1．One
of the many concerns of college students today is the time required for them to
graduate with a baccalaureate degree (BA or BS). Current estimates in the
California public university system is that takes an average of slightly over 5 years for a student to complete a
baccalaureate degree. One researcher suggests that males take a significantly
longer average time than females to complete a baccalaureate degree. What is the correct hypotheses to test in an attempt
to support the claim of this researcher?
Let μ1 represent the average time it takes females to complete a
baccalaureate degree in the California public university system, and let μ2
represent the average time it takes males to complete a baccalaureate degree in
the California public university system.
Select
one:
A.
H0:μ1−μ2=0Ha:μ1−μ2>0
B.
H0:μ1−μ2=0Ha:μ1−μ2<0
C.
H0:μ1−μ2=0Ha:μ1−μ2≠0
D.
H0:μ1−μ2>0Ha:μ1−μ2≠0
E.
None of the above
２．In
the situation of Problem 1 above, suppose that two independent random samples
from approximately normal distributions were
taken from recent college graduates of the California public university
system. As before, we let μ1 represent
the average time it takes females to complete a baccalaureate degree in the
California public university system, and we let μ2 represent the average time
it takes males to complete a baccalaureate degree in the California public university system.
Using the
summary data below from the two samples, compute the value of the test
statistic t∗.
x1¯=4.95 x2¯=5.22
s1=0.64 s2=0.89
n1=21 n2=21
Select
one:
A.
-1.78
B.
-1.59
C.
-1.13
D.
-1.00
E.
-0.84
３． A
psychologist is studying the effects of lack of sleep on the performance of
various perceptual-motor tasks. After a given period of sleep deprivation, a
measurement of reaction time to an auditory stimulus was taken for each of
fifty randomly selected adult male subjects. The mean and standard deviation of
the reaction times (in seconds) for the fifty adult male subjects were 1.82
seconds and 0.28 seconds respectively. Previous psychological studies have
shown that the true mean reaction time
for non-sleep-deprived male subjects is 1.70 seconds. Does the sample evidence
indicate that the mean reaction time for
sleep-deprived adult males is longer than that of non-sleep-deprived adult males. Select the correct hypotheses to test
below.
Select
one:
A.
H0:μ=1.82Ha:μ<1.82
B.
H0:μ=1.70Ha:μ<1.70
C.
H0:μ=1.82Ha:μ>1.82
D.
H0:μ=1.70Ha:μ>1.70
E.
None of the above
4．Let
p1 be the proportion of successes in the first population and let p2 be the proportion of successes in the second
population. Suppose that you are testing the hypotheses:
H0:p1−p2=0Ha:p1−p2≠0
Futhermore suppose
that z∗=1.73,
find and input the p-value for this test. Round your answer to 4 decimal
places.
To answer the
question input only the actual number. Do not include units. Do not give your
answer in sentence form — just include the numerical
answer rounded to exactly 4 decimal
places.
Answer:
5. If you are
testing hypotheses and your p-value gives you a rejection of the null hypothesis
for a 5% significance level, then all other things being equal you would also
get a rejection of the null hypothesis for a 10% significance level.
Select one:
True
False
