The city transit commission wants to determine if there is a need.for a change in the frequency of service over certain bus routes. It is determined that the average number of miles travelled by bus over the routes in question by all residents in a given area is about 6.8km each day. If the average number of kilometers travelled per person each day differs from 6.8km, then changes in the service maybe necessary. A random sample of 145 bus riders is taken and it is found that the sample mean is 5.9km per resident per day with a standard deviation of 3.7km. At the %% level of significance,is a change in service necessary?
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