Question

In: Statistics and Probability

In 2002 the mean age of an inmate on death row was 40.7 years with a...

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?

Solutions

Expert Solution

Solution :

Given that,

mean = = 40.7

standard deviation = = 9.6

n = 32

= 40.7

=  / n = 9.6 / 32=1.697

P( < 38.9) = P[( - ) / < (38.9-40.7) /1.697 ]

= P(z <-1.06 )

Using z table  

= 0.1446   

probability= 0.1446

yes this indicate that the mean age of death row inmates is less than in 2002


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