Question

In 2002, the mean age of an inmate on death row was 40.7 years, according to data obtained from the U.S. Department of Justice. A sociologist wondered whether the mean age of a death-row inmate has changed since then. She randomly selects 34 death-row inmates and finds that their mean age is 38.5, with a standard deviation of 10.2. Does this data indicate that the mean age of death-row inmates has changed significantly since 2002. Use the α = 0.05 level of significance.

*On a separate sheet of paper, write down the hypotheses
(H _{0} and H_{a}) to be tested.*

Conditions:

We **[a]** (**are** / **are
not**) able to determine if the data is normally distributed
from the given description.

The t-test for means **[b]** (**is** /
**is not**) valid for the given data.

Rejection Region:

To test the given hypotheses, we will use a (**left**
/ **right** / **two**)
**[c]**-tailed test. The appropriate critical value(s)
for this test is/are **[d]**. *(Report
your answer exactly as it appears in Table VI. For two-tailed
tests, report both critical values in the answer blank separated by
only a single space.)*

Refer to the data and Minitab Express output from Question 1.

The test statistic for this test is
t_{0}=**[a]**. *(Calculate
this value in a single step in your calculator, and report your
answer rounded to 3 decimal places.)*

*Label the test statistic in your sketch from Question 1. Use
this sketch to conclude the hypothesis test.*

We **[b]** (**reject** / **fail
to reject**) H_{0}.

The given data **[c]** (**does** /
**does not**) provide significant evidence that the
age of death-row inmates has changed since 2002.

Answer #1

In 2002, the mean age of an inmate on death row was 40.7 years,
according to data obtained from
the U.S. Department of Justice. A sociologist wants to test the
claim that the mean age of a death row inmate
has changed since then. She randomly selects 32 death-row inmates
and finds that their mean age is 37.9, with a
standard deviation of 9.6. Test the sociologist’s claim using a 1%
level of significance.

In 2002, the mean age of an inmate on death row was 40.7 years,
according to data obtained from
the U.S. Department of Justice. A sociologist wants to test the
claim that the mean age of a death row inmate
has changed since then. She randomly selects 32 death-row inmates
and finds that their mean age is 37.9, with a
standard deviation of 9.6. Test the sociologist’s claim using a 1%
level of significance.

One year, the mean age of an inmate on death row was 40.7
years. A sociologist wondered whether the mean age of a death-row
inmate has changed since then. She randomly selects 32 death-row
inmates and finds that their mean age is 38.9 , with a standard
deviation of 8.5 . Construct a 95% confidence interval about the
mean age. What does the interval imply?

One? year, the mean age of an inmate on death row was
41.241.2
years. A sociologist wondered whether the mean age of a?
death-row inmate has changed since then. She randomly selects
3232
?death-row inmates and finds that their mean age is
40.440.4?,
with a standard deviation of
9.29.2.
Construct a? 95% confidence interval about the mean age. What
does the interval? imply?

Several years? ago, the reported mean age of an inmate on death
row was 44.2 years. A sociologist wondered whether the mean age of
a? death-row inmate has changed since then. She randomly selects 40
?death-row inmates and finds that their mean age is 42.4?, with a
standard deviation of 8.6. Construct a 95?% confidence interval
about the mean age of death row inmates. What does the interval?
imply? Construct a 95?% confidence interval about the mean age. ?(
,...

One year, the mean age of an inmate on death row was 40.8
years. A sociologist wondered whether the mean age of a death-row
inmate has changed since then. She randomly selects 32 death-row
inmates and finds that their mean age is 40.3 with a standard
deviation of 9.9 Construct a 95% confidence interval about the
mean age. What does the interval imply?
Construct the correct hypthesis
A) H0 mu ___ ____
B) H1 mu ___ _____
C) Construct a...

One year, the mean age of an inmate on death row was
38.938.9
years. A sociologist wondered whether the mean age of a
death-row inmate has changed since then. She randomly selects
3232
death-row inmates and finds that their mean age is
37.837.8,
with a standard deviation of
8.18.1.
Construct a 95% confidence interval about the mean age. What
does the interval imply?
LOADING...
Click the icon to view the table of critical t-values.
Choose the correct hypotheses.
Upper H...

One year, the mean age of an inmate on death row was 39.9
years. A sociologist wondered whether the mean age of a death-row
inmate has changed since then. She randomly selects 32 death-row
inmates and finds that their mean age is 38.3,with a standard
deviation of 8.1. Construct a 95% confidence interval about the
mean age. What does the interval imply?
A) Choose the correct hypotheses.
B) Construct a 95% confidence interval about the mean age.
The lower bound...

One year, the mean age of an inmate on death row was 40.5
years. A sociologist wondered whether the mean age of a death-row
inmate has changed since then. She randomly selects 32 death-row
inmates and finds that their mean age is 39.5, with a standard
deviation of 8.6. Construct a 95% confidence interval about the
mean age. What does the interval imply? LOADING... Click the icon
to view the table of critical t-values. Choose the correct
hypotheses.
Upper H...

The state of CT claims that the average time on death row is 15
years. A random survey of 75 death row inmates revealed that the
average length of time on death row is 17.2 years with a standard
deviation of 6.3 years. Conduct a hypothesis to test the state of
CT's claim. What type of test should be run? z-test of a proportion
t-test of a mean The alternative hypothesis indicates a
right-tailed test two-tailed test left-tailed test Calculate...

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