Question #350161

In a certain school, grade 11 students spend an average 14 hours, with a standard duration of 4 hours, in browsing their favorite social networking sites. The average time spent in a week by grade 11 students browsing their favorite social networking sites is 14 hours with a standard deviation of 4 hours. If a random sample of 35 students is selected, find the mean, variance and standard error of the distribution of all sample means that can be derived from the sample.


1
Expert's answer
2022-06-13T15:09:40-0400
μXˉ=μ=14 hours\mu_{\bar{X}}=\mu=14\ hours

σXˉ2=σ2/n=1635 hours2\sigma_{\bar{X}}^2=\sigma^2/n=\dfrac{16}{35}\ {hours}^2

SE=σXˉ2=σ/n=435 hoursSE=\sqrt{\sigma_{\bar{X}}^2}=\sigma/\sqrt{n}=\dfrac{4}{\sqrt{35}}\ {hours}

0.6761 hours\approx0.6761\ hours


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