Let {X₁, X2,...,xn) and (Y₁, Y2...., Ym} be independent random samples from n(ux, o) andn(μy, o) respectively. Furthermore, it is known that co= do?, with o,and o areunknown parameters, and c, and d are known constants.(a) Construct a 100(1-a) % confidence interval for μx - Hy.(b)Suppose that c = 5, d = 6 and m = n, and the following independent randomsamples of X and Y are observed.XYXYXYXY10.514.76812.489.319.787.511.7410.714.7710.119.812.969.626.1211.629.8119.678.6313.85 10.61 14.09 8.3212.7810.0815.3Assume that the maximum error = 0.5 for the 95% confidence interval needs to beachieved. Is the sample size large enough? If not, find the least sample size of m = n.

x y 10.5 14.76 10.7 14.77 9.81 19.67 10.08 15.3 8 12.48 10.1 19.8 8.63 13.85 9.3…

Answered: -) Construct a 100(1-a)% confidence…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

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Q 3.14: The engineering and the marketing team are interested in the mean number of requests of users of the company's search engine. The marketing team collects a sample of 220 users and the engineering team collects a sample of 1000 users. If both teams create a 95% confidence interval based on percentiles for distributions created with 10,000 samples, what differences would you expect? Select all that apply below A The marketing distribution would have a smaller standard error. The 95%-tile of the marketing distribution will be closer to the mean than the 95%-tile of the engineering distribution. В The 5%-tile of the engineering distribution will be closer to the mean than the 5%-tile of the marketing distribution. The distributions would have similar means. E The engineering distribution would have a smaller standard error.
Recall the method used to obtain a confidence interval for the difference between two population means for matched samples. (a) The following data are from matched samples taken from two populations. Compute the difference value for each element. (Use Population 1 − Population 2.) Element Population Difference 1 2 1 11 6 ? 2 7 6 ? 3 9 4 ? 4 12 5 ? 5 13 8 ? 6 15 13 ? 7 15 12 ? (b) Compute d (d has a lline over it) answer: ______ (c) Compute the standard deviation sd. (Round your answer to two decimal places.) answer: _______ (d) What is the point estimate of the difference between the two population means? (Use Population 1 − Population 2.) answer: _______ (e) Provide a 95% confidence interval for the difference between the two population means. (Use Population 1 − Population 2. Round your answers to two decimal places.) answer: ______to______
Assume that both populations are normally distributed. a) Test whether . Population 1 Population 2 10 11.1 Pt2 at the a= 0.05 level of significance for the given sample data 10 9.8 2.3 (b) Construct a 95% confidence interval about u, - H3. 2.7 H1 H1 > H2 O C. Ho H1-H2 H1 H1> H2 D. Ho H1=H2 %3D Detemine the P-value for this hypothesis test. P = (Round to three decimal places as needed.) %24
Assume that both populations are normally distributed. (a) Test whether H1 #H2 at the a = 0.05 level of significance for the given sample data. (b) Construct a 95% confidence interval about u, - H2. Population 1 Population 2 13 13 14.1 11.8 4.2 3.1 (a) Test whether u, # H, at the a = 0.05 level of significance for the given sample data. Determine the null and alternative hypothesis for this test. O A. Ho:H1 # H2 H1:H1 = H2 O B. Ho:H1 = H2 H1:41 > H2 OC. Ho:H1 H2 H1:H1> H2 D. Ho:H1 = H2 H1:41 # H2 Detemine the P-value for this hypothesis test. P = (Round to three decimal places as needed.)
Suppose the heights of a population of men are normally distributed with an unknown population mean and a population standard deviation of 2.4 inches. A random sample of men from the population produces a sample mean height of x ¯ =68.2 inches. What value of z should be used to calculate a confidence interval with a 90% confidence level? z 0.10 z 0.05 z 0.025 z 0.01 z 0.005 1.282 1.645 1.960 2.326 2.576
Assume that both populations are normally distributed. (a) Test whether μ₁ #₂ at the α = 0.05 level of significance for the given sample data. (b) Construct a 95% confidence interval about μ₁ − P2. H₁₁P2 OB. Ho P1 P2 H₁P₁ P₂ C. Ho H₁ xample H2 H₁ P₁ P2 D. Ho H₁ H2 H₁ H₁ H2 Detemine the P-value for this hypothesis test. P= (Round to three decimal places as needed.) Get more help. E n X S Population 1 12 10.2 2.6 Clear all Population 2 12 7.5 3
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-) Construct a 100(1-a)% confidence interval for μx-μy. () Suppose that c= 5, d = 6 and m = n, and the following independent randor samples of X and Y are observed. X Y X Y X Y X Y 10.5 14.76 8 12.48 9.3 19.78 7.5 11.74 10.7 14.77 10.1 19.8 12.96 9.62 6.12 11.62