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 36 first-time convicted burglars in a recent year was picked.

The mean length of time in jail from the survey was more than 2.5

Years (assume 3 years) with a standard deviation of 1.8 years. You

were conducting a hypothesis test to determine if the mean length of

jail time has increased.

(i) Write the null hypothesis and1

(ii) Write the alternative hypotheses.1

(iii) Test the hypothesis assuming the alpha value = 0.05