Question

If the population standard deviation is σ= 5, how large a sample is necessary to have...

If the population standard deviation is σ= 5, how large a sample is necessary to have a standard error that is

a. less than 3 points?

b. less than 2 points?

c. less than 1 point?

Math   Statistics-And-Probability   
0 0
Add a commentTranscribed image text
Next >

Homework Answers

Answer #1

a) For a standard deviation of 5, and standard error value of 3 points, the sample size is obtained here as:

Therefore 3 is the required sample size here.

b) For a standard error of 3, the sample size is obtained here as:

Therefore 7 is the required sample size here.

c) For a standard error of 1, the sample size here is obtained as:

Therefore 25 is the required sample size here.

0 0
Know the answer?
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
Similar Questions
1. For a population with a mean of μ = 55 and a standard deviation of...
1. For a population with a mean of μ = 55 and a standard deviation of σ = 24, what is the standard error of the distribution of sample means for a sample size of n=22? 2. If the population standard deviation is S= 17, how large a sample is necessary to have a standard error that is less than 10 points?
A population has mean μ = 19 and standard deviation σ = 5. A random sample...
A population has mean μ = 19 and standard deviation σ = 5. A random sample of size n = 64 is selected. What is the probability that the sample mean is less than 18?
Question 5 ` If the standard deviation of the population is 15 and the sample size...
Question 5 ` If the standard deviation of the population is 15 and the sample size is 10,000, the standard error will be: 0 .15 .22 .43 1 points Question 6 If you draw a sample of 500, you can be confident that the sampling distribution of means will: Have a mean of 500. Will have a standard error of 50. Will be heavily skewed. Will be a standard normal curve.
The standard IQ test is designed so that the mean is 100 and the standard deviation...
The standard IQ test is designed so that the mean is 100 and the standard deviation is 15 for the population of all adults. We wish to find the sample size necessary to estimate the mean IQ score of all people who have successfully passed a college statistics course. We want to create a confidence interval that is no wider than 8 IQ points. The standard deviation for this sub-population is certainly less than 15 as it should be a...
A random sample of n observations is selected from a population with standard deviation σ =...
A random sample of n observations is selected from a population with standard deviation σ = 1. Calculate the standard error of the mean (SE) for these values of n. (Round your answers to three decimal places.) (a) n = 1 SE = (b) n = 2 SE = (c) n = 4 SE = (d) n = 9 SE = (e) n = 16 SE = (f) n = 25 SE = (g) n = 100 SE =
Consider an x distribution with standard deviation σ = 36. (a) If specifications for a research...
Consider an x distribution with standard deviation σ = 36. (a) If specifications for a research project require the standard error of the corresponding x distribution to be 3, how large does the sample size need to be? n =   (b) If specifications for a research project require the standard error of the corresponding x distribution to be 1, how large does the sample size need to be? n =
Consider an x distribution with standard deviation σ = 18. (a) If specifications for a research...
Consider an x distribution with standard deviation σ = 18. (a) If specifications for a research project require the standard error of the corresponding xbar distribution to be 3, how large does the sample size need to be? n = ________ (b) If specifications for a research project require the standard error of the corresponding xbar distribution to be 1, how large does the sample size need to be? n = _________
If a population is distributed with a mean μ and a standard deviation σ, then the...
If a population is distributed with a mean μ and a standard deviation σ, then the distribution of sample means is distributed A) normally with mean μ and standard deviation σ. B) normally with mean μ and standard deviation σ/√(n). C) with mean μ and standard deviation σ. D) with mean μ and standard deviation σ/√(n).
Suppose we know that the population standard deviation for wages (σ) is $15. A random sample...
Suppose we know that the population standard deviation for wages (σ) is $15. A random sample of n = 900 results in a sample mean wage of $50. (10 points) Provide 95% confidence interval estimate of µ. Interpret the result. What is the value of the margin of error? Provide 90% confidence interval estimate of µ. What is the value of the margin of error? Provide 99% confidence interval estimate of µ. What is the value of the margin of...
Suppose for a certain population we do not know the value of population standard deviation (σ),...
Suppose for a certain population we do not know the value of population standard deviation (σ), and we want to test: H0: μ ≥ 30 against Ha: μ < 30. We are going to perform the test using a sample of size 43. What assumptions do we need about population distribution? A. Since sample size is small, we assume the population is normally distributed. B. Since sample size is sufficiently large, we do not need any assumption about population distribution....
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT