Question

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 mean. **(Round " t" value to 3 decimal
places and final answers to 2 decimal places.)**

**c.** Construct the 95% confidence interval for
the population mean. **(Round " t" value to 3 decimal
places and final answers to 2 decimal places.)**

Answer #1

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: 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...

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...

11. A random sample of 22 observations is used to estimate the
population mean. The sample mean and the sample standard deviation
are calculated as 135.5 and 30.50, 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.)
Confidence...

A sample of 23 observations is selected from a normal population
where the sample standard deviation is 4.95. The sample mean is
16.90.
a. Determine the standard error of the mean.
(Round the final answer to 2 decimal places.)
The standard error of the mean is _______ .
b. Determine the 90% confidence interval for
the population mean. (Round the t-value to 3
decimal places. Round the final answers to 3 decimal
places.)
The 90% confidence interval for the population...

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 x−x− = 49.64 and
s2 = 38.44.
a. Compute the 95% confidence interval for
μ if x−x− and s2 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 s2 were obtained from...

A random sample of 24 items is drawn from a population whose
standard deviation is unknown. The sample mean is x¯ = 870 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 98% confidence.
(Round your answers to 3 decimal places.) The 98% confidence
interval is from to
(b) Construct an interval estimate of μ with 98% confidence,
assuming that s =...

From a normal population, a sample of 230 observations is
selected. The population standard deviation is 26, and the sample
mean is 18.
a.
Determine the standard error of the mean. (Round your
answer to 3 decimal places.)
b.
Determine the 99% confidence interval for the population mean.
(In your calculations: round your z/t value to 2 decimals, but
round all other values to 3 decimals. Round your final answer to 3
decimal places.)

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