In a random sample of 38 criminals convicted of a certain crime, it was determin
ID: 3339382 • Letter: I
Question
In a random sample of
38
criminals convicted of a certain crime, it was determined that the mean length of sentencing was
70
months, with a standard deviation of
13
months. Construct and interpret a
90%
confidence interval for the mean length of sentencing for this crime.Click here to view the standard normal distribution table (page 1).
LOADING...
Click here to view the standard normal distribution table (page 2).
LOADING...
Click here to view the table of critical t-values.
LOADING...
Click here to view the table of critical values of the chi-square distribution.
LOADING...
Select the correct choice below and fill in the answer boxes to complete your choice.
(Use ascending order. Round to one decimal place as needed.)
A.
90%
of the sentences for the crime are between
nothing
and
nothing
months.
B.
There is a
90%
probability that the mean length of sentencing for the crime is between
nothing
and
nothing
months.
C.
We can be
90%
confident that the mean length of sentencing for the crime is between
nothing
and
nothing
months.
Click to select and enter your answer(s).
Explanation / Answer
The correct option is C and we need to find the limits
mean is 70 and s is 13, the standard error, SE is 13/sqrt(38)=2.11
z value for 90% confidence is 1.65
thus the lower limit is mean-s*z=70-2.11*1.65=66.5185
upper limit is mean+s*z=70+2.11*1.65=73.4815
Related Questions
drjack9650@gmail.com
Navigate
Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.