Find the indicated z score. The graph depicts the standard normal distribution with mean 0 and standard deviation 1.

A symmetric bell-shaped curve is plotted over a horizontal scale with two labeled coordinates. One coordinate is labeled "0" and is located at the center and peak of the curve. The other coordinate is labeled "z," and is to the left of 0. A vertical line extends from the scale to the curve at z. The area under the curve to the right of z is shaded and labeled "0.7611."

The indicated z score is

nothing.

The overhead reach distances of adult females are normally distributed with a mean of 205.5 CMand a standard deviation of 8.3.

at. Find the probability that an individual distance is greater than 215.5cm.

b. Find the probability that the mean 15 for randomly selected distances is greater than 204

vs. Why can the normal distribution be used in part (b), even though the sample size does not exceed 30?

at. The probability is nothing. (Round to four decimal places as needed.)

b. The probability is nothing. (Round to four decimal places as needed.)

vs. Choose the correct answer below.

AT.

The normal distribution can be used because the finite population correction factor is small.

B.

The normal distribution can be used because the original population has a normal distribution.

vs.

The normal distribution can be used because the mean is large.

D.

The normal distribution can be used because the probability is less than 0.5