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3. Netflix Addiction. Researchers are concerned about the impact of Netflix on s

ID: 3337718 • Letter: 3

Question

3. Netflix Addiction. Researchers are concerned about the impact of Netflix on student's focus. lu particular, they believe ihai io0 llcli Nei llix (zul (YIaiively unpaci a sindeti s a" alcuni performance. First, the researchers need to find out, on average, how many hours a week students spend watching or playing a Netflix video. A random sample of 300 students resulted in a sample mean of 10.7 hours watched per week. They know from previous studies that the population standard deviation of this variable is 4.2 hours

Explanation / Answer

i) for 72% confidence interval critical value will be at (50+72/2=86 th percentile) for which z =1.08

(ii)

std error of mean =std deviaiton/(n)1/2 =4.2/(300)1/2 =0.2425

hence lower bound =sample mean -z*std error =10.44

upper bound =sample mean +z*std error =10.96

(iii)

Yes as sample size is very large ; therefore we can be 72% confident.

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