A research group wishes to estimate the mean number of hours that high school students spend watching TV on a weekday. A margin of error ofE=0.20 hour is desired. Past studies suggest that a population standard deviation ofσ=2.62.6 hours is reasonable. Estimate the minimum sample size required to estimate the population mean with​ 95% confidence. The required sample size is________.​(Round up to the nearest whole​ number.)

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Asked Dec 14, 2019
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A research group wishes to estimate the mean number of hours that high school students spend watching TV on a weekday. A margin of error of
E=0.20 hour is desired. Past studies suggest that a population standard deviation of
σ=2.62.6 hours is reasonable.
 
Estimate the minimum sample size required to estimate the population mean with​ 95% confidence.
 
The required sample size is
________.
​(Round up to the nearest whole​ number.)
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Expert Answer

Step 1

The sample size formula is given below:

 

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Where, ois the population standard deviation, E is the margin of error and Z, is the critical value at a level of significance.

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Step 2

It is given that the margin of error is 0.20 and the standard deviation is 2.62.

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