Twelve different video games showing substance use were observed and the duratio
ID: 3428159 • Letter: T
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 99% confidence interval estimate of ?, the mean duration of game play. 4053 3889 3862 4037 4325 4822 4654 4026 5012 4824 4343 4308 What is the confidence interval estimate of the population mean ?? Please show how to get the sample standard deviation by steps? I am only confuse to how to get the answer for s. Thanks.
Explanation / Answer
x
x-meanx
(x-meanx)2
4053
-293.25
85995.56
3889
-457.25
209077.6
3862
-484.25
234498.1
4037
-309.25
95635.56
4325
-21.25
451.5625
4822
475.75
226338.1
4654
307.75
94710.06
4026
-320.25
102560.1
5012
665.75
443223.1
4824
477.75
228245.1
4343
-3.25
10.5625
4308
-38.25
1463.063
total
52155
1722208
Mean = ? x/n =52155/12=4346.25
? ( xi - x )2 = 1722208
Sample standard deviation = s = sqrt [ ? ( xi - x )2 / ( n - 1 ) ]
=sqrt(1722208/11) = 395.682
Confidence Interval Estimate for the Mean
Data
Sample Standard Deviation
395.682
Sample Mean
4346.25
Sample Size
12
Confidence Level
99%
Intermediate Calculations
Standard Error of the Mean
114.2236
Degrees of Freedom
11
t Value
3.1058
Interval Half Width
354.7564
Confidence Interval
Interval Lower Limit
3991.49
Interval Upper Limit
4701.01
x
x-meanx
(x-meanx)2
4053
-293.25
85995.56
3889
-457.25
209077.6
3862
-484.25
234498.1
4037
-309.25
95635.56
4325
-21.25
451.5625
4822
475.75
226338.1
4654
307.75
94710.06
4026
-320.25
102560.1
5012
665.75
443223.1
4824
477.75
228245.1
4343
-3.25
10.5625
4308
-38.25
1463.063
total
52155
1722208
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