Find the best critical region for testing H :1 = 2, 0. H:1 = 3 based on the sample drawn from a Poisson 1 distribution.

Q: If the random variable X has an exponential distribution with rate parameter = 12.21 then, given…

A: We know that, Var(X2)= E(X4)-(E(X2))2 Given that X~exp(12.21) So E(X)=1/lembda 1/12.21 And…

Q: The population standard deviation is known, the α=0.10 in a two tailed test The critical value for…

A: We have to find out critical value for rejection region..

Q: A random sample of data has a mean of 75 and a variance of 25.a. Use Chebyshev’s theorem to…

A: Chebyshev's theorem and empirical rule are used to calculate the percentages of data lies within…

Q: Find the t values that form the boundaries of the critical region for a two-tailed test with α =…

A: The sample sizes are 10 and 12.

Q: Let X be a single observation from the Beta (θ,1) population, Let Y = - 1/ln(x). Compute for the…

A: Given: X~Beta (θ,1)Y = - 1/ln(x)Confidence coefficient of the CI (Y/2,Y) for θ=?

Q: The population standard deviation is known, the α=0.01 in a left tailed test The critical value for…

A: We have to find out critical value..

Q: Determine the critical value zα/2zα/2 that corresponds to a 96% level of confidence.

A: The critical value is a point that compares with the test statistic to determine whether or not to…

Q: a) What is the marginal distribution of Z2.

A: Here use given joint distribution function of z1 and z2

Q: A large number of observations on a given solution which contained bacteria were made taking samples…

A:

Q: We have a t distribution with 13 degrees of freedom. what is the critical value for a one tail area…

A: Given,  degree of freedom =13 alpha =0.050

Q: A research center claims that more than 27​% of employees in a certain country have changed jobs in…

A:

Q: If the alpha level is changed from α = .05 to α = .01, a. What happens to the boundaries for the…

A: We have given that alpha level is changed from α = 0.05 to α = 0.01.

Q: b. Assuming that mpg is normally distributed, calculate the value of the test statistic. (Round…

A:

Q: What is the critical value? What is the p-value?

A: T test are used to measure the mean significance between the sample and population. It used when the…

Q: The lifetime X (in hundreds of hours) of a certain type of battery has a Weibull Distribution with…

A:

Q: A sample of manufactured items will be selected from a large population in which 8 percent of the…

A: Solution: The sampling distribution of the sample proportion to be assumed approximately normal when…

Q: Q1. The sample X = (X,, X2, --, X,) drawn from a Gamma distributed population with parameters a =…

A: Note : Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the…

Q: Assume that Y denotes the number of bacteria per cubic centimeter in a particular liquid a that Y…

A: Hello! As you have posted 2 different questions, we are answering the first question (3.3). In case…

Q: Define the alpha level and the critical region for a hypothesis test.

A: Statistical hypotheses testing: A hypothesis testing is used to make inferences about the population…

Q: Define the alpha level and the critical region, and explain how they are related.

A: Alpha : The chance of rejecting the null hypothesis when it is true is known as the significance…

Q: The test statistic is t = ___. Critical value(s) is _____.

A:

Q: A state-by-state survey found that the proportions of adults who are smokers in state A and state B…

A:

Q: Let X1,..., X, be a random sample from a uniform distribution on the interval [-0, 0]. a. Determine…

A: It is an important part of statistics. It is widely used.

Q: 7 When one is conducting the t test, the population must be approximately normally distributed. True…

A: Here use basic definition of critical region and  Some basic information about t test

Q: If Y1, Y2, ...,Yn denote a random sample from the normal distribution with mean u and variance o2,…

A: Y1, Y2, Y3,....,Ynare the sample of the normal distribution. The mean of the data is μ. The standard…

Q: Define the alpha level ad the critical region for a hypothsis test.

A: The alpha level also called as the significance level is the probability of rejecting the null…

Q: Find the best critical region for testing H, :1= 2 ~ H, : 2 = 3 based on the sample drawn from a…

A: ANSWER: From the given data,

Q: (b) Find the critical value(s) assuming that the population variances are not equal.

A: (b)  Degrees of freedom = min(n1-1, n2-1) = min(12-1, 10-1) = 9

Q: If the variance of a continuous random variable X with pdf f(x) is noted as V(X), what is its…

A: Given: X had pdf f(x) and Variance of random variable X is - V(X)

Q: Find the critical value xổ.05 for a chi-square distribution with 10 degrees of freedom.

A: Given data, df=10 alpha=0.05 =?

Q: If Y1,...,Yn denote a random sample of sizenfrom the normal distribution with known mean μ and…

A: If Y1, Y2, Y3,...…,Yn denote a random sample of size n from the normal distribution  here, mean μ =…

Q: Let X1, X2,.. , X, be a random sample from a normal distribution with mean 0 and variance 4, let Y1,…

A:

Q: If x has a normal distribution with mean u=15 and standard deviation o=3, describe the distributin…

A: Given information, μ=15σ=3 Given sample sizes, n=4, n=16, n=100. The sampling distribution for n=4:…

Q: If the alpha level is changed from a = .OS to a = .01 What happens to the boundaries for the…

A: Given: alpha level changed from 0.05 to 0.01

Q: Find the t values that form the boundaries of the critical region for a two-tailed test with α =…

A: The degree of freedom is, df =n-1     =12-1     =11 The type of test is two tailed test

Q: If the alpha level changed from a=0.05 to a=0.01, what happens to the critical region and ehat…

A: Introduction: In a hypothesis testing problem, a Type I error occurs when the test rejects the null…

Q: Suppose we want to test a hypothesis H,:A=2 vs H :2 =6 by using a random sample of size 30 from a…

A: Given: H0: λ=2 vs H1: λ=6n=30α=0.05

Q: Suppose that x has a beta distribution with parameters a = 2.4 and B = 1. Determine to 4 decimal…

A: Any real valued function defined from sample space corresponding to the probability is known as…

Q: In a survey of 470 drivers from the​ South, 404 wear a seat belt. In a survey of 360 drivers from…

A: Solution-: Let, p1 and p2 be proportion of drivers from the South and drivers from the Northeast…

Q: With α = .01, the two-tailed critical region for a t test using a sample of n = 16 subjects would…

A: From the given information, the number of sample observations is n=16.The degree of freedom is, n –…

Q: Let X1,., X, be iid from Normal(e,0) population (0>0). Use the pivotal quantity to find (1-a)…

A:

Q: Let X1,X2, ...,Xn be a random sample drawn from a N (µ, o2) distribution, where known and o2 is…

A: Introduction: An estimator is said to be a consistent estimator for a parameter, if it converges in…

Q: Find the t values that form the boundaries of the critical region for a two-tailed test with α =…

A: Answer -  Find the t values that form the boundaries of the critical region                 for a…

Q: The number of oil tankers arriving at a port between successive high tides has a Poisson…

A: let X be an r.v which indicate the number of oil tanker arriving at the port between successive high…

Q: hat is the type I error probability if the critical region is defined as x < 11.5 kilograms?

A:

Q: Let X1, ..., Xn be a sample from a geometric random variable with parameter p. (a) Find the maximum…

A: GivenX1, X2, X3,...Xn be a sample from geometric random variable with parameter p.The probability…

Q: he generalised three-parameter beta distribution with pdf 121?x (1 – x) 0 <x [1- (1 – 2) x]** fx (x)…

A: