Given the plot of normal distributions A and B below, which of the following statements is true

<span itemprop="name">Given the plot of normal distributions A and B below, which of the following statements is true</span>

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.