True or false The sampling distribution of the sample mean is approximately normal even when the distribution of the population is not normal when the sample size is greater than 30.

Q: Suppose a variable x has population mean µ = 38.23 and standard deviation o = 2.78. Determine the…

A: The formula of the standard error is,

Q: The sample means tend to be normally distributed around the true mean. That is, most sample means…

A:

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: When the sample size is over 30, when would the t test be used instead of normal distribution?

A: A t test will be used, when the population standard deviation is unknown and either the population…

Q: The distribution of the sample means will also be uniform

A: Here given Suppose you take large repeated samples of a variable X (which is uniformly distributed).

Q: rue of False? As the sample size of randomly selected samples increases, the distribution of the…

A: The statement is given.

Q: True or false The mean and variance of a Poisson distribution are same

A: Poisson distribution X~Poisson(λ)

Q: What are other sampling distributions for mean?

A: Sampling distributions : The probability distribution of a given statistic based on a random sample.…

Q: Probability plot is used to check the normality of sample data and that if it adequately describes…

A: The given statement is 'Probability plot is used to check the normality of sample data and that if…

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: A. we need to account for the degrees of freedom B. it's easier than the Z interval approach C.…

A: T interval is used as alternative method for estimating the interval for sample mean.

Q: Problem. For a standard normal distribution, find the percentage of data that are more than 2…

A: To find the given percentage.The standard Normal distribution is given below. It has mean is 0 and…

Q: The director of research and development testing and new drugs she wants to know if there's evidence…

A: Test statistic:Denote μ as the claimed mean; μ = 384. In a random sample of n = 79, the sample mean…

Q: What is the benefit of modeling a random variable with a normal distribution

A: Here we have to give the reason for the benefit of modeling a random variable with a normal…

Q: any normal distribution, a z-score of z = -1 separates the highest 68% of the scores from the rest…

A: Given that  A z-score of z = -1 separates the highest 68% of the scores from the rest of the…

Q: Question 1--For a normal distribution: A) Which z-score separates the highest 25% of the…

A: Since you have posted a question with multiple sub parts, we will provide the solution only to the…

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

A:

Q: State two of the main reasons for studying the normal distribution.

A: The two main reasons for studying the normal distribution are as follows:The normal distribution is…

Q: 10. Assume the population variance of a random variable is known, but the population mean is not.…

A: Here Given  Population Variance is known but sample mean is not known

Q: please quickly i just need answer not process 4. .For a sample size of n=10, the sampling…

A:

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: You cannot assume that a random sample taken from a population  follows a normal distribution if the…

A: Answer:- Normal distribution:-

Q: When we standardize using​ Z-scores, the shape of the distribution changes.   True…

A: Changing the values in z-scores does not change the shape of distribution. Clearly if values are…

Q: Answer all the questions. Determine if the following statements are TRUE or FALSE. If False, write…

A: Normal distribution is a continuous distribution which has many real life applications. Normal curve…

Q: If a sample is randomly collected, we can be assured that the data follows a normal distribution.…

A: We know that ;  Any randomly collected data follows normal distribution if and only if data set must…

Q: Explain when a random variable might be modelled using a Normal distribution, and give an example of…

A: Mathematically, Whenever a random variable is formed by adding a number of other individual…

Q: In a normal distribution, as the sample size increases, so does the graphʹs symmetry true or false?

A: We know that  In a normal distribution mean median and mode are equal.  X~N( μ , ?^2 )

Q: For a normal distribution of negative Z score means tha

A: Z-score value is negative.

Q: Describe the sampling distribution of the difference between two sample means when large samples are…

A: Sampling Distribution: The sampling distribution of the difference between Two mean shows The…

Q: For a normal distribution, the mean is equal to the median. True False

A: The Normal distribution is Symmetric distribution. So,  Mean = Median = Mode.

Q: How does the sample size affect how close to normal a distribution of either sample means or sample…

A: The statistic measures the characteristics of samples to estimate the population.

Q: what the requirements are to assume that the sampling distribution of sample means does have a…

A: The objective of this question is to understand the conditions under which we can assume that the…

Q: True or False 1. The sum of the probabilities of all values of the random variable must be equal to…

A:

Q: The spread or variation in the sampling distribution of means is called the                 of the…

A: Spread or variation in the sampling distribution of means is given.

Q: II. Consider the data from two samples displayed in the two histograms: Sample A Sample B 30 30 25…

A:

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.