In Exercises 5-20, assume that the two samples are independent simple random samples selected from
- a. Test the given claim using the P-value method or critical value method.
- b. Construct a confidence interval suitable for testing the given claim.
15. BMI We know that the
Male BMI n = 40,
Female BMI n = 40,
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Essentials of Statistics (5th Edition)
- 24 Line graphs typically connect the dots that represent the data values over time. If the time increments between the dots are large, explain why the line graph can be somewhat misleading.arrow_forward17 Make a box plot from the five-number summary: 3, 4, 7, 16, 17. 992) waarrow_forward12 10 - 8 6 4 29 0 Interpret the shape, center and spread of the following box plot. brill smo slob.nl bagharrow_forward
- Suppose that a driver's test has a mean score of 7 (out of 10 points) and standard deviation 0.5. a. Explain why you can reasonably assume that the data set of the test scores is mound-shaped. b. For the drivers taking this particular test, where should 68 percent of them score? c. Where should 95 percent of them score? d. Where should 99.7 percent of them score? Sarrow_forward13 Can the mean of a data set be higher than most of the values in the set? If so, how? Can the median of a set be higher than most of the values? If so, how? srit to estaarrow_forwardA random variable X takes values 0 and 1 with probabilities q and p, respectively, with q+p=1. find the moment generating function of X and show that all the moments about the origin equal p. (Note- Please include as much detailed solution/steps in the solution to understand, Thank you!)arrow_forward
- 1 (Expected Shortfall) Suppose the price of an asset Pt follows a normal random walk, i.e., Pt = Po+r₁ + ... + rt with r₁, r2,... being IID N(μ, o²). Po+r1+. ⚫ Suppose the VaR of rt is VaRq(rt) at level q, find the VaR of the price in T days, i.e., VaRq(Pt – Pt–T). - • If ESq(rt) = A, find ES₁(Pt – Pt–T).arrow_forward2 (Normal Distribution) Let rt be a log return. Suppose that r₁, 2, ... are IID N(0.06, 0.47). What is the distribution of rt (4) = rt + rt-1 + rt-2 + rt-3? What is P(rt (4) < 2)? What is the covariance between r2(2) = 1 + 12 and 13(2) = r² + 13? • What is the conditional distribution of r₁(3) = rt + rt-1 + rt-2 given rt-2 = 0.6?arrow_forward3 (Sharpe-ratio) Suppose that X1, X2,..., is a lognormal geometric random walk with parameters (μ, o²). Specifically, suppose that X = Xo exp(rı + ...Tk), where Xo is a fixed constant and r1, T2, ... are IID N(μ, o²). Find the Sharpe-ratios of rk and log(Xk) — log(Xo) respectively, assuming the risk free return is 0.arrow_forward
- i need help with question 2arrow_forward4 (Value-at-Risk and Expected Shortfall) Suppose X Find VaR0.02(X) and ES0.02 (X). ~ Uniform(-1, 1).arrow_forward亚 ח Variables Name avgdr employ educ exerany Label AVG ALCOHOLIC DRINKS PER DAY IN PAST 30 EMPLOYMENT STATUS EDUCATION LEVEL EXERCISE IN PAST 30 DAYSarrow_forward
- Glencoe Algebra 1, Student Edition, 9780079039897...AlgebraISBN:9780079039897Author:CarterPublisher:McGraw Hill