Central Limit Theorem

Question

Which of the following is the Central Limit Theorem? 

For a symmetric distribution, the measure of central tendency can be either the mean, median, or mode. 

The sample mean taken from a Normal population is Normal. 

Items in a random sample are independent. 

For large samples, the sample mean is approximately Normal, regardless of the shape of the parent population. 

The mean of the sample means is the population mean. 

Question

When we check the conditions for the sample proportion to be normal, one of the things we check is the success/failure condition. What does this say? 

The number of success and the number of failures must each exceed 10. 

The number of success and the number of failures must add to 10. 

The number of success OR the number of failures must exceed 10. 

The number of success and the number of failures don’t matter providing we have a sample of at least 30. 

The number of success (np) must be below 10.

Question

Is the following statement true or is it false? “A CI is wider if we take a larger sample OR if we take a larger % confidence”

True.

False.

Question

Which of the following would indicate a regression is a poor fit?

A high standard deviation of Y.

A positive slope.

A correlation close to -1.

A high value of R2.

A high standard error of estimate