# statistics

posted by .

Suppose that the height of male students at a large university is normally distributed with a mean of 69 inches and a standard deviation of 3.0 inches. If 16 samples consisting of 25 students each are obtained, what is the probability that the mean of these 16 samples is between 68 and 70 inches?

• statistics -

Z = (mean1 - mean2)/standard error of the mean (SEm)

SEm = SD/√n(in each sample)

Find table in the back of your statistics text labeled something like "areas under normal distribution" to find the proportions related to these Z scores.

• statistics -

0.818

## Similar Questions

1. ### statistics

Assume that the population of heights of male college students is approximately normally distributed with mean m of 70.63 inches and standard deviation s of 6.47 inches. A random sample of 88 heights is obtained. Show all work. (A) …
2. ### Statistics

The heights of the students in a statistics class are approximately normal with mean 68 inches and a standard deviation of 2.75 inches. Suppose that the heights of the 15 male students in the statistics class are also approximately …
3. ### Statistics

The heights of male students in a given university are normally distributed, with a mean of 70 inches and a standard deviation of .5 inches. Find the height (x value) that corresponds to the z value of -1.33.

Assume that the population of heights of male college students is approximately normally distributed with mean  of 69 inches and standard deviation  of 3.75 inches. Show all work. (A) Find the proportion of male college …
5. ### MATH

Assume that the population of heights of male college students is approximately normally distributed with mean of 72.83 inches and standard deviation of 6.86 inches. A random sample of 93 heights is obtained. Show all work. (A) Find …
6. ### statistics

Help me! Population of heights of college students is approximately normally distributed with a mean of 64.37 inches and standard deviation of 6.26 inches A random sample of 74 heights is obtained. Find the mean and standard error …
7. ### statistics

Assume that the population of heights of female college students is approximately normally distributed with mean m of 66 inches and standard deviation s of 4.00 inches. Show all work. (A) Find the proportion of female college students …
8. ### statistics

The height of an adult male is known to be normally distributed with a mean of 69 inches and a standard deviation of 2.5 inches. The height of the doorway is 74 inches. What proportion of adult males will not fit under the door?