Question

Twelve different video games showing substance use were observed and the duration times of game play? (in seconds) are listed below. The design of the study justifies the assumption that the sample can be treated as a simple random sample. Use the data to construct a 95?% confidence interval estimate of ??, the mean duration of game play.

4046 3889 3867 4020 4312 4805 4661 4033 5004 4828 4343 4317

What is the confidence interval estimate of the population mean ???

blank < ?? < blank

Answer 1

• To Calculate the 95% confidence interval.
• The critical value at z₌0.025 significance level with 11 degrees of freedom of t distribution is 2.5931
• 0.95=P(-2.5931<t_(0.025,11)<2.5931)
• 0.95=P(-2.5931<<2.5931)
• To calculate the mean and standard deviation is given by
• =4343.75
• and standard deviaton
• =394.24
• margin of error is given by
• =critical value*(standard deviation/sqrt(n))
• =2.5931*(394.24/sqrt(11))=308.23
• substituiting the above values the confidence interval is given by
• (4035.51<<4651.98)