Transcript Jeopardy-stats

Statistical Jeopardy
Topic 1 Topic 2 Topic 3 Topic 4 Topic 5 Topic 6 Topic 7
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Topic 1
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School administrators collect data on students
attending the school. Which of the following
variables is quantitative?
a. Class (freshman, sophomore, junior, senior)
b. Grade point average
c. Whether the student is in AP classes
d. Whether the student has taken the SAT
e. None of these
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Topic 1
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We collect these data from 50 male students.
Which variable is categorical?
a. Eye color
b. Head circumference
c. Hours of homework last week
d. Number of cigarettes smoked daily
e. Number of TV sets at home
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Topic 1
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Which of the following summaries is
changed by adding a constant to each data
value?
I. the mean
II. the median
III. the standard deviation
a. I only
b. III only
c. I and II
d. I and III
e. I, II, and III
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Topic 1
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Suppose that a Normal model described student scores
in a history class. Parker has a standardized score (zscore) of +2.5. This means Parker
a. is 2.5 points above average
b. is 2.5 standard deviations above average for the class
c. has a standard deviation of 2.5
d. has a score that is 2.5 times the average for the class
e. None of the above
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Topic 1
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Which of the following statements is NOT true?
a. In a symmetric distribution, the mean and the
median are equal.
b. The first quartile is equivalent to the twenty-fifth
percentile.
c. In a symmetric distribution, the median is halfway
between the first and third quartiles.
d. The median is always greater than the mean.
e. The range is the difference between the largest
and the smallest observation in the data set.
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
Topic 2
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The mean salary of all female workers is
$35000. The mean salary of all the male
workers is $41000. What is true about the
mean salary of all workers?
a. It must be $38000.
b. It must be larger than the median salary.
c. It could be any number between $35000
and $41000.
d. It must be larger than $38000.
e. It cannot be larger than $40000.
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The distribution of the heights of students in a
large class is roughly Normal. Moreover, the
average height is 68 inches, and approximately
95% of the heights are between 62 and 74
inches. Thus, the standard deviation of the
height distribution is approximately equal to
a. 2
b. 3
c. 6
d. 9
e. 12
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Topic 2
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Environmental researchers have collected rain
acidity data for several decades. They want to see
if there is any evidence that attempts to reduce
industrial pollution have produced a trend toward
less acidic rainfall. They should display their data
in a(n)...
a. contingency table
b. bar graph
c. boxplot
d. histogram
e. timeplot
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Topic 2
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If a store runs out of advertised material during a sale,
customers become upset, and the store loses not only the sale
but also goodwill. From past experience, a music store finds
that the mean number of CDs sold in a sale is 845, the
variance is 225, and a histogram of the demand is
approximately Normal. The manager is willing to accept a
2.5% chance that a CD will be sold out. About how many
CDs should the manager order for an upcoming sale?
a. 1295
b. 1070
c. 935
d. 875
e. 860
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Topic 2
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Your stats teacher tells you your test score was
the 3rd quartile for the class. Which is true?
I. You got a 75% on the test.
II. You can't really tell what this means without
knowing the standard deviation.
III. You can't really tell what this means unless
the class distribution is nearly Normal.
a. None of these
b. I only
c. II only
d. III only
e. II and III
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Topic 3
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The five number summary for scores on a
statistics exam is 11, 35, 61, 70, 79. In all,
380 students took the test. About how
many had scores between 35 and 61?
a. 26
b. 76
c. 95
d. 190
e. None of these
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Topic 3
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A reporter wishes to portray baseball players as overpaid. Which
measure of center should he report as the average salary of major
league players?
a. The mean
b. The median
c. Either the mean or median. It doesn't matter since they will be
equal.
d. Neither the mean nor the median. Both will be much lower than the
actual average salary.
e. The standard deviation should be used to show the great disparity
between the astronomical salaries of the few superstars and the
salaries of the rest of the players.
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Topic 3
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The mean salary of all female workers is $35000. The
mean salary of all the male workers is $41000. What
is true about the mean salary of all workers?
a. It must be $38000.
b. It must be larger than the median salary.
c. It could be any number between $35000 and
$41000.
d. It must be larger than $38000.
e. It cannot be larger than $40000.
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Topic 3
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Which of the following statements is NOT true?
a. In a symmetric distribution, the mean and the
median are equal.
b. The first quartile is equivalent to the twenty-fifth
percentile.
c. In a symmetric distribution, the median is halfway
between the first and third quartiles.
d. The median is always greater than the mean.
e. The range is the difference between the largest and
the smallest observation in the data set.
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Topic 3
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The five number summary for scores on a
statistics exam is 11, 35, 61, 70, 79. In all, 380
students took the test. About how many had
scores between 35 and 61?
a. 26
b. 76
c. 95
d. 190
e. None of these
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Topic 4
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Which of the following is NOT CORRECT about a
standard Normal distribution?
a. The proportion of scores that satisfy 0<Z<1.5 is 0.4332.
b. The proportion of scores that satisfy Z< -1.0 is 0.1587.
c. The proportion of scores that satisfy Z>2.0 is 0.0228.
d. The proportion of scores that satisfy Z< 1.5 is 0.9332.
e. The proportion of scores that satisfy Z> -2.5 is 0.4938.
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Topic 4
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Topic 4
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Topic 4
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Topic 4
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Topic 5
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Topic 5
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Topic 5
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Topic 5
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Topic 5
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Topic 6
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This table shows the distribution of
marks for a spelling test. Calculate
the mean mark.
Mark
4
Frequency 2
5
3
6
1
7
4
8
8
9
3
10
4
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x
Topic 6
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0
1
2
3
4
Frequency 6
4
3
a
2
Find the value of a if
the mean is 1.65.
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Topic 6
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The length of members of a
certain species of fish is
normally distributed with a
mean of 40 cm and a standard
deviation of 5 cm. Find the
probability that a fish is longer
than 45 cm.
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Topic 6
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Two dice are rolled and the sum of
the two numbers that face up is
recorded. Find the probability that
the sum of the two numbers is more
than 3 but less than 8.
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Topic 6
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In a class of 30 students, 17 have
brown hair, 12 have blue eyes, and 4
have neither brown hair nor blue
eyes. Create a Venn Diagram to
represent this situation and show
how many students have both brown
hair and blue eyes.
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Topic 7
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Differentiate:
2 x  3
5
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Topic 7
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Find the derivative with
respect to x:
2 ( x  2)
xe
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Topic 7
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Integrate:

2
x

2

 x  3 dx
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Topic 7
Integrate:

x

3
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 2 dx
2
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Topic 7
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Find the volume of revolution
when the region between y=sinx

5

and the lines x  4 and x 
6
Is rotated about the x-axis.
$$$$$$
Daily Double
Daily Double
Daily Double
Daily Double
Daily Double
Daily Double
The weight of mice is normally
distributed with a mean of 54
grams and a standard deviation
of 12 grams. The bottom 12% of
the mice weigh less than k
grams. Find k.