Question

# Describe how the shape and standard deviation of a sampling distribution changes as sample size increases....

Describe how the shape and standard deviation of a sampling distribution changes as sample size increases. In other words, describe the changes that occur to a sampling distribution according to the Central Limit Theorem. Make sure you describe what a sampling distribution is in your answer. Generate pictures/diagrams to illustrate your thoughts if you would like.

#### Earn Coins

Coins can be redeemed for fabulous gifts.

Similar Homework Help Questions
• ### The standard deviation of the sampling distribution of the sample mean is the same as the...

The standard deviation of the sampling distribution of the sample mean is the same as the population standard deviation according to the Central limit Theorem. (Ch8) True False

• ### Question (1) According to the Central Limit theorem, what is the standard deviation of the sampling...

Question (1) According to the Central Limit theorem, what is the standard deviation of the sampling distribution of the sample mean? (02 marks) ► The standard deviation of the population The standard deviation of the sample ► The standard deviation of the population divided by the square root of the sample size. The standard deviation of the sample divided by the square root of the sample size.

• ### A simple random sample of size n 43 is obtained from a population that is skewed...

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...

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...

• ### 31. According to the Central Limit Theorem, for random samples, what is the approximate shape of the sampling distr...

31. According to the Central Limit Theorem, for random samples, what is the approximate shape of the sampling distribution of x-bar when the population distribution is non-Normal? Always the same as the shape of the population O Always Normal, even if the sample size is small Approximately Normal if the sample size is large 32. Choose the probability that best matches the following statement: "This event is very unlikely, but it will occur once in a while in a long...

• ### A simple random sample of size n = 80 is obtained from a population with u...

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...

• ### As the sample size decreases. what happens to the standard deviation of the sampling distribution of...

As the sample size decreases. what happens to the standard deviation of the sampling distribution of p̂? a. It is impossible to tell. b. It increases. c. It decreases. d. It does not change.

• ### A simple random sample of size n=74 is obtained from a population with u=67 and 5...

A simple random sample of size n=74 is obtained from a population with u=67 and 5 = 6. 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 x? Does the population need to be normally distributed for the sampling distribution of x to be approximately normally distributed? Why? A. Yes because the Central Limit Theorem states that the sampling variability of nonnormal populations...

• ### As the sample size n increases, the shape of the distribution of the sample means taken...

As the sample size n increases, the shape of the distribution of the sample means taken with replacement from a population with mean and standard deviation of a will approach a normal distribution. This distribution will have a mean of u and a standard deviation of this statement summarizes the

• ### a simple random sample of size n=72 is obtained from a population with u=82 and o=3....

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...