# Statistics

posted by .

In the library on a university campus, there is a sign in the elevator that indicates a limit of 16 people. in addition there is a weight limit of 2500 lbs. assume that the average weight of students, faculty, and staff on campus is 150 lbs, that the standard deviation is 27 lbs and that the distribution of weights of individuals on campus is approsimately normal. if a random sample of 16 persons from the campus is to be taken.
a) what is the expected value of the distribution of the sample mean?
b)what si the standard deviation of the sampling distribution of the sample mean weight?
c)what average weights for a s ample of 16 people will result in the total weight exceeding the weight limit of 2500?
d)what is the chance that a random sample of 16 people will excedd the limit.

• Statistics -

1.5

## Similar Questions

1. ### statistics

You asked ten of your classmates about their weight. On the basis of this information, you stated that the average weight of all students in your university or college is 145 pounds . this is an example of?
2. ### statistics

Assume the body weight of healthy fifth graders is normally distributed with a mean of 98.3 lbs and a standard deviation of 4.12 lbs. If you have a body weight of 89.3, what is your percentile score?
3. ### statistics

Based on a random sample of 25 units of lawnmowers, the average weight is 102 lbs., and the sample standard deviation is 10 lbs. We would like to decide if there is enough evidence to establish that the average weight for the population …
4. ### statistics

1. The on-campus housing costs for a semester at a state university are Normally distributed with a mean of \$1553 and a standard deviation of \$329. (a) What is the distribution of the mean on-campus housing cost for a semester at this …
5. ### Stats

In the library on a university campus, there is a sign in the elevator that indicates a limit of 16 persons. Further more, there is a weight limit of 2500 pounds. Assume the average weight of students, faculty and staff on campus is …
6. ### Statistics

In the library on a university campus, there is a sign in the elevator that indicates a limit of 16 people. in addition there is a weight limit of 2500 lbs. assume that the average weight of students, faculty, and staff on campus is …
7. ### statistics

A sign is posted in an elevator stating that the maximum number of people allowed is 25, and that the maximum weight capacity is 4000lbs. Suppose the distribution of the variable Weight (among the population using the elevator) is …
8. ### statistics

Case Study Chapter 6 and 7 FOR FULL CREDIT SHOW EQUATIONS USED AND WORK. ELEVATOR CAPACITY: Suppose an elevator has a maximum capacity of 16 passengers with a total weight of 2500 lbs. The mean weight of females is less than the mean …
9. ### Physics

While in an elevator, you decide to take some weight readings of yourself to determine the elevatorâ€™s acceleration. When the elevator is stopped, you read a weight of 59.2 kg. When the elevator is moving, you measure a maximum weight …
10. ### Statistics

The weight of luggage that a randomly selected airline passenger brings onto a flight has a mean of 35 lbs and a standard deviation of 6 lbs. If a flight has 80 passengers, within what range would the average weight of their luggage …

More Similar Questions