What are the measures recommendedby statisticians to minimize the chances

of:

A. Type-1 error?2

B. Type-2 error?2

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

H0: 2.5 years

(ii) Write the alternative hypotheses.1

Alternativehypothesis:H1: >2.5years(Alsocalled Ha)

(iii) Test the hypothesis assuming the alpha value = 0.054

There is sufficient statistical evidence, at 0.05 significance level, to affirm that:The mean length of jail time has increased