18. Twelve different video games showing substance use were observed and the dur

Question

18. 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 90% confidence interval estimate of , the mean duration of game play 4040 3891 3869 4019 4310 4813 4650 4025 5004 4827 4337 4314 Click here to view Click here to view page 2 of the standard normal distribution table.3 What is the confidence interval estimate of the population mean ? SHE Round to one decimal place as needed.) 1: Critical t values

Explanation / Answer

the formula used to calculate the confidence interval is :

x_bar-t/2(s/n)<<x_bar+t/2(s/n)

x_bar is the sample mean = (4040+3891+3869+4019+4310+4813+4650+4025+5004+4827+4337+4314)/12=4341.58

s_square is sample variance =[1/n(n-1)][n x_square - (x)square]= s=s_square=392.8

since you are looking for 90% confidence interval =1-0.9=0.1

t/2=t0.1/2=t0.05 with n-1 degree of freedom (n-1=12-1=11)

you go to t-distribution table and check the value of t for =0.05 and v=11 which is 1.796

4341.5-1.796(392.8/12)<<4341.5+1.796(392.8/12)

4341.5.2-203.65<<4341.5+203.65

4137.85 <<4545.15

4139.2<<4547.2

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