In order to estimate the mean amount of time computer users spend on the interne

Question

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 95% confident that your sample mean is within 10 minutes of the population mean? Assume that the standard deviation of the population of monthly time spent on the internet is 202 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 nothing computer users.

Explanation / Answer

Suppose a sample of size n must be drawn in order find a 95% Confidence Interval with a max error of Estimate E=10 for the mean amount of time spend on Internet ( ) .


=> E = 10, where E = margin of error,
s.d. = = 202
s.e. = / n = 202 / n
Z = 1.96 at 95% confidence.
also, E = s.e.× Z = 10
=> 202 × 1.96 / n = 10
=> n = 202 × 1.96 / 10 = 39.592
=> n = 1568 (approx.)

Ans: the Sample size necessary is 1568.

Related Questions

Navigate

• Browse (All)
• Browse I
• Subjects

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.