Question

one year, the mean age of an inmate on death row was 40.1 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 9.3. construct a 95% confidence interval about the mean age. what does the interval imply? click the icon to view the table of critical t - values.choose the correct hypotheses.h₀: dropdowndropdownboxh₁: dropdowndropdownbox(typdecimals. do not round.)

Explanation:

Step1: Determine the null and alternative hypotheses

The null hypothesis \(H_0\) is a statement of no change. The sociologist is wondering if the mean age has changed. The original mean age was \(\mu_0 = 40.1\).
The null hypothesis is \(H_0:\mu = 40.1\) (the mean age has not changed).
The alternative hypothesis \(H_1\) is \(H_1:\mu
eq40.1\) (the mean age has changed).

Answer:

\(H_0:\mu = 40.1\) and \(H_1:\mu
eq40.1\)