The physical fitness score for a population of county firefighters is 72 with a standard deviation of 7 on a 100 point physical endurance scale. Suppose the fire chief selects a sample of 49 local firefighters and records a mean physical fitness rating on this scale of 74. He conducts a z-test hypothesis test to determine if there is a significant difference between the entire county and the local fireifighters(Test at .05 level of significance).

a. Is this one-tailed test or a two tailed test and why?

b. perform the 4 steps of a hypothesis test *make sure to explain your findings in sentence format in last step