability distribution of the length of life of the participants in the plan. Suppose the probability distribution of the lifetimes of the participants is approximately a normal distribution with a mean of 68 years and a standard deviation of 3.5 years. Find the age at which payments have ceased for approximately 86% of the plan participants.
Question 3: In order to be accepted into a certain top university, applicants must score within the top 5% on the SAT exam. Given that the exam has a mean of 1000 and a standard deviation of 200, what is the lowest possible score a student needs to qualify for acceptance into the university? Round your answer to the nearest integer.
Would you use the regression model to predict a firm's pension funding?- Does the model explain much of the variation in firms' pension funding on the basis of profitability?
What is the probability that the first friend was born on a Friday?- What is the probability that both friends were born on a Friday?
We observe that the computer has performed satisfactorily for 2 hours. What is the probability that the machine will not fail within the next 2 hours?
Suppose you are a researcher who has collected and analyzed a sample of values. When you perform a hypothesis test the p-value is calculated to be 0.051. Would you reject or fail to reject the null hypothesis? Defend your choice.
You are contemplating making one of 3 investments, A, B, or C. Here is some information about the chance of each being successful:
Show by induction on r that S ≡ 0, then that V ≡ 0. (b) Un is the unbiased estimator of g(Q) with smallest variance. Hint: For an unbiased estimator T with symmetrization W, W = Un by part (a).
A lease agreement between Earth Leasing Corporation and New Moon Company.
Given an Aumann model of incomplete information with beliefs (N, Y, (Fi)i∈N , s, P) with n players, suppose that for each i ∈ N, the fact that player i describes probability qi to an event A is common knowledge among the players. Prove that q1 = q..
Construct a 90 percent confidence interval for the proportion of all depositors who ask for cash back. (Round your answers to 4 decimal places.)
1. suppose a 95 confidence interval is computed for u resulting in the interval 112.4 121.6. then it would be accurate
Find the probability that the rent is between $2500 and $2650.- Find a rent r such that 90% of all rents are less than r dollars per month. Write a Solution Trail for this problem.
Show the complete ANOVA table for this test including the test statistic. The null hypothesis is to be tested at 95% confidence. Determine the critical value for this test. What do you conclude?
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