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(1 point) suppose we want a 90% confidence interval for the average amount spent on books by freshmen in their first year at college. the amount spent has a normal distribution with standard deviation $33. (a) how large should the sample be if the margin of error is to be less than $4?



Answer :

48630 is large should the sample be if the margin of error is to be less than $4 .

What does the term "margin of error" mean?

  • A margin of error is a statistical term that takes into account the discrepancy between the outcomes of a random survey sample and the expected results.
  • Simply put, you can determine how unpredictable data and research results are by looking at the margin of error.

Margin of Error  = Z*Stdev/sqrt(n)

4 <= 0.90* 33/sqrt(n)

n >= (0.90* 33/2)^4 = 48630.17 OR 48630

So, n should be atleast 48630 so that margin of error is within $4

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