In: Statistics and Probability
In 2002 the mean age of an inmate on death row was 40.7 years with a standard deviation of 9.6 years. A sample of 32 current death row inmates shows a mean age of 38.9 years. Does this indicate that the mean age of death row inmates is less than in 2002?
Here we will use we will use one sample Z-test since sample size is > 30 and population standard deviation is given
So here we want to test that mean age of death row inmates is less than in 2002
let X denote the age of an inmate on death row
the procedure for z-test is as follows
(5) Conclusion
It is concluded that the null hypothesis Ho is not rejected. Therefore, there is not enough evidence to claim that the mean age of death row inmates is less than in 2002, at the 0.05 significance level.