according to the central limit theorem the standard error for the distribution of sample means becomes smaller as the sample size decreases?  True or False?

Q: Explain Student t distribution & F distribution?

A: Student t distribution: Shape of a student’s t distribution is bell shaped curve with mean zero and…

Q: Differentiate between bounded and unbounded distribution?

A: Differentiate between bounded and unbounded distribution.

Q: Prove the general formula for interval estimation of ratio of population variance.

A: Statement:-  If x1,x2..... xn ~ N(μx, σx2) and y1, y2 .....ym ~ N(μy , σy2) are independent random…

Q: reasons why the standard error decreases as the sample size increases .

A:

Q: If a distribution is normal, then it is not possible to randomly select a value that is more than 4…

A: Given : We have given normal distribution .

Q: The difference between two sample means follows a normal distribution if both populations follow a…

A: True We can find it by using the Central limit theorem. By the theorem, difference in sample means…

Q: One assumption of the binomial distribution is that our sample size has to be greater than​ 10% of…

A:

Q: Define Sampling Distribution of Difference Between Means?

A: Sampling Distribution: The probability distribution of the sample statistic is called as the…

Q: Determine the parameters of binomial distribution for which the mean is 5 and variance is 3…

A: given data binomial distribution mean = 5variance = 3n=? , p=?

Q: True or False: We should use F distribution as the pivot when estimating the confidence interval for…

A: In order to find the confidence interval for population variance, it is appropriate to use…

Q: Random samples of size 8 are drawn from the population and the mean of each sample is determined. Is…

A: Given data: Random samples of size 8 are drawn from the population and the mean of each sample is…

Q: True/False   the sampling distribution of the mean will have the same mean as the original…

A: As standard deviation of the sampling distribution of the sample mean is σnwhich is not equal to σ

Q: Explain the relationship between sampling distribution and  central limit theorem. Give an example…

A: Central limit theorem states that if there is a population with mean μ and standard deviation σ and…

Q: Of what relevance is the central limit theorem to the sampling distribution of the sample means?

A: Central Limit theorem:

Q: What is the Central Limit Theorem? Motivate with the example of the mean of a sample describing…

A: The CLT stands for Central Limit Theorem. It is a fundamental theorem in statistics that states that…

Q: The Z distribution allows us to account for any additional sampling error related to a small sample…

A: The Z distribution allows us to account for any additional sampling error related to a large sample…

Q: 1)Find out some applications of sampling? 2)Find out some uses of statistical estimation?

A: Given data  :  1)Find out some applications of sampling? 2)Find out some uses of statistical…

Q: A Data has a mean of 50 and a standard deviation of 6. (a) What are the mean and standard deviation…

A: Central Limit Theorem for mean: If a random sample of size N is taken from a population having mean…

Q: Describe a continuous psychological variable and a population you would like to study.  Given your…

A:

Q: Define Sampling distribution of the Two Stage Least Square estimator?

A: Regression analysis of two-stage least squares (2SLS) is a statistical technique used in the…

Q: sample size n o

A: The central limit theorem states that the sampling distribution of the mean approaches a normal…

Q: True or False: If the population distribution given is normally distributed, then the sampling…

A: The Central Limit theorem suggests that if the original population is normally distributed, then the…

Q: A type I error occurs when the null hypothesis is incorrectly rejected when it is true the sample…

A: In case of a statistical test, when the result of the test partially favors a certain group, then…

Q: True or false Ć Stochastic approximation is the same as sample average approximation.

A: To Explain : Stochastic approximation is the same as sample average approximation is it true or…

Q: When can we apply chi-square distribution?

A:

Q: What are the functions of sampling distribution?

A: A sampling distribution is a distribution of the likelihood of a statistic derived from a greater…

Q: A parametrical statistical test is one that makes assumptions about the parameters that define the…

A: here use basic definition of parametric statistical test  parametric test evaluate hypothesis test…

Q: True of False? The distribution of the sample mean, x , will be normally distributed if the sample…

A:

Q: If you calculate the sample covariance between two variables X and Y equals one, then there must be…

A:

Q: To conduct a hypothesis test comparing two population variances, both pop must be normally…

A: Assumptions for two sample variance test: Two populations should be normally distributed. Two…

Q: homogeneity of variance assumption states that---?  the groups have approximately equal variance…

A: We want to tell you which one is the correct choice.

Q: What is the shape of the sampling distribution of p1 - p2 when the data are obtained as large simple…

A: the shape of the sampling distribution of p1^−p2^ when the data are obtained as large simple random…

Q: Why is the Central Limit Theorem important to understand as a concept  in sample means distributions

A: Central limit theorem: If a random sample of size n is taken from a population having mean µ and…

Q: How do we know if a null distribution is normal? Does it have to explicitly say that the population…

A: Points on the sampling distribution of the sample mean: If the true population distribution of a…

Q: Explain the normal distribution, the Z-score, and the central limit theorem.

A:

Q: The right statistical test to use when testing for the mean of two dependent populations is the…

A: We have to find out the statement is true or false..

Q: A sample of 28 students will be normally distributed if taken from a normal population. TRUE OR…

A: Statements are given.

Q: How can the normal distribution be used to test hypothesis about populations? Also, how might you…

A: To test a hypothesis such as caffeine improves memory in the caffeine study: In this case, two…

Q: The distribution of the variance (Chi-Square distribution) becomes more like a normal distribution…

A:

Q: What is the relationship between the population mean and the mean of the distribution of sample…

A: Mean is the avg. of the given numbers.