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 data to construct a 95% confidence interval estimate of μ, the mean duration of game play.

4058 3879 3856 4027 4039 4822 4666 4029 5014 4825 4330 4319

Answer #1

- Here Let X1 be the random variable denoting the duration of game play
- The mean and variance is given by
- Mean =4322
- sample standard deviation is given by
- =408.5836
- To calculate the 95% confidence interval for the duration is given by
- The criticle value for Z
_{a/2}=Z_{0.025}for t distribution is for 11 degrees of freedom is given by**2.201** -
0.95=P(-2.201<t
<2.201)_{(0.025,11)} - 0.95=P(-2.201<<2.201)
- margin of error
- criticle value* standard
error=2.201*(408.58/sqrt(10))=
**284.56** - Hence by substituting the calculated values the confidence interval is given by
**(4037<<4606)**

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 μ, the mean duration of
game play.
4049, 3877,3853,4019,4323,4820,4656,4035,5001,4826,4326,4311

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 μ, the mean duration of
game play
4042
3892
3858
4019
4323
4819
4651
4024
4998
4828
4329
4319
What is the confidence interval estimate of the population mean...

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.
What is the confidence interval estimate of the population mean
???
4058, 3881, 3864, 4020, 4326, 4808, 4660, 4038, 5011, 4817,
4344,...

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 mu, the mean duration of
game play. 4054 3886 3860 4023 4324 4815 4651 4028 5009 4830 4326
4317

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...

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 mean, the mean duration of
game play.
4058 3876 3854 4030 4319 4805 4665 4025 5014 4816 4331 4312
What is the confidence interval estimate of the population...

Twelve different video games showing substance use were observed
and the duration of 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 sample
data to construct a 95% confidence interval estimate of ,σ, the
standard deviation of the duration times of game play. Assume that
this sample was obtained from a population with a normal
distribution.
4022
4047
3989...

Twelve different video games showing substance use were observed
and the duration of 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 sample
data to construct an 80% confidence interval estimate of σ, the
standard deviation of the duration times of game play. Assume that
this sample was obtained from a population with a normal
distribution.
3,965
4,864
4,876....

Twelve different video games showing substance use were observed
and the duration of 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 sample
data to construct an 80% confidence interval estimate of σ, the
standard deviation of the duration times of game play. Assume that
this sample was obtained from a population with a normal
distribution.
4,608 4,760 3,816...

Twelve different video games showing substance use were observed
and the duration of 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 sample
data to construct a 90% confidence interval estimate of sigma,
the standard deviation of the duration times of game play. Assume
that this sample was obtained from a population with a normal
distribution.
4296
4054
4381...

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