According to the American Time Use Survey, Americans sleep an average of 7.82 hours each day with a standard deviation of 2.75 hours. Let be the average of a random sample of Americans. What sample size will give the standard deviation of equal to 0.21 hours? Round the solution up to the nearest whole number, if necessary. n =

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According to the American Time Use Survey, Americans sleep an average of 7.82 hours each day with a standard deviation of 2.75 hours. Let \( \overline{x} \) be the average of a random sample of Americans. What sample size will give the standard deviation of \( \overline{x} \) equal to 0.21 hours?

Round the solution up to the nearest whole number, if necessary.

\[ n = \boxed{} \]
Transcribed Image Text:According to the American Time Use Survey, Americans sleep an average of 7.82 hours each day with a standard deviation of 2.75 hours. Let \( \overline{x} \) be the average of a random sample of Americans. What sample size will give the standard deviation of \( \overline{x} \) equal to 0.21 hours? Round the solution up to the nearest whole number, if necessary. \[ n = \boxed{} \]
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