ZuoTi.Pro
Question

You are interested in estimating the the mean age of the citizens living in your community....

You are interested in estimating the the mean age of the citizens living in your community. In order to do this, you plan on constructing a confidence interval; however, you are not sure how many citizens should be included in the sample. If you want your sample estimate to be within 5 years of the actual mean with a confidence level of 94%, how many citizens should be included in your sample? Assume that the standard deviation of the ages of all the citizens in this community is 25 years.

Sample Size: ______

math   Statistics-And-Probability   
0 0
Add a comment Improve this question Transcribed image text
Next > < Previous
Sort answers by oldest

Homework Answers

Answer #1

Ans:

Margin of error=5

confidence level=0.94

So,z=1.88

standard deviation=25

Sample size,n=(1.88*25/5)^2=88.36

0 0
Add a comment
Know the answer?
Add Answer to:
You are interested in estimating the the mean age of the citizens living in your community....
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Log In

Sign Up

Not the answer you're looking for? Ask your own homework help question. Our experts will answer your question WITHIN MINUTES for Free.
Similar Homework Help Questions

  • Questions Grade: 0.9/3 Print Version You are interested in estimating the the mean age of the...

    Questions Grade: 0.9/3 Print Version You are interested in estimating the the mean age of the citizens living in your community. In order to do this, you plan on constructing a confidence interval; however, you are not sure how many citizens should be included in the sample. If you want your sample estimate to be within 4 years of the actual mean with a confidence level of 98%. how many citizens should be included in your sample? Assume that the...

  • THIS Quiz: 16 pts possible A decision maker is interested in estimating the mean of a...

    THIS Quiz: 16 pts possible A decision maker is interested in estimating the mean of a population based on a random sample. She wants the confidence level to be 99% and the margin of error to be 0.30. She does not know what the population standard deviation is, so she has selected the pilot sample below. Based on this pilot sample, how many more items must be sampled so that the decision maker can make the desired confidence interval estimate?...

  • A researcher is interested in estimating the mean cholesterol level in men. Based on a simple...

    A researcher is interested in estimating the mean cholesterol level in men. Based on a simple random sample of 54​ men, the​ 95% confidence interval for the population mean​ μ was 189.9​ < μ​ < 210.1 A. If 100 different samples of size 54 are​ selected, and based on each​ sample, a confidence interval was​ constructed, exactly 95 of these confidence intervals would contain the true value of​ μ. B. If many different samples of size 54 are selected​ and,...

  • You are interested in estimating the proportion of students at OSU who plan to study abroad.  ...

    You are interested in estimating the proportion of students at OSU who plan to study abroad.   You construct a 95% confidence interval based on a survey of a random sample of 125 students, and the interval ends up being from 0.109 to 0.243.   If you had instead constructed a 99% confidence interval based on the same sample of data, rather than a 95% confidence interval, how would the center of the interval change? A More information is needed in order...

  • An admissions director wants to estimate the mean age of all students enrolled at a college....

    An admissions director wants to estimate the mean age of all students enrolled at a college. The estimate must be within 1.7 years of the population mean. Assume the population of ages is normally distributed. ​(a) Determine the minimum sample size required to construct a 90% confidence interval for the population mean. Assume the population standard deviation is 1.8 years. ​(b) The sample mean is 20 years of age. Using the minimum sample size with a 90% level of​ confidence,...

  • Suppose that a researcher is interested in estimating the population mean (Miu_X) of a population with...

    Suppose that a researcher is interested in estimating the population mean (Miu_X) of a population with the sample average estimator, X_bar. The population has a population standard deviation of Sigma_X. The question that the research has is: “How large should my sample size be?” You help her out and tell her the following: “Your sample size (n) should be such that there is a 95% chance that the X_bar will be within +/-10% away from the Miu_X.” Based on this...

  • 6. An airline is interested in estimating the mean number of unoccupied seats per flight over...

    6. An airline is interested in estimating the mean number of unoccupied seats per flight over the past year. They randomly select 250 flights and count the number of unoccupied seats per flight. The sample mean is 12.2 seats with a sample standard deviation of 3.5 seats. Based on previous studies they know that the population standard deviation is 3.6 seats. (a) Find each of the following quantities. • i= .0= s = n= (b) Use the following steps to...

  • An admissions director wants to estimate the mean age of all students enrolled at a college....

    An admissions director wants to estimate the mean age of all students enrolled at a college. The estimate must be within 1.5 years of the population mean. Assume the population of ages is normally distributed. (a) Determine the minimum sample size required to construct a 90% confidence interval for the population mean. Assume the population standard deviation is 1.6 years. (b) The sample mean is 20 years of age. Using the minimum sample size with a 90% level of confidence,...

  • 16. A researcher is interested in estimating the mean weight of ten-year old children. Based on...

    16. A researcher is interested in estimating the mean weight of ten-year old children. Based on a simple random sample of 92 ten year olds, the 90% confidence interval for the population mean was 94.4 < μ < 99.6 pounds. Which of the statements below is the best interpretation of this confidence interval? a. There is a 90% chance that the true value of μ will fall between 944 and 996. b. If many different samples of size 92 were...

  • Students in an introductory statistics class were asked to report the age of their mothers when...

    Students in an introductory statistics class were asked to report the age of their mothers when they were born. Summary statistics include Sample size: 28 students Sample mean: 29.643 years Sample standard deviation: 4.564 years a. Calculate the standard error of this sample mean. b. Determine and interpret a 90% confidence interval for the mother’s mean age (at student’s birth) in the population of all students at this university. c. How would a 99% confidence interval compare to the 90%...

ADVERTISEMENT
Free Homework Help App
Download From Google Play
Scan Your Homework
to Get Instant Free Answers
Need Online Homework Help?
Ask a Question
Get Answers For Free
Most questions answered within 3 hours.
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT