MAT 222 Midterm: MAT_222_SP_14
MAT 222 Final Examination Version 2 May 5, 2014
NAME
-----------------
SUID
------------------
Please check the
name
of
your
instructor:
[ ] Ben Cortese
[ ] Jeffrey McLean
[ ] Rashmi Deshpande
[ ] Stephen Parry
Do not write below
Question Value Score
1
16
2
15
3
15
4
16
5
20
6 28
Total
110
I. (From the Journal
of
Psychiatry, May 2000) Researchers wanted
to
measure the effect
of
alcohol
on
the development
of
the hippocampal region in adolescents. The hippocampus
is the portion
of
the brain responsible for long-term memory storage.
The
researchers
randomly selected
12
adolescents with alcohol use disorders.
They
wanted to determine
whether the hippocampal volumes in the alcoholic adolescents
were
less than the typical
volume
of
9.02 cubic centimeters with a population standard deviation
of
0.67.
The
sample had a mean
of
8.10.
a) Since
the
sample size is 12, what must
we
assume about the distribution
of
hippocampal
volumes in alcoholic adolescents? (4 points)
b) Construct a
99%
confidence interval for the average hippocampal volumes in the
alcoholic adolescents.
(4
points)
c)
If
we wanted to decrease
our
margin
of
error
to 0.3, how many more people would we
need to observe?
(4
points)
cl)
Conduct the hypothesis test that the researchers conducted at the a = 0.01 significance
level. Determine the null and alternative hypothesis, test-statistic, p-value/
or
critical
value. and conclusion.
(4
points)
2.
A researcher gathered data on the life span
of
female American novelists and female
American poets. Below
is
a table
of
summarizing statistics.
Writer n i s
Poets 32 63.19 17.30
Novelist 53 71.45 13.05
a)
Construct a 95% confidence interval
for
the difference
of
the means. (5 points)
b)
Suppose the researcher wants
to
determine if the average life span
of
female American
novelist
is
significantly different
from
the
average life span
of
female American poets at
the
a = 0.05 significance level. Determine the null hypothesis and alternative
hypothesis. find the value
of
the appropriate test-statistic and determine the p-value/
or
critical value.
(5
points)
c)
Write a concluding sentence on your findings.
(5
points)
Document Summary
110: (from the journal of psychiatry, may 2000) researchers wanted to measure the effect of alcohol on the development of the hippocampal region in adolescents. The hippocampus is the portion of the brain responsible for long-term memory storage. The researchers randomly selected 12 adolescents with alcohol use disorders. They wanted to determine whether the hippocampal volumes in the alcoholic adolescents were less than the typical volume of 9. 02 cubic centimeters with a population standard deviation of 0. 67. Determine the null and alternative hypothesis, test-statistic, p-value/or critical value. and conclusion. (4 points: a researcher gathered data on the life span of female american novelists and female. An experiment on the side effects of pain relievers examined arthritis patients to find the proportion of patients who suffer side effects when using ibuprofen to relieve the pain. [f more than 3% of users suffer side effects, the food and drug administration will put a stronger warning label on pm:kages of ibuprofen.
