The average age of a prisoner in the state’s jail is 28.76 years with a standard deviation of 2.17 years. Ten jails in the state have a prisoner average age of 26.89 years for their inmates. At the 1%...

The average age of a prisoner in the state’s jail is 28.76 years with a standard deviation of 2.17 years. Ten jails in the state have a prisoner average age of 26.89 years for their inmates. At the 1% level of significance, can we conclude that the average age of the prisoners at this jail is significantly lower? State the null and alternative hypothesis to this problem and whether this is a one or two tailed test.