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An e-marketing consultant is hired to determine how long customers spend, on average, on a company's...

An e-marketing consultant is hired to determine how long customers spend, on average, on a company's website. If the standard deviation is known from previous studies to be approximately 4.6 minutes, determine the number of customers that needs to be sampled in order to determine the mean length of time spent on the company's website, accurate to within a margin of error of 0.6 minutes, at the 2% level of significance.

Number of Customers = 0 Round up to the next whole number

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Answer #1

Given that, population standard deviation = 4.6 minutes

margin of error (E) = 0.6

critical value at significance level of 0.02 is,

We want to find, the sample size (n),

Therefore, required number of customers = 320

Note : if we used critical value = 2.326 then required number of customers = 319

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