Question

Which of the following about a normal distribution is true?

The sample mean equals the population mean if the sample and the population are both normally distributed

The area under the curve to the right of mean is .50

It is a classical probability distribution where each outcome is equally likely.

The smaller the standard deviation, the flatter the curve will be

Answer 1

b.)

The mean (the perpindicular line down the center of the curve) of the normaldistribution divides the curve in half, so that 50% of the area under the curve is to the right of the mean and 50% is to the left.

The area under the curve to the right of mean is .50 IItis a classical probability distribution where each outcome is equally likely Is true

a.)

The sample mean equals the population mean if the sample and the population are both normally distributed.

It is also true.

c.)

It is a classical probability distribution where each outcome is equally likely.

It is true.

d.)

The smaller the standard deviation, the flatter the curve will be

It is false. A larger standard deviation indicates that the data is spread out around the mean; the normal distribution will be flatter and wider.