Midterm 2_PracticeQuestions_withAnswers-1
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Douglas College *
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Course
101
Subject
Mathematics
Date
Jan 9, 2024
Type
Pages
4
Uploaded by JudgeLightningOpossum18
1.
Suppose that your score on a test is 95. From which of the following distributions would
you prefer your score to be? **~N
(
μ
,
s
) denotes normally distributed with mean
μ
and
standard deviation
s
.
a)
~N(85, 10) b) ~N(95, 10) c) ~N(95, 15) d) ~N(80, 20) e) ~N(105, 15)
(a)
Hint 1: calculate z-scores for each of the 5 alternatives and pick the highest one.
Hint 2: there are time saving strategies to eliminate some of the alternatives right off
the bat without having to calculate z-scores for those.
2.
The raw and z-scores of your mark in the Math exam were 70 and 1, respectively. Given
that the standard deviation of the distribution of all scores in this exam were 20, what is
the raw score and percentile rank of a student whose z-score was –1? (assume normal
distribution).
30; 16%
3.
Your finished the Vancouver Marathon in 4 hours and 30 minutes. This was longer (i.e. a
slower run) than 65% of all the runners who participated. Assuming finish time is
normally distributed with a mean finish time of 4 hours, what is the standard deviation?
Runners were considered to have completed the marathon if they finished the course in
6 hours and 30 minutes or less; others were disqualified. What percentage of runners
were disqualified from the race?
a.
Standard deviation: 76.92 minutes
b.
approx. 2.6% were disqualified
4.
Two Vancouver meteorologists review the output of the same weather forecast model.
Every morning, they predict if it will rain at 4pm on that day. Meteorologist A is more
likely to announce it will rain based on this model output compared to Meteorologist B.
Which one of the following is most likely to be true:
a.
Meteorologist A will have more misses and more correct rejects.
b.
Meteorologist A will have more hits and more false alarms.
c.
Meteorologist A will have more hits and more misses.
d.
Meteorologist A will have less hits and less false alarms.
e.
Meteorologist A will have more correct rejects and more false alarms.
(b)
5.
Each morning a Vancouver meteorologist forecasts the weather for the day stating
whether it will rain during the evening rush hour based on her interpretation of an
atmospheric model issued by Environment Canada. In the long run, which one of the
following may help her decrease her false alarms and increase hits? Choose all that
applies.
(i)
consulting multiple atmospheric models
(ii)
using a more liberal criterion
(iii)
using a more conservative criterion
(iv)
training on atmospheric model interpretation
(v)
forecasting rain more often
(vi)
forecasting clear skies more often
(i) and (iv)
6.
You think you inadvertently offended the server upon entering a restaurant. When he
brought your drinks over, you noticed that your glass is a bit short of being full. When
you point this out to the server, he argues that the machine automatically dispenses the
drink at the press of a button and fills it up to a slightly different level each time. You are
skeptical of this explanation and decided that this is the server's way of getting
"revenge". If the waiter was in fact telling the truth, your decision was a case of:
a) False Alarm b) Miss c) Hit d) Correct reject
(a)
7.
The internal response curves for signal absent and signal present conditions shown
above are both normally distributed with the same standard deviation,
a
. Criterion is set
at
2a
. For (i—vii) please refer to this figure and the information provided.
(i)
What is the false alarm rate?
2.5%
(ii)
What is the hit rate?
50%
(iii)
What is the miss rate?
50%
(iv)
What is the correct reject rate?
97.5%
(v)
What is d-prime?
2
(vi)
What would be the criterion value that generates a false alarm rate of 16%?
a
(vii)
What would d-prime be if criterion was set at
a
?
2
8.
A new medical test introduced to detect a genetic abnormality of a fetus based on
blood drawn from the mother has a false alarm rate of 1%. What is the hit rate of the
test?
a. 16%
b. 50%
c. 84%
d. 99%
e. Can not be determined based on the information provided.
(e)
9.
You got a score of 50 in your Psychology exam and the professor informed you that
scores in the exam were ~N(60, 5). The z-score and percentile rank of your exam score
were:
a. z = -1, percentile rank
»
98%
b. z = 1, percentile rank
»
98%
c. z = -2, percentile rank
»
2.5%
d. z = 2, percentile rank
»
98%
e. z = 1.2, percentile rank
»
89%
(c)
10.
Researchers examined speed of facial expression recognition in a 2x2 study where
expression (fearful vs. angry) and eye gaze (direct vs. averted) were manipulated on
face stimuli displayed on a computer screen. Response times for correct trials are
shown in the table below. For (i-vii) refer to this information
expression
eye gaze
direct
averted
anger
862.3 ms
914.1 ms
888.2 ms
fear
944.5 ms
891. 2 ms
917.9 ms
903.4 ms
902.7 ms
(i)
Was there a main effect of eye gaze?
no
(ii)
Was there a main effect of expression?
yes
(iii)
Was there an interaction between eye gaze and expression
yes
(iv)
How do you interpret this result?
Although there was a main effect of expression
suggesting anger is recognized faster than fear, this effect is qualified by the
interaction between expression and eye gaze. Anger was recognized faster only
when coupled with direct gaze.
(v)
State a plausible number of participants if this was a between-groups design
multiples of four, such as 16, 20, 24, …
11.
In a contrast detection experiment, the participants are seated in front of a computer
screen displaying visual noise. On randomly chosen half of the trials, a faint (i.e. low
contrast) circular disk (the stimulus) is added to the noise display. The participants are
instructed to respond "yes" if they think they saw the stimulus, and to respond "no" if
they believed the stimulus was absent (i.e. noise only). At the end of the experiment, the
researchers analyzed the data and determined that the participant A had a hit rate of
84% and a false alarm rate of 16%. Participant B had a hit rate of 70% and a false alarm
rate of 16%. Participant C had a hit rate of 84% and a false alarm rate of 20%
(i)
Rank Participant A, B and C in order of d-prime in an increasing order
B, C, A
(ii)
Calculate
d’ of participant A, B and C
(approximately A-d-prime=2; B-d-
prime=1.53; C-d-prime=1.84)
12. In a study on memory enhancement, neuroscientists examined the effects of a novel
drug on the number of neuronal connections in the hippocampus. Two groups of rats
were studied: one received the drug, and the other received a placebo. After a
specified period, the number of neuronal connections in the hippocampus of each rat
was counted.
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The findings are as follows:
Drug Group (n=50):
Mean number of connections = 1200
Standard deviation = 100
Placebo Group (n=50):
Mean number of connections = 1100
Standard deviation = 90
Calculate Cohen's d to determine the effect size of the drug on increasing the
number of neuronal connections. Interpret whether this is a small, medium or large
effect.
Cohen's d
»
1.05
This is a large effect