Question

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 3,867 4,572 3,913

4,751 5,009 4,312 3,858 4,493 4,413

Answer #1

Suppose, random variable X denotes duration (in seconds) of times of game play.

Corresponding statistic is given by

Here,

Sample size

Sample variance

Degrees of freedom

We know,

[Using R-code '**qchisq((1-0.80)/2,11)**' and
'**qchisq(1-(1-0.80)/2,11)**']

Hence, 80% confidence interval
estimate of
, standard deviation of duration is **(327.593,
576.518)**.

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 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 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 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...

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

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 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
sigmaσ,
the standard deviation of the duration times of game play.
Assume that this sample was obtained from a population with a
normal distribution.
4536
4790
4619...

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 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 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...

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