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

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

Homework Answers

Answer #1

Answer: 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 $2 of the population​ mean, and the population standard deviation is known to be $43.

Solution:

At 95%, α = 0.05

Zα/2 = 1.96

Margin of error, E = 2

Population standard deviation, σ = 43

Sample size, n:

n = (Zα/2 * σ / E)2

n = (1.96*43 / 2)2

n = 1775.7796

n = 1,776

The option A. is correct answer

Therefore, 1,776 students must be randomly selected to estimate the mean weekly earnings of students at one​ college.

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 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.
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. 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 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
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.
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: 0.005; confidence level: 96%; p and q 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. 0.018, confidence level: 99%; p and q unknown.
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT