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MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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3. Let X1, X2, ..., Xn be a random sample from the population N(µz,0²) and Y1, Y2,...,Ym a random sample from the population N(µy, o2), where both means (z and Hy) are assumed known. Note that the two distributions have a common variance of o². (a) If the X's and Y's are independent, show that the MLE for the common variance is: E (Xi - H2)² +E(Y; - Hy)? n+ m (b) Is the MLE found above unbiased for o2?
Supposed a firm conducted a survey of workers involving the variable ‘’skill’’ and ‘educational level’. The survey revealed that 50% of the workers are elementary school graduate (E), 40% are secondary school Graduates (S) and 10% are college and above Graduates (C). If on the basis of skill, the survey revealed that 10% of Elementary school Graduate are unskilled, 5% of secondary school Graduate are unskilled, and 2% of college and above Graduates are unskilled. Suppose a worker is selected randomly and is found to be unskilled. What is the probability that the worker is a College Graduate?
An Internet provider is trying to gain advertising deals and claims that the mean time a customer spends online per day is greater than 25 minutes. You are asked to test this claim. (a) How would you write the null and alternative hypotheses if you represent the Internet provider and want to support the claim? (b) How would you write the null and alternative hypotheses if you represent a competing advertiser and want to reject the claim? (a) Ho: Ha: i ▶ 25 25
5% Coupon 10% Coupon 15% Coupon Average Yield-to-Maturity of 5 Years to Maturity Bonds . 9.01% 9.03% Average Yield-to-Maturity of 8 Years to Maturity Bonds 9.47% . 9.28% I am having trouble finding the missing value for Maturity 5 through linear interpolation. YTM, x = 9.01% + [ (15-10)/(15-5) * (9.03%-x) ] I saw this solution but I have no idea when they got the answer 8.99% from that. Please help
Aresearcher wishes to estimate the percentage of adults who support abolishing the penny. What size sample should be obtained if he wishes the estimate to be within 3 percentage points with 95% confidence if (a) he uses a previous estimate of 22% (b) he does not use any prior estimates? (Round up to the nearest integer.) (a) n (b) n Round up to the nearest integer.)
7. Find the p-value for the following scenarios: a) right-tailed z-test with z=2.3 (12) b) two-tailed z-test with z=2.3 c) left-tailed t-test with r=-2.3 and 16 degrees of freedom d) x* test with X =17.4 with 6 degrees of freedom 517 passengers that flew on planes that did not recirculate air, 98 reported post-flight respiratory symptoms. Out of 583 that flew on planes that did recirculate air, 141 reported post-flight respiratory symptoms. Is there sufficient evidence to support the claim that more passengers had respiratory symptoms that flew with recirculated air? 3. Some airlines recirculate up to 50% of their cabin air in order to increase fuel efficiency. Out of (8)
I need null hypothesis, alternative hypothsis, then X2, p-value
16. According to a food website, the mean consumption of popcorn annually by Americans division of the food website unleashes an aggressive campaign designed to get Americans to consume even more popcorn. Complete parts (a) through (c) below. 63 quarts. The marketing (a) Determine the null and alternative hypotheses that would be used to test the effectiveness of the marketing campaign. (1) (2) Ho: (3) (4) H1: (Type integers or decimals. Do not round.) (b) A sample of 895 Americans provides enough evidence to conclude that marketing campaign was effective. Provide a statement that should be put out by the marketing department. O A. There is not sufficient evidence to conclude that the mean consumption of popcorn has stayed the same. O B. There is not sufficient evidence to conclude that the mean consumption of popcorn has risen. O C. There is sufficient evidence to conclude that the mean consumption of popcorn has stayed the same. O D. There is sufficient evidence to conclude that the…
Suppose that a researcher, by using a sample of transactions of residential houses, wants to estimate how the price of the houses is affected by the absence of an elevator in the building. To this end, he regresses the price of the house in thousands euro, price, on the dummy no_elevator indicating the absence of the elevator (dummy equal to 1) or the presence (dummy equal to 0): price; = a0 +a1 no_elevator; + u; The OLS estimates are (standard errors in round brackets below the corresponding coefficient): R2 = 0.036 price; = 199.937 - 73.068 no_elevator; (10.735) (5.482) The poor fit of the model suggests the researcher to insert an additional regressor, namely the surface of the houses, area, in square meters. Supposing that area and no_elevator are negatively correlated, what do you think will happen to the previously estimated coefficient of no_elevator? O (a) We cannot say given the so poor fit of the model O (b) It will be larger than -73.068 (i.e. -30) O (c) It will be smaller…
If we use a cutoff of 0.05, is it unusual for someone to have a great deal of confidence in educational institutions?
Could also you please show how to find Critial Values, Test Statisitc T, and the P value using a Calculator (TI 84) and whether it reject or fail to reject based on the evidence.
28)

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