Consider a discrete population with only the numbers (3,4,5) with probabilities (0.3, 0.3, 0.4). When samples of n=2 are drawn from this population with replacement, sampling distribution of the sample mean will be:

Q: Let X be a random variable with normal distribution with mean 6 and variance 4. Then P(X-6>3.12)-…

A: 1) It is given that, X be a random variable with normal distribution with mean 6 and variance 4 i.e.…

Q: If the random variable Z has a standard normal distribution, then P(1.17≤Z≤2.26) is?

A: Given:   The random variable Z has a standard normal distribution.

Q: Assume you have a population of 26000 people where 3% of the population has some particular disease.…

A: Solution:

Q: Suppose X is a random variable with mean 10 and variance 3. Find the numerical value of P{X < 10-…

A:

Q: If X1, X2, ., Xn is a xrandom sample from a N(H, o) population, write the distribution of (x1-µ)/o)?

A: We e have given that If X1 , X2, X3 ......Xn is a random sample from N(mu, sigma) population then…

Q: In the 2004 election in Utah, 66% of all Utah voters voted for Amendment 3, the marriage amendment.…

A: Where,

Q: . In an independent samples t test, the mean of the sampling distribution of differences between our…

A:

Q: Suppose a simple random sample of size n= 200 is obtained from a population whose size is N=20,000…

A: a) Consider that p is the population proportion and p̂ is the sample proportion, where n is size of…

Q: Consider the following discrete random distribution. x P(x) 0 .15 1 .20 2 .20 3 .25 4 .20 What is…

A:

Q: Consider drawing a random sample of size n = 2 units from a finite population with sampling units…

A: Given information: The investigator is specially interested in drawing a random sample of size n = 2…

Q: sampling

A: Here sampling is without replacement so once a element drawn then not returned

Q: Suppose a random variable X has the Poisson distribution witha = 3.5. Find each of the following.

A: Let X denote the Poisson distribution with parameter (a = 3.5) The probability mass function of X…

Q: Solve for the sample size with the assumption that the confidence coefficient is 95% and second, the…

A: From the above information,  Population size is  N= 205+220+180+165  N=770

Q: In a fishing logde brochure, the lodge advertises that 75% of its guest catch northern pike over 20…

A: The provided information are:

Q: A random sample is biased if the observations were conducted independently and at random. True False

A: We know that biased sample is a sample in which all individuals or units not equally likely to have…

Q: Assume simple random sampling. Calculate the confidence interval for the population proportion, P,…

A: Given : a. N = 1058 n = 160 x = 40 b. N = 854 n = 81 x = 50

Q: (d) If a random variate has a Poisson distribution such that P(2) = P(3), determine P(5).

A: Solution:

Q: A random sample of 50 is taken from a population with the following distribution: Pr (Y) 0.4 0.6 Y…

A:

Q: Assume a random variable XX follows a Poisson distribution with a mean = 1.1. Find P(X=4)P(X=4).…

A:

Q: Suppose a simple random sample of size n = 150 is obtained from a population whose size is N =…

A: The conditions for sampling distribution of sample proportion to be Normal distribution,are as…

Q: able Z follows a standard distribution, find p(-1.2<Z<1.2)

A: USe standard nomla table to find the rporbabiloities corresponding to the given z values.

Q: Suppose 10% of the tubes produced by a machine are defective. If a sample of 100 tubes is inspected…

A: (a)   Obtain the expected proportion of defectives in the sample.   The expected proportion of…

Q: Suppose a population consists of the scores of 5 students in a certain examination, as follows: 8,…

A: If 2 observations are used for making a sampling distribution of sample mean from 5 population…

Q: Suppose a simple random sample of size n= 36 is obtained from a population that is skewed right…

A: Hey there! Thank you for posting the question. Since your question has more than 3 parts, we are…

Q: Suppose you have a chi-square random variable, Y, with 20 degrees of freedom. What is the smallest…

A: Solution: Let Y be the chi-square random variable with 10 degrees of freedom

Q: For the random variable Z follows a standard distribution, find P(-1.2<Z <2.1)

A: Given data: For the random variable Z follows a standard distribution, To find ; P(-1.2&lt;Z&lt;2.1)

Q: Consider drawing a random sample of size n = 2 units from a finite population with sampling units…

A: Given information: The investigator is specially interested in drawing a random sample of size n = 2…

Q: If X represents a random variable coming from a normal distribution with mean 4 and if P(X > 5.1) =…

A:

Q: a health food store owner determined that 21% of her customers bake their own bread each week l. a…

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

Q: Let X be a normally distributed random variable. Consider the sampling distribution of . Find the…

A: Given info:

Q: Let a random variable X has an exponential distribution with a mean of 10. (a) Compute P(-10-10 or…

A: The mean of the exponential distribution is 10.

Q: Consider a single-sampling plan for which p1=0.02, p2=0.06, n=300, c=1, AQL= 0.03 and LTPD= 0.05.…

A:

Q: A simple random sample of 60 items from a population with o = 9 resulted in a sample mean of 31. If…

A: Given,n=60x¯=31σ=9

Q: For a population with u=80 and o=20, the distribution of sample means based on n=4 will have an…

A: Given,   Mean = 80 Standard deviation = 20 Sample size = 4

Q: The joint distribution of the random variable X and Y is given in the following table:

A: From the total probability condition, ∑x∑yPx,y=1 Consider,…

Q: Suppose that X has a Poisson distribution with a mean of 4. Determine the following probabilities:…

A:

Q: Suppose a simple random sample of size n=125 is obtained from a population whose size is N=10,000…

A:

Q: The random sample X is normally distributed with mean 50 and standard deviation 18. If n=324,…

A: Since, the parent population follows normal distribution, the sampling distribution of the sample…

Q: Suppose a simple random sample of size n= 81 is obtained from a population with u = 76 and o = 9.…

A:

Q: If X represents a random variable coming from a normal distribution with mean 5 and if P(X>6.1)=0.2,…

A: Given: Meanμ=5, P(X&gt;6.1)=0.2

Q: The random sample X is normally distributed with mean 50 and standard deviation 18. If n=324,…

A: Solution: From the given information, X follows normal distribution with a mean µ=50 and a standard…

Q: Consider the patient data in the table below. Suppose that patients are randomly selected with…

A: The number of LWBS patients in hospital 4 is 242 and the total number of patients in hospital 4 is…

Q: Assume that the random variable D follows the Normal distribution. For the sixth and seventh groups,…

A: Consider, the mean and standard deviation values for the given values: Consider, the expected…

Q: Let X1, X2,..., X7 denote a random sample from a population having mean u and variance o.

A: question 2: Consider, VΘ^2=V2X1-X6+X42           =144VX1+VX6+VX4           =144σ2+σ2+σ2…

Q: 4. Let X be a random variable with values 2, 3, 5, and 6. Find the sampling distribution of the mean…

A: here given population 2,3,5 and 6  here sample of size n =2 are selected

Q: Consider the patient data in the table below. Suppose that patients are randomly selected with…

A:

Q: If X does not have a normal distribution, which of the following is true about the shape…

A: This is based on central limit theorem.

Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.