Stats and probability Let X denote the proportion of allotted time that a randomly selected student spendsworking on a certain aptitude test. Suppose the pdf of X isf(x; 0) = {(0+1)x0, 0≤x≤10, otherwisewhere -1< 0. A random sample of ten students yields data x₁ = 0.92, x2 = 0.79, x3 = 0.90,x4 = 0.65, x5 = 0.86, x6 = 0.47, x7 = 0.73, x8 = 0.97, x9= 0.94, x10 = 0.77.(a)(b)Use the method of moments to obtain an estimator of 0, and then compute theestimate for this data.Obtain the maximum likelihood estimator of 0, and then compute theestimate for the given data.35.923NOVzoom18##PחיC$G4RMacBook ProG Search or type URL%0056>&87☆WTYU890100

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Answered: Let X denote the proportion of allotted…

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.1: Measures Of Center

Problem 9PPS

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Find the average rates of change of f(x)=x2+2x (a) from x1=3 to x2=2 and (b) from x1=2 to x2=0.
Let X denote the proportion of allotted time that a randomly selected student spends working on a certain aptitude test. Suppose the pdf of X is f(x; 0) = (0+1)x where -1 < 0. A random sample of ten students yields data x₁ = 0.86, x₂ = 0.92, x3 = 0.95, x4 = 0.94, X5 = 0.45, x6 = 0.65, x = 0.73, xg = 0.90, x9 = 0.79, X10 = 0.79. (a) Use the method of moments to obtain an estimator of Ⓒ 1 (1 + X) - 1 1 0 (x - 1) - - 2 0 (1-7) - -n ΣIn(X) Eln(X;) n 2 0 (1 + 7) 1 0 (7-1) - Compute the estimate for this data. (Round your answer to two decimal places.) 0≤x≤ 1 otherwise 1 (b) Obtain the maximum likelihood estimator of 0. Eln(X;) n ΣΙn(Χ;) -n - 1 1 n ΣIn(Χ.) Compute the estimate for the given data. (Round your answer to two decimal places.)
Let X denote the proportion of allotted time that a randomly selected student spends working on a certain aptitude test. Suppose the pdf of Xis F(x; 6) = 0 otherwise where -1 <0. A random sample of ten students yields data x₁ = 0.65, x₂ = 0.92, x₁=0.86, x40.94, X-0.95, x=0.73, x=0.90, X-0.49, x 0.79, *10= 0.79. (a) Use the method of moments to obtain an estimator of 1 O 0 (x-1)-2 0 (x-1)-1 O 0 (1+)-1 -2 Compute the estimate for this data. (Round your answer to two decimal places.) (b) Obtain the maximum likelihood estimator of 0. Lin(X)) n Zn(x)) -n -n Din(x) n in(X) ΣΟΧ) 1
Write an absolute value function f(t) to describe an individual variance from normal body temperature where t is the individual current temperature
Suppose f(x) = 0.20 for 0 < x < 5. Determine the mean and variance of X. Mean = i (Round the answer to 2 decimal places.) Variance = i (Round the answer to 3 decimal places.)
Suppose that the probability that a patient admitted in a hospital is diagnosed with a certain type of cancer is 0.03. Suppose that on a given day 10 patients are admitted and X denotes the number of patients diagnosed with this type of cancer. The mean and the variance of X are: None of these E(X)=0.5 and V(X)=0.475 E(X)=0.4 and V(X)=0.384 E(X)=0.3 and V(X)=0.291
A researcher believes at 49% of people who grew up as the only child have an IQ score over 100. However, unknown to the researcher this figure is actually 50% which is the same as the general population. To attempt to find evidence for the claim, the researcher is going to take a random sample of 400 people who grew up as an only child. Let X be the proportion of people in the sample with an IQ score above 100. (a) find the mean of C (b) find the standard deviation of X (c) compute the approximation for P(x >0.49) , which is the probability that there will be 49% or more with the IQ scores over 100 in the sample. Round your answer to four decimal places. * greater than sign, is supposed to be greater than or equal to sign*
Suppose that f(x) = 0.125x for 0 < x < 4 Determine the mean and the variance of X.
1 b) For any data set, approximately 95% of the observations fall in the interval (T − 2s, T+2s). True False
5. Let X have the pdf (x + 1) -1 < x < 1 f(x) = %3D elsewhere. Find the mean and the variance of X.
Let X-G(6,0.3) Find the variance of the gamma distribution.
Suppose that the 101 randomly selected eighth-grade students (mentioned in question 6) took a “practice” test similar to the official standardized test a month before the official test was administered. The researchers reported that the (two-tailed) statistical test of the difference between the practice and official test scores resulted in t100 = -2.32, p < .05. (a) Given that the difference score was computed as D = (practice score – official score), do the reported results indicate that students scored significantly higher or lower on the official test relative to the practice test? Explain. (b) If we constructed the corresponding 95% confidence interval for the mean difference (between the practice and official test scores) in the population, would it include zero? Explain.

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