1. ## Statistics

Assume that the population of heights of male college students is approximately normally distributed with mean m of 68 inches and standard deviation s of 3.75 inches. A random sample of 16 heights is obtained.
1. Describe the distribution of x, height of the college student.
2. Find the proportion of male college students whose height is greater than 70 inches.
3. Describe the distribution of , the mean of samples of size 16.
4. Find the mean and standard error of the distribution.
5. Find P ( > 70)
6. Find P ( < 67)

2. Originally Posted by maggie787
Assume that the population of heights of male college students is approximately normally distributed with mean m of 68 inches and standard deviation s of 3.75 inches. A random sample of 16 heights is obtained.
1. Describe the distribution of x, height of the college student. Mr F says: Doesn't the question actually contain the answer to this ....?
2. Find the proportion of male college students whose height is greater than 70 inches. Mr F says: Find Pr(X > 70). Without knowing how you've been taught to find such probabilities, nothing more can be said.
3. Describe the distribution of , the mean of samples of size 16. Mr F says: Read this: Sampling Distribution
4. Find the mean and standard error of the distribution. Mr F says: Read the link given above.
5. Find P ( > 70) Mr F says: Do you mean Pr(Sample mean > 70)? If so, use the answers to 3. and 4. above to calculate it.
6. Find P ( < 67) Mr F says: Do you mean Pr(Sample mean < 67)? If so, use the answers to 3. and 4. above to calculate it.
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