Question

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 0H0:

▼

muμ

pp

sigmaσ

x overbarx

▼

equals=

less than<

greater than>

not equals≠

nothing

Upper H 1H1:

▼

sigmaσ

x overbarx

pp

muμ

▼

not equals≠

greater than>

less than<

equals=

nothing

(Type integers or decimals. Do not round.)

Answer #1

Sample size = n = 32

Sample mean = = 37.8

Standard deviation = s = 8.1

We have to construct 95% confidence interval.

Formula is

Here E is a margin of error.

Degrees of freedom = n - 1 = 32 - 1 = 31

Level of significance = 0.05

tc = 2.040 ( Using t table)

So confidence interval is ( 37.8 - 2.9204 , 37.8 + 2.9204) =
> **( 34.88 , 40.72)**

--------------------------------------------------------------------------------------------------------------------

Claim: The mean age of a death-row inmate has changed.

The null and alternative hypothesis is

The value 38.9 belongs to the above interval so we fail to reject the null hypothesis.

Conclusion: The mean age of a death-row inmate has NOT changed.

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to view the table of critical t-values. Choose the correct
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Upper H...

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B) H1 mu ___ _____
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,...

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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.

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according to data obtained from
the U.S. Department of Justice. A sociologist wants to test the
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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.

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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
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A simple random sample of size
nequals=1515
is drawn from a population that is normally distributed. The
sample mean is found to be
x overbarxequals=29.429.4
and the sample standard deviation is found to be
sequals=6.36.3.
Determine if the population mean is different from
2424
at the
alpha equals 0.01α=0.01
level of significance. Complete parts (a) through (d)
below.
(a) Determine the null and alternative hypotheses.
Upper H 0H0:
▼
sigmaσ
muμ
pp
▼
not equals≠
less than<
equals=
greater than>...

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