Question

Consider a normal population with an unknown population standard
deviation. A random sample results in x−x− = 49.64 and
*s*^{2} = 38.44.

**a.** Compute the 95% confidence interval for
*μ* if x−x− and *s*^{2} were obtained from a
sample of 22 observations. **(Round intermediate calculations
to at least 4 decimal places. Round " t" value to 3 decimal
places and final answers to 2 decimal places.)**

**b.** Compute the 95% confidence interval for
*μ* if x−x− and *s*^{2} were obtained from a
sample of 26 observations. **(Round intermediate calculations
to at least 4 decimal places. Round " t" value to 3 decimal
places and final answers to 2 decimal places.)**

Answer #1

The statistical software output for this problem is:

Hence,

a) 95% confidence interval for n = 22:

(46.89, 52.39)

b) 95% confidence interval for n = 26:

(47.14, 52.14)

Consider a normal population with an unknown population standard
deviation. A random sample results in x− = 50.36 and s2 = 31.36.
[You may find it useful to reference the t table.]
a. Compute the 99% confidence interval for μ if x− and s2 were
obtained from a sample of 16 observations. (Round intermediate
calculations to at least 4 decimal places. Round "t" value to 3
decimal places and final answers to 2 decimal places.)
b. Compute the 99% confidence...

Consider a normal population with an unknown population standard
deviation. A random sample results in x−x− = 62.88 and
s2 = 16.81. [You may find it useful to
reference the t table.]
a. Compute the 90% confidence interval for
μ if x−x− and s2 were obtained from a
sample of 24 observations. (Round intermediate calculations
to at least 4 decimal places. Round "t" value to 3 decimal
places and final answers to 2 decimal places.)
b. Compute the 90% confidence...

Consider a normal population with an unknown population standard
deviation. A random sample results in 11formula80.mmlx − x− = 59.85
and s2 = 14.44. a. Compute the 95% confidence interval for μ if x
bar and s2 were obtained from a sample of 5 observations. b.
Compute the 95% confidence interval for μ if x bar and s2 were
obtained from a sample of 12 observations

Let the following sample of 8 observations be drawn from a
normal population with unknown mean and standard deviation: 28, 23,
18, 15, 16, 5, 21, 13. [You may find it useful to reference
the t table.]
a. Calculate the sample mean and the sample
standard deviation. (Round intermediate calculations to at
least 4 decimal places. Round "Sample mean" to 3 decimal places and
"Sample standard deviation" to 2 decimal places.)
b. Construct the 90% confidence interval for
the population...

Let the following sample of 8 observations be drawn from a
normal population with unknown mean and standard deviation: 23, 26,
22, 20, 16, 21, 25, 24. [You may find it useful to
reference the t table.]
a. Calculate the sample mean and the sample
standard deviation. (Round intermediate calculations to at
least 4 decimal places. Round "Sample mean" to 3 decimal places and
"Sample standard deviation" to 2 decimal places.)
b. Construct the 90% confidence interval for
the population...

Let the following sample of 8 observations be drawn from a
normal population with unknown mean and standard deviation: 16, 26,
20, 14, 23, 10, 12, 29. [You may find it useful to
reference the t table.]
a. Calculate the sample mean and the sample
standard deviation. (Round intermediate calculations to at
least 4 decimal places. Round "Sample mean" to 3 decimal places and
"Sample standard deviation" to 2 decimal places.)
b. Construct the 95% confidence interval for
the population...

A random sample of 14 observations is used to estimate the
population mean. The sample mean and the sample standard deviation
are calculated as 158.4 and 30.10, respectively. Assume that the
population is normally distributed. [You may find it useful
to reference the t table.]
a. Construct the 90% confidence interval for the
population mean. (Round intermediate calculations to at
least 4 decimal places. Round "t" value to 3 decimal
places and final answers to 2 decimal places.)
b. Construct...

A random sample of 23 items is drawn from a population whose
standard deviation is unknown. The sample mean is x¯x¯ = 770 and
the sample standard deviation is s = 25. Use Appendix D to
find the values of Student’s t.
(a) Construct an interval estimate of μ
with 95% confidence. (Round your answers to 3 decimal
places.)
The 95% confidence interval is from to
(b) Construct an interval estimate of μ
with 95% confidence, assuming that s =...

A random sample of 12 items is drawn from a population whose
standard deviation is unknown. The sample mean is x¯ = 800 and the
sample standard deviation is s = 10. Use Appendix D to find the
values of Student’s t. (a) Construct an interval estimate of μ with
95% confidence. (Round your answers to 3 decimal places.) The 95%
confidence interval is from 793.650 793.650 Correct ✓ to 806.351
806.351 Correct ✓ (b) Construct an interval estimate of...

Consider a population with a known standard deviation of 15.3.
In order to compute an interval estimate for the population mean, a
sample of 41 observations is drawn. [You may find it useful
to reference the z table.]
a. Is the condition that X−X− is
normally distributed satisfied? choose one of the following
Yes
No
b. Compute the margin of error at a 99% confidence
level. (Round intermediate calculations to at least 4
decimal places. Round "z" value to 3 decimal...

ADVERTISEMENT

Get Answers For Free

Most questions answered within 1 hours.

ADVERTISEMENT

asked 13 minutes ago

asked 30 minutes ago

asked 33 minutes ago

asked 36 minutes ago

asked 38 minutes ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 2 hours ago

asked 2 hours ago

asked 2 hours ago

asked 2 hours ago