**Question**

Given the plot of

normal distributions A and B below, which of the following statements is true? Select

all correct answers.

A curve labeled A rises shallowly to a maximum

and then falls shallowly. A curve labeled B rises steeply to a maximum and then

falls steeply.

A has the larger

mean.

B has the larger

mean.

The means of A and B are equal.

A has the larger

standard deviation.

B has the larger

standard deviation.

The standard

deviations of A and B are equal.

William averages 58 words per minute on a typing test with a

standard deviation of 10.5 words per

minute. Suppose William’s words per minute on a typing test are normally

distributed. Let X= the number of

words per minute on a typing test. Then X∼N(58,10.5).

If necessary, round to three decimal places.

Suppose William types

85 words per minute in a typing test on Thursday. The z-score when x=85

is . The mean is .

This z-score tells you

that x=85 is standard deviations to the **right** of the

mean.