Need Help with D E F Use the following information to answer the following exercises: Suppose that a recent article stated that the mean time spent in jail by a first-time convicted burglar is 2.5...

Need Help with D E F

Use the following information to answer the following exercises: 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 three 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.
Assume the distribution of the jail times is approximately normal.
a. Is this a test of means or proportions?
_____________________________
b. Is σ known and, if so, what is it?
_____________________________
c. Since both ? and ?? are given, which should be used? In a complete sentence, why.
d. State the distribution to use for the hypothesis test.
e. State the null and alternative hypotheses.
?0: ____________________ ??: ____________________
f. Find the ? − ?????, conduct the hypothesis test and state your conclusion.
? − ????? = _________________