es showing substance use were observed and the duration times of game play (in s

Question

es showing substance use were observed and the duration times of game play (in seconds) are Twelve different video gam isted below. The design of the study justifies the assumption that the sample can be treated as a simple Use the data to construct a 90% confid 18. random sample. ence interval estimate of . the mean duration of game play 5004 4827 4337 4314 4040 3891 3869 4019 4310 4813 4650 Click here to view a t distribution table. Click here to view page 1 of the standard normal distribution table2 Click here to view page 2 of the standard normal distribution table 4025 What is the confidence interval estimate of the population mean ? e Hs Round to one decimal place as needed.) 1: Critical t values

Explanation / Answer

The sample mean is average of all values = 4341.583

The standard deviation of the sample is (4040-4341.58)^2 + ...+..(4314-4341.58)^2 / (12-1) = 394.8714

The confidence interval of 90% 2 tailed will have a t = 1,796

The CI is Xbar +/- t*s/sqrt(N)

The confidence interval is 4341.583+/- 1.796*394.8714/sqrt(12)

= 4136.9 to 4546.3

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