Question

In: Statistics and Probability

One​ year, the mean age of an inmate on death row was 40.440.4 years. A sociologist...

One​ year, the mean age of an inmate on death row was 40.440.4 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 39.439.4​, with a standard deviation of 9.99.9. 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​:
▼
x overbarx
pp
muμ
sigmaσ
▼
equals=
not equals≠
less than<
greater than>
nothing
Upper H 1H1​:
▼
sigmaσ
muμ
pp
x overbarx
▼
less than<
greater than>
not equals≠
equals=
nothing
​(Type integers or decimals. Do not​ round.)

Solutions

Expert Solution

Confidence Interval Calculation

Null and Alternate Hypothesis are as follows:

H0: μ = 40.4

Ha: μ ≠ 40.4

If the confidence interval contains the null hypothesis value, the results are not statistically significant and null hypothesis cannot be rejected. In this case, value of null hypothesis 40.4 lies within the confidence interval (35.831, 42.969) so we fail to reject null hypothesis. In other words, there is not enough evidence to claim that the mean age of a​ death-row inmate has changed since then.

orchestra answered 2 years ago
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