SOLUTION: Random sample of size 100 has a standard deviation of 5.What can be said about maximum error with 95% confidence?

Question 885317: Random sample of size 100 has a standard deviation of 5.What can be said about maximum error with 95% confidence?
Answer by Theo(13342) (Show Source): You can put this solution on YOUR website!
sample size = 100
standard deviation = 5.
standard error = standard deviation divided by square root of sample size.
standard error = 5/sqrt(100) = 5/10 = .5
two sided alpha for two sided confidence limit of 95% is calculated below:
two sided alpha = (100% - 95%) / 200 = 5% / 200 = .025
critical z factor for two sided alpha of .025 is calculated below:
critical z factor = z factor for (1 - .025) = z factor for .975 = 1.96
margin of error = critical z factor * standard error = 1.96 * .5 = .98
confidence interval = mean plus or minus margin of error = mean plus or minus .98
since you don't have a mean, you can't calculate the confidence interval.
your maximum error with 95% confidence level is equal to plus or minus .98 from the mean.

RELATED QUESTIONS
Assuming a standard deviation of 6 hours, what is the required sample size if the error... (answered by stanbon)

A population has a standard deviation of 50. A random sample of 100 items from this... (answered by stanbon)

What sample size is needed to give a margin of error of 5% with a 95% confidence... (answered by stanbon)

a. A random sample of 25 was drawn from a normal distribution... (answered by stanbon)

Hi Any help you can give me on these problems will be greatly appreciated. 1) The... (answered by stanbon)

A random sample of the ages of 63 college students has a mean of 19. The population is... (answered by ewatrrr)

FINDING SAMPLE SIZE. Q1. margin of error:$125, confidence level:95%,standard... (answered by stanbon)

Find the sample size. Margin of error = $125, confidence level = 95%, standard deviation (answered by Boreal)

Determine the necessary sample size for a confidence interval around a sample mean: Set... (answered by Boreal)