Question

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 108, and the sample standard deviation, s, is found to be 10.

**1. A) Construct a 96% confidence interval about μ if
the sample size, n, is 24**.

**1. B) Construct a 96% confidence interval about μ if
the sample size, n, is 20.**

**How does increasing the sample size affect the margin
of error, E?**

A. As the sample size increases, the margin of error stays the same.

B. As the sample size increases, the margin of error decreases.

C. As the sample size increases, the margin of error increases.

**1. C) Construct a 90% confidence interval about μ if
the sample size, n, is 24.**

**Compare the results to those obtained in part (a). How
does increasing the level of confidence affect the size of the
margin of error,**

A. As the level of confidence increases, the size of the interval stays the same.

B. As the level of confidence increases, the size of the interval decreases.

C. As the level of confidence increases, the size of the interval increases.

**1. D) Could we have computed the confidence intervals in
parts (a)-(c) if the population had not been normally
distributed?**

Answer #1

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A simple random sample of size n is drawn from a population that
is normally distributed. The sample mean,
x,
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
22.
(b) Construct
a
95%
confidence interval about
μ
if the sample size, n, is
12.
(c) Construct
a
90%
confidence interval about
μ
if the sample size, n, is...

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A simple random sample of size n is drawn from a population that
is normally distributed. The sample mean, x bar over x, is found to
be 109, and the sample standard deviation, s, is found to be
10.
a) Construct a 96% confidence interval about mu if the sample
size, n, is 29
lower bound: __ upper bound: __
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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 111, and the sample standard deviation, s, is found to be 10.
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size, n, is 23. (b) Construct a 96% confidence interval about mu
if the sample size, n, is 27. (c) Construct a 98% confidence
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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 a 96 % confidence interval about mu if the
sample size, n, is 20 . (b) Construct a 96 % confidence interval
about mu if the sample size, n, is 13 . (c) Construct a 70 %
confidence...

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 109, and the sample standard deviation, s, is found to be 10.
(a) Construct a 96% confidence interval about mu if the sample
size, n, is 13.
(b) Construct a 96% confidence interval about mu if the sample
size, n, is 29.
(c) Construct a 99% confidence interval about mu if the...

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 107, and the sample standard deviation, s, is found to be 10.
(a) Construct a 96% confidence interval about mu if the sample
size, n, is 18.
(b) Construct a 96% confidence interval about mu if the sample
size, n, is 22.
(c) Construct a 98% confidence interval about mu if the...

A simple random sample of size n is drawn from a population that
is normally distributed. The sample mean, overbar x, is found to
be 115, 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 20. (b) Construct a 98% confidence interval about μ
if the sample size, n, is 25. (c) Construct a 99% confidence
interval about μ if the sample size, n,...

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 113, and the sample standard deviation, s, is found to be
10.
(a) Construct a 95% confidence interval about mu if the
sample size, n, is 24.
(b) Construct a 95% confidence interval about mu if the
sample size, n, is 17.
(c) Construct a 70% confidence interval about mu if the
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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 105, and the sample standard deviation, s, is found to be 10.
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size, n, is 24. (b) Construct a 90% confidence interval about mu
if the sample size, n, is 20. (c) Construct an 80% confidence
interval about mu if the sample size, n,...

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