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=0.30 hour is desired. Past studies suggest that a population standard deviation ofσ=1.2 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=0.30 hour is desired. Past studies suggest that a population standard deviation of
σ=1.2 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

Given that,

Margin of error = 0.30

Population standard deviation σ =1.2

Confidence interval 95%.

Sample size=?

Step 2

The formula for calculating sample size is

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ME = :. a =1-0.95 = 0.05

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Step 3

Sub the given ...

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м. M.E =: 1.2 0,30 =0.05Jn 1.2 0.30 = 0.025 1.2 0.30 = 1.96 1.2 = 0.1531 n = 7.838 n = 61.4345 nz 61

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