For a sampling distribution to be approximately normally distributed, we need that the underlying population distribution is also approximately normally distributed.
True
False
False
It is not necessary for the population of data to be normally distributed for the sampling distribution to have an approximate normal distribution. If the sample size is high (generally greater than 30), from the Central Limit Theorem the sampling distribution will have an approximately normal distribution even if the population is not normally distributed
For a sampling distribution to be approximately normally distributed, we need that the underlying population distribution...
Suppose that the underlying population is normally distributed. Suppose further that a random sample of 36 observations on a single variable has a sample mean of 4 and a sample standard deviation of 3. That standard error of the sampling distribution is 0.75 2 0.5 1
The central limit theorem states that if the original population is normally distributed and the sample size is large (≥30), then the distribution of x ̅ is also approximately normal. True OR False
For the following, circle true or false and if false, explain why. A) The sampling distribution of sample means is normally distributed when the population has any distribution and the sample size is less than or equal to 30. TRUE or FALSE B) The sampling distribution of sample means is normally distributed when the population is normally distributed and the sample is any size. TRUE or FALSE
Question 23 3 pts Suppose that the underlying population is normally distributed. Suppose further that a random sample of 9 observations on a single variable has a sample mean of 4 and a sample standard deviation of 3. That standard error of the sampling distribution is 1 4 2
A simple random sample of size n 43 is obtained from a population that is skewed left with = 54 and 06. Does the population need to be normally distributed for the sampling distribution of x to be approximately normally distributed? Why? What is the sampling distribution of Does the population need to be normally distributed for the sampling distribution of x to be approximately normally distributed? Why? O A. No. The central limit theorem states that only if the...
A simple random sample of size n=74 is obtained from a population with 82 and 8-6 Does the population need to be normally distributed for the sampling distribution of to be approximately normally distributed? Why? What is the sampling distribution of i? Does the population need to be normally distributed for the sampling distribution of to be approximately normally dibuted? Why? O A. No because the Central Limit Theorem states that only if the shape of the underlying population is...
A simple random sample of size n = 80 is obtained from a population with u = 55 and 6 = 3. Does the population need to be normally distributed for the sampling distribution of X to be approximately normally distributed? Why? What is the sampling distribution of ? Does the population need to be normally distributed for the sampling distribution of x to be approximately normally distributed? Why? O A. No because the Central Limit Theorem states that regardless...
How do we tell whether a population is normally distributed or approximately normal when the population standard deviation is unknown?
a simple random sample of size n=72 is obtained from a population with u=82 and o=3. does the population need to be normallt distibuted for the sampling distribution of x to be approximately normaly distibuted? why? what is the sampling distribution of x? A simple random sample of stren72 is obtained from a population with 12 and a = 3. Does the population need to be normally distributed for the sampling distribution of to be approximately omally distributed? Why? What...
If a population is known to be normally distributed with size 25 selected from the population? 89 and 15, what will be the characteristics of the sampling distribution for x based on a random sample of - 89 (Type an integer or a decimal.) - 3 (Type an integer or a decimal.) Describe the sampling distribution of the sample. Choose the correct answer below O O A. The sampling distribution is skewed right because the population is normally distributed and...