Question
In: Statistics and Probability
A simple random sample of size n is drawn from a population that is normally distributed....
A simple random sample of size n is drawn from a population that is normally distributed. The sample mean, x, is found to be 111, and the sample standard deviation, s, is found to be 10.
(a) Construct a 98% confidence interval about μ if the sample size, n, is 15.
(b) Construct a 98% confidence interval about μ if the sample size, n, is 23.
(c) Construct a 99% confidence interval about μ if the sample size, n, is 15.
(d) Could we have computed the confidence intervals in parts (a)-(c) if the population had not been normally distributed?
Anything helps!
Solutions
Expert Solution
a)
b)
c)
d) No, since sample sizes are not large enough ( > 30) to approximate the sampling distribution of sample mean by normal distribution, usingg Central limit theorem.
orchestra answered 1 year agoRelated Solutions
A simple random sample of size n is drawn from a population that is normally distributed....
A simple random sample of size n is drawn from a population that
is normally distributed. The sample mean, x overbar, is found to
be 115, and the sample standard deviation, s, is found to be 10.
(a) Construct an 80% confidence interval about mu if the sample
size, n, is 12. (b) Construct an 80% confidence interval about mu
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A simple random sample of size n is drawn from a population that is normally distributed....
A simple random sample of size n is drawn from a population that
is normally distributed. The sample mean, x overbar is found to be
112, and the sample standard deviation, s, is found to be 10.
(a) Construct a 95% confidence interval about μ if the sample
size, n, is 26.
(b) Construct a 95% confidence interval about μ if the sample
size, n, is 17.
(c) Construct an 80% confidence interval about μ if the
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A simple random sample of size n is drawn from a population that is normally distributed....
A simple random sample of size n is drawn from a population that
is normally distributed. The sample mean,
x overbarx,
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106106,
and the sample standard deviation, s, is found to be
1010.
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aa
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confidence interval about
muμ
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aa
9595%
confidence interval about
muμ
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A simple random sample of size n is drawn from a population that is normally distributed....
A simple random sample of size n is drawn from a population that
is normally distributed. The sample mean,
x overbarx, is found to be 110, and the sample standard
deviation, s, is found to be 10.
(b) Construct a 95% confidence interval about μ if the sample
size, n, is 13.
(c) Construct a 70% confidence interval about μ if the sample
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A simple random sample of size n is drawn from a population that is normally distributed....
A simple random sample of size n is drawn from a population that
is normally distributed. The sample mean,x overbarx, is found to
be 115,and the sample standard deviation, s, is found to be
10.
(a) Construct a 95% confidence interval about μ if the sample
size, n, is 23.
(b) Construct a 95% confidence interval about μ if the sample
size, n, is 18.
(c) Construct a 70% confidence interval about μ if the sample
size, n, is 23....
A simple random sample of size n is drawn from a population that is normally distributed....
A simple random sample of size n is drawn from a population that
is normally distributed. The sample mean, x overbar , is found to
be 106 , and the sample standard deviation, s, is found to be 10
. (a) Construct an 95 % confidence interval about mu if the
sample size, n, is 18 . The Lower Bound and Upper Bound (b)
Construct an 95 % confidence interval about mu if the sample
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A simple random sample of size n is drawn from a population that is normally distributed....
A simple random sample of size n is drawn from a population that
is normally distributed. The sample mean, x overbar , is found to
be 106 , and the sample standard deviation, s, is found to be 10
. (a) Construct an 95 % confidence interval about mu if the
sample size, n, is 18 . The Lower Bound and Upper Bound (b)
Construct an 95 % confidence interval about mu if the sample
size, n, is 25 ....
A simple random sample of size n is drawn from a population that is normally distributed....
A simple random sample of size n is drawn from a population that
is normally distributed. The sample mean, x, is found to be 110,
and the sample standard deviation, s, is found to be 10.
(a) Construct a 98% confidence interval about mu if the sample
size, n, is 23.
(Use ascending order. Round to one decimal place as
needed.)
Lower bound: ____
Upper bound:____
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sample size, n,...
A simple random sample of size n is drawn from a population that is normally distributed...
A simple random sample of size n is drawn from a population that
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A simple random sample of size n is drawn from a population that is normally distributed....
A simple random sample of size n is drawn from a population that
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x overbarx,
is found to be
105105,
and the sample standard deviation, s, is found to be
1010.
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aa
9898%
confidence interval about
muμ
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aa
9898%
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2424.
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