Question 1

The normal distribution is bell shaped, unimodal, symmetric, and continuous. The mean, median, and mode are equal.

options:

True or False

Question 2

The standard normal distribution is a normal distribution with a mean of 0 and a standard deviation of 15

options:

True or False

Question 3

The normal distribution can be used to approximate the binomial distribution. In order to use the normal approximation, np and nq must be greater than or equal to 5. A correction for continuity must also be used.

options:

True or False

Question 4

When using the central limit theorem it is important to note two things:

When the original variable is normally distributed, the distribution of sample means will be normally distributed, regardless of sample size n.

As n gets larger, the distribution of sample means will closely approximate a normal distribution. With n > 30 the distribution is almost perfectly normal regardless of the shape of the original distribution. options:

True or False

Question 5

If all possible random samples of a specific size n are taken from a population with mean m and standard deviation s, then the sampling distribution of sample means will have the following properties:

The mean of the sample means will be the same as the population mean.The standard deviation of the sample means will be smaller than the standard deviation of the population. It will be equal to the population standard deviation divided by the square root of the sample size. The standard deviation of the sample means is called the standard error of the mean.

The distribution of the sample means is approximately normal in shape.

options:

True or False