Conduct a hypothesis test to determine

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Suppose that a recent article stated that the mean time spent in jail by a first-time convicted burglar is 2.5 years. A study was then done to see if the mean time has increased in the new century. A random sample of 26 first-time convicted burglars in a recent year was picked. The mean length of time in jail from the survey was 3 years with a standard deviation of 1.8 years. Suppose that it is somehow known that the population standard deviation is 1.5. Conduct a hypothesis test to determine if the mean length of jail time has increased. The distribution of the population is normal.

At a pre-conceived α = 0.05, what is your:

a. Decision:

b. Reason for the decision:

c. Conclusion (write out in a complete sentence):

Reference no: EM131822403

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