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- Secuon 7.1- MAI 2AE Applied s X https://learn.zybooks.com/zybook/MAT-240-J4373-OL-TRAD-UG.22EW4/chapter/7/section/1?content_resource_id=5. A Q 18 AT 240: Applied Statistics home >7.1: Hypothesis test for a population proportion E zyBooks catalog Help/FAQ 8 LaShonda Check Next Feedback? CHALLENGE 7.1.3: Hypothesis test for a population proportion. ACTIVITY 387674.1891676 qdzay? Jump to level 1 An airline company is interested in improving customer satisfaction rate from the 50% currently claimed. The company sponsored a survey of 257 customers and found that 141 customers were satisfied. Determine whether sufficient evidence exists that the customer satisfaction rate is higher than the claim by the company. What is the test statistic z? Ex: 1.23 What is the p-value? Ex: 0.456 Does sufficient evidence exist that the customer satisfaction rate is different than the claim by the company at a significance level of a = 0.1? Select v Check Next 9:19 PM h L 70°F A aO à 40) 4/17/202 Delcte 411…Please do not give solution in image format thanku Simulate a continuous Exponential-Gamma mixture. Suppose that the rate parameter Λ has Gamma(r, β) and Y has Exp(Λ) distribution. That is, (Y | Λ = λ) ∼ fy (y | λ) = λe −λy . Generate 1000 random observation from this mixture with r = 4 and β = 2 and compare those with random samples from the theoretical distribution.9. Zero-mean Gaussian random variables x and y have variance oz= 3 and o= 4 respectively and a y -1 correlation coefficient p = ing Write an expression for the joint density function.
- Preliminary data analysis indicate that it is reasonable to use a t-test to carry out the specified hypothesis test. Perform the t-test using the critical-value approach. %3D X = 44.2 and s = 7.3 Use a significance level of a = 0.05 to test the claim that u 35.8. The sample data consists of 10 scores for which H:µ±35.8 0 Н и-35.8 Test statistics: t=3.64 Critical Value: t=+/-2.262 H:µ=35.8 Reject There is sufficient evidence to support the claim that the mean is different from 35.8. П. : и 3 44.2 0. H:µ±44.2 a. Test statistics: t=3.64 Critical Value: t= +/- 2.262 H:µ=44.2 Н, There is sufficient evidence to support the claim that the mean is different from 44.2. Reject4. We wish to learn the relationship between ranks and variate values via an empirical study. Let X1,..., Xn R1,..., R, be the ranks of X1,..., Xn, i.e., R; = rank(X;), i = 1,..., n. Please simulate data X1,..., X,n, with n = 100, and four types of distributions of X, X ~ X ~xỉ, X - N (0, 1), X ~ Bin(5,0.9), respectively; for each distribution of X, compute the Pearson "product-moment" sample correlation coefficients Pi, p2 and ps as follows: i.i.d. X, where X has a continuous C.D.F. and E(X?) < oo. Let Unif (0, 1), 1 (a) pi using {(X;, R;) : i = 1,..., n}; (b) p2 using {(Xi, Ri+1) : i = 1,..., n – 1}; (c) Pz using {(X;, R;-1) : i = 2,..., n}. Please summarize your results and conclusion.need with bell shape curve please
- 5. S Jn Show that the 95 percent fiducial limits for the mean of the population are x ± to.05, where to.05, stands for the value of t at 5 percent level of significance. Deduce that for a random sample of 16 values with mean 41.5 inches and the sum of the squares of the deviations from the mean 135 (inches)² and drawn from a normal population, 95 percent fiducial limits for the mean of the population are 39.9 and 43-1 inches.Draw the appropriate graph corresponding to the frequency distribution2t 2.15 A critical part has the following failure distribution: ƒ(t) · 40 OseS 40 yr. 402, 402 » Find: (a) R(1yr) (b) MTTF
- 7. Radar returns (power) are modeled in terms of the following (gamma) density, x X f(x) = ² ² e ²³ U (x) B (a) What is the value of B so that f(x) is a valid pdf? (b) What is the probability that the received power exceeds 2 units. (c) What is the probability that the received power is less tha 6 units. (d) What is the probability that the received power lies between 2 and 6 units (e) What is the probability that the received power is exactly 5 units. (f) If past observations have shown that the received power is always more than 3 units, what is the probability that the the received power will be less than 6 units. (g) What is theprobability that X²>4? (h) What is the probability that sqrt(X)>2?7. If the r.v.'s X and Y have bivariate normal distribution with parameters ₁ = 3.2, µ2 = 1.44, 0₁ = 12, 02 = 16 and p = 0.7, determine the following quantities: (a) E(X), E(Y), Var(X), Var(Y), p(X, Y), and Cov(X, Y). (b) the distribution of X and the distribution of Y. (c) the probabilities P(0.8 14). (d) the conditional distribution of Y, given X = 3.8. (e) the conditional distribution of X, given X = 10. (f) the probabilities P(X > 3.2|Y = 10), P(Y < 12|X = 3.8). (g) E(X|Y = 10), E(Y|X = 3.8), Var(X|Y = 10), Var(Y|X = 3.8).