Question

Use the given information to find the minimum sample size required to estimate an unknown population...

Use the given information to find the minimum sample size required to estimate an unknown population mean μ.

How many students must be randomly selected to estimate the mean weekly earnings of students at one college? We want 95% confidence that the sample mean is within $5 of the population mean, and the population standard deviation is known to be $60.

Homework Answers

Answer #1

Solution :

Given that,

standard deviation = = 60

margin of error = E = 5

At 95% confidence level the z is ,

= 1 - 95% = 1 - 0.95 = 0.05

/ 2 = 0.05 / 2 = 0.025

Z/2 = Z0.025 = 1.960

Sample size = n = ((Z/2 * ) / E)2

= ((1.960 * 60) / 5)2

= 553

Sample size = 553

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
Use the given information to find the minimum sample size required to estimate an unknown population...
Use the given information to find the minimum sample size required to estimate an unknown population mean muμ. How many students must be randomly selected to estimate the mean weekly earnings of students at one​ college? We want​ 95% confidence that the sample mean is within ​$22 of the population​ mean, and the population standard deviation is known to be ​$4343. A. 1 comma 7761,776 B. 2 comma 5102,510 C. 1 comma 5651,565 D. 1 comma 251
Use the given information to find the minimum sample size required to estimate an unknown population...
Use the given information to find the minimum sample size required to estimate an unknown population mean μ. How many women must be randomly selected to estimate the mean weight of women in one age group. We want 90% confidence that the sample mean is within 2.0 lb of the population mean, and the population standard deviation is known to be 27 lb.
Use the given information to find the minimum sample size required to estimate an unknown population...
Use the given information to find the minimum sample size required to estimate an unknown population mean . How many commuters must be randomly selected to estimate the mean driving time of Chicago commuters? We want 98% confidence that the sample mean is within 3 minutes of the population mean, and the population standard deviation is known to be 8 minutes.
Use the given information to find the minimum sample size required to estimate an unknown population...
Use the given information to find the minimum sample size required to estimate an unknown population mean μ. 13) Margin of error: $127, confidence level: 95%, σ = $58
4) To estimate the population proportion of a given survey, what sample size would be required...
4) To estimate the population proportion of a given survey, what sample size would be required if we want a margin of error of 0.045; a confidence level of 95%; and p and q are unknown. 5). How many cars must be randomly selected and tested in order to estimate the mean braking distance of registered cars in the US? We want a 99% confidence that the sample mean is within 2 ft of the population mean, and the population...
Use the given information to find the minimum sample size required to estimate the population proportion....
Use the given information to find the minimum sample size required to estimate the population proportion. Margin of​ error: 0.028; confidence​ level: 99%; p and q unknown
a. What is the minimum sample size required to estimate the overall mean weight of boxes...
a. What is the minimum sample size required to estimate the overall mean weight of boxes of Captain Crisp cereal to within 0.02 ounces with 95% confidence, if the overall (population) standard deviation of the weights is 0.23 ounces? Enter an integer below. You must round up. b. What is the minimum sample size required to estimate the overall proportion of boxes that have less than 16 ounces of cereal to within 5% with 95% confidence, if no guess as...
Use the given data to find the minimum sample size required to estimate the population proportion....
Use the given data to find the minimum sample size required to estimate the population proportion. Margin of error: 0.09; confidence level: 99%; and unknown
Use the given data to find the minimum sample size required to estimate the population proportion....
Use the given data to find the minimum sample size required to estimate the population proportion. Margin of error: 0.04; confidence level: 85% ; ?̂ and ?̂ unknown.
What is the minimum sample size needed to estimate a mean dollar amount of some population...
What is the minimum sample size needed to estimate a mean dollar amount of some population to within $0.50. Assume we want 90% confidence and the population standard deviation is $3?