5). Assume that the heights of men are normally distributed with a mean of 69.8 inches and a standard deviation of 2.8 inches. If 64 men are randomly selected, find the probability that they have a mean height greater than 70.8 inches.

6). Suppose a population has a mean weight of 180 pounds and a standard deviation of 25 pounds, A sample of 100 items is drawn from this population. What is the standard error of the mean?

7) A farmer was interest in determining how many grasshoppers were in his field. He knows that the distribution of grasshoppers may not be normally distributed in his field due to growing conditions. As he drives his tractor down each row, he counts how many grasshoppers he sees flying away. After several rows he figures the mean number of flights to be 57 with a standard deviation of 12. What is the probability of the farmer will count 52 or fewer flights on average in the next 40 rows down which he drives his tractor?

8) The owner of a computer repair shop has determined that their daily revenue has mean $7200 and standard deviation $1200. The daily revenue totals for the next 30 days will be monitored. What is the probability that the mean daily revenue for the next 30 day will exceed $7500?

9) A professor Whata Guy surveyed a random sample 420 statistics students. One of the questions was "Will you take another mathematics class?" The results showed that 252 of the students said yes. The results showed that 252 of the students said yes, what is the sample proportion, ^p of students who say they will take another math class?