Suppose X-N(20,36 ) and Y-N(21,16). If a sample of size 20 was selected from the X population and another sample, independent of the first, of size 30 was selected from the Y population, then P(X

Q: 5. When Y is regressed on X, B1 < 0, sx±0, sy± 0, and sý + sỷ. In this example, the sum of the…

A: Regression predicts the value of dependent variable by using one or more independent variables.

Q: Show that for a sample of size 'n' drawn from N (µ, o²) the statistic u= 1 Ex; is the most efficient…

A: Answer: Using the given data,

Q: In a test of Ho:p=0.4 against H: p 0.4, a sample of sizc 100 produces Z 31•28 for the value of the…

A: Hey there! Thank you for posting the question. Since there are multiple questions posted, we will…

Q: Consider a study using a between-groups design with between-groups df = 3 and within-groups df = 4.…

A: Given  df1 = 3 and within-groups df2 = 4. Given an F ratio of 6.8,

Q: Suppose P (t) represents the size of a population at time t. What do each of the following…

A: We have given p(t) is  the size of the population at time t .

Q: A chemical supply company currently has in stock 100-lb of a certain chemical, which it sells to…

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Q: 3. Suppose the population of Winneba is approximated by P(t) = P,e03, where t is measured in years…

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Q: Suppose that you want to test Ho: µ = 0.54 against H,: u <0.54 based on a sample of n 25 and s =…

A: Null Hypothesis: A hypothesis which is tested for plausible rejection is called the Null Hypothesis…

Q: Q3 2Complete by a suitable answers: 1- Let f(x) =,-1<x <1, if Y = Xx² ,then F(y) = p(Y <y) = p(X² s…

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Q: Using Table G, find the critical value(s) for each. Show the critical and noncritical regions, and…

A: 2c) The hypotheses can be constructed as: H0: σ2 = 225 H1: σ2 ≠ 225 The sample size (n) = 13 Degree…

Q: Given that P(X = 2) = 45P(X = 6) - 3P(X = 4) for a Poisson variate X. Find a. P(X > 1) b. P(X < 2)

A: First we have to determine the parameter of Poisson variable X with the help of given equation.

Q: 1. A T interval for the difference of 2 population means was obtained on the TI, as shown below.…

A: Given the T interval for the difference of 2 population means as -21.17, 81.168

Q: A sample of size n=16 is drawn from a normally distributed population with E(X)=20 and SD(X)=8. Find…

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Q: inspecting devices to sample a fraction of their output for quality control purposes. The first…

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Q: Researchers determined that 60 Kleenex tissues is the average number of tissues used during a cold.…

A: Solution: Given information: n= 100 Sample size  x=52 Sample mean s= 22 Sample standard deviation μ=…

Q: A sample of n = 81 from a population of u = 80 and o = 18 has a mean M = 81. What is the z-score for…

A: Solution-: Given: n=81,μ=80,σ=18,M=18 We find the z-score for the sample means?

Q: Let X, = (X1, ..., X„) be a random sample from a chi-square population with unknown number v of…

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Q: A certain brand of upright freezer is available in three different rated capacities: 16ft3, 18 ft3,…

A: “Since you have posted a question with multiple sub-parts, we will solve first three sub-parts for…

Q: A researcher found for Group 1 that out of 362 orders there were 329 orders (91%) that were…

A: Consider the level of significance as 0.05.

Q: Find the critical value F0 for a one-tailed test using α = 0.01, d.f.N = 3, and d.f.D = 20.

A: We have to find critical value.

Q: 42. If X is a Poisson variate, such that P(X = 2)=9(X =4)+90P(X =6) %3D Find i) 1, the mean of X and…

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Q: Let X1, X2,..., Xn represent IID RVs with mean u and variance o?. Define RVs 0n as a function of X1,…

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Q: Given the auto correlation function for a stationary ergodic process with no periodic components is…

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Q: A research center claims that at least 23% of adults in a certain country think that their taxes…

A: The random variable X follows normal distribution. We have to test whether at least 23% of adults in…

Q: I. Find the critical value (s) for the t-test for each. 1. n = 15, α = 0.05, right-tailed 2. n = 24,…

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Q: 2. For a population with u = 40 and o = 5, compute the z-score corresponding to each of the…

A: Given data,μ=40σ=5

Q: where the populations x(t) and y(t) are measured in thousands and t in years. Use a numerical solver…

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Q: Suppose that L = 27, a2 = 1, and the initial temperature distribution is f(x) = 27 - x for 0 <x< 27.…

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Q: 13. If t is the most efficient estimator of 0 and t another estimate with efficiency e, show that…

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Q: 9. Suppose that N = 47. What is the critical value of r needed to reject a one-tailed hypothesis…

A: Given that  Sample size n =47 Level of significance =alpha =0.05

Q: Q1. An anthropologist wants to collect data to determine whether the two different cultural groups…

A: “Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: 4. In one model of the changing population P(t) of a community, it is assumed that dP dt dB dD dB…

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Q: Question 7 Suppose the distribution of Y, conditional on X, is n(x, x²) and that the marginal…

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Q: Suppose that X1,..., Xn are i.i.d. Poisson(0) where 0 > O is an unknown parameter. The prior T(0) on…

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Q: For a population with u=60 and o=4, the X value corresponding to z=1 would be

A: The z score formula is, z=X-μσ In the formula X is the random variable, μ is population mean, and σ…

Q: If after performing a t-test for comparison of means (alpha= .05) we obtain p=0.0256, what is our…

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Q: s: 27.14. If all the correlation coefficients of zero order are equal to p. prove that r132 = p/(1+…

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Q: Suppose we know that ê, and ê2 are both unbiased estimators of a population parameter, e, with đô1 >…

A: From the given information we want to know which is true statement.

Q: (3) In one model of the changing population P(t) of a community it is assumed that dP dB dD dt dt dt…

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Q: An experiment was performed with seven hop plants. One half of each was pollinated and the other was…

A: Experiment was performed with seven hop plants : n1 =n2 = 7 Here , both sample are of small size ,…

Q: For a population with u = 50 and o = 10, a score of X - 55corresponds to z = +0.50. %3D O True O…

A: Consider that the mean and standard deviation of a random variable X are µ and σ, respectively.…

Q: An anthropologist wants to collect data to determine whether the two different cultural groups that…

A: Given: Group A: n=120 X¯1=62.7S1=2.5 Group B: n=150. X¯2=61.8S2=2.62

Q: 10. Let X1,..., X„ be an iid sample from f(x | 0) = 0x°-1, positive. Find the MLE and MOM estimators…

A: Computing mle of Ѳ:The mle estimate of a parameter is that value of the parameter which maximizes…

Q: in c nurmal disribution X= S and Z= -1.23 thờ tlis Yon that X-5 the mean Stardard devictens to The

A: It is given that X = 5 and z = -1.23.

Q: Let X1, ... , Xn be an iid Ber(0 ) with L(0) = 02는1 차 X %3D (1 – 0)n-L-1 *i Then a sufficient…

A: Introduction :-  We have to find out the sufficient estimator for parameter. From given function we…

Q: - Let I = 1.135013 be the sample mean of an iid sample r1,..., x50 from a gamma population Gamma(1,…

A: Given that the sample mean of an i.i.d random sample x1, x2, ..., x50 from a gamma population Gamma…

Q: Let {Xi} from i to n be IID from Bernoulli(p). Find the MQ estimator of p.

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Q: For a population with = 50 and  = 8,         a. Find the z-scores that correspond to each of the…

A: Given data,Mean μ=50sd σ=8

Q: 2. For a population with u = 40 and o = 5, compute the z-score corresponding to each of the…

A: A Z-score is a numerical measurement that describes a value's relationship to the mean of a group of…