The amount of time spent in prison has a mean of 5.2 years and a standard deviation of 1.3 years. A prison counselor is trying to develop a program to help people to change the amount of time they are...

The amount of time spent in prison has a mean of 5.2 years and a standard deviation of 1.3 years. A prison counselor is trying to develop a program to help people to change the amount of time they are in jail. A sample of n= 16 participated in this program and had the following jail times in years:

5.1      4.5      3.3    5.7     6.1     5    6   5.2    5.8    5.7    5    1.9    2    5.9   2.9

5.9

according to these data, did the counselor's program change the length of prison time for the participants? (use standard deviation= 0.05, one tailed test)