Download 5-4 Assignment (Central Limit Theorem) In Exercises 1

Survey
yes no Was this document useful for you?
   Thank you for your participation!

* Your assessment is very important for improving the workof artificial intelligence, which forms the content of this project

page
1
page
2
page
3
Document related concepts
no text concepts found
Transcript 
5-4 Assignment (Central Limit Theorem)
In Exercises 1-3, use the Central Limit Theorem to find the mean and standard error of the mean of the
indicated sampling distribution. Then sketch a graph of the sampling distribution.
1. The amounts of time employees at a large corporation work each day are normally distributed,
with a mean of 7.6 hours and a standard deviation of 0.35 hour. Random samples of size 12 are
drawn from the population and the mean of each sample is determined.
2. The mean age of employees at a large corporation is 47.2 years with a standard deviation of 3.6
years. Random samples of size 36 are drawn from this population and the mean of each sample
is determined.
3. The numbers of eggs female house flies lay during their lifetimes are normally distributed, with a
mean of 800 eggs and a standard deviation of 100 eggs. Random samples of size 15 are drawn
from this population and the mean of each sample is determined.
In Exercises 4–7, find the probabilities and interpret the results.
4. The population mean annual salary for environmental compliance specialists is about $63,500. A
random sample of 35 specialists is drawn from this population. What is the probability that the
mean salary of the sample is less than $60,000? Assume σ = $6100.
5. The population mean annual salary for flight attendants is $56,275. A random sample of 48
flight attendants is selected from this population. What is the probability that the mean annual
salary of the sample is less than $56,100? Assume σ = $1800.
6. The mean height of women in the United States (ages 20–29) is 64.3 inches. A random sample of
60 women in this age group is selected. What is the probability that the mean height for the
sample is greater than 66 inches? Assume σ = 2.6 inches.
7. During a certain week the mean price of gasoline in the New England region was $2.714 per
gallon. A random sample of 32 gas stations is drawn from this population. What is the
probability that the mean price for the sample was between $2.695 and $2.725 that week?
Assume σ = $0.045
Related documents