SOLUTION: In order to estimate the mean amount of time computer users spend on the internet each​ month, how many computer users must be surveyed in order to be 90​% confident

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Question 1065438: In order to estimate the mean amount of time computer users spend on the internet each​ month, how many computer users must be surveyed in order to be 90​%
confident that your sample mean is within 15 minutes of the population​ mean? Assume that the standard deviation of the population of monthly time spent on the internet is 195 min. What is a major obstacle to getting a good estimate of the population​ mean? Use technology to find the estimated minimum required sample size.
The minimum sample size required is computer users.(Round up to the nearest whole​ number.)
What is a major obstacle to getting a good estimate of the population​ mean?
A.It is difficult to precisely measure the amount of time spent on the​ internet, invalidating some data values.
B.The data does not provide information on what the computer users did while on the internet.
C.There may not be 458 computer users to survey.
D.There are no obstacles to getting a good esitmate of the population mean.

Answer by rothauserc(4718) About Me  (Show Source):
You can put this solution on YOUR website!
we use the following formula for margin of error(ME)
:
ME = z * s / square root(n) where z is the z-score we use to calculate the confidence interval, s is the standard deviation, n is sample size and ME is the desired margin of error
:
we want a 90% confidence interval(CI)
:
alpha(a) = 1 - (90/100) = 0.10
:
critical probability(p*) = 1 - (a/2) = 0.95
:
z-score associated with p* is 1.644853
:
15 = (1.644853) * 195) / square root(n)
:
square root(n) = 320.746335 / 15
:
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n = 457.2365 approximately 457
:
answer is C
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