Question

You want to estimate the mean time college students spend watching online videos each day. The...

You want to estimate the mean time college students spend watching online videos each day. The estimate must be within 2 minutes of the population mean. Determine the required sample size to construct a 99% confidence interval for the population mean. Assume that the population standard deviation is 4.4 minutes. Leave as an integer.

Math   Statistics-And-Probability   
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Answer #1

Solution :

Given that,

standard deviation =s =   =4.4

Margin of error = E =2

At 99% confidence level the z is,

= 1 - 99%

= 1 - 0.99 = 0.01

/2 = 0.005

Z/2 = 2.576

sample size = n = [Z/2* / E] 2

n = ( 2.576* 4.4 / 2 )2

n =32 rounded

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