Math 216
Problem Set 4
1. Airplanes approaching the runway for landing are required to stay within the localizer (a certain
distance left and right of the runway). When an airplane deviates from the localizer, it is sometimes
referred to as an exceedence.
Math 216
Problem Set 5
Part One
The Tennessee Valley Authority (TVA) receives data from rain gauges all over Tennessee, some operated by
the TVA, others operated by other organizations. Data for the months of February and March 2012 for two
of these gauge
Math 216 Spring 2012
Problem Set 2
1. Professor Z asked his engineering students this question: Your sister calls to say shes having
twins. Which of the following is more likely, assuming shes not having identical twinstwin
boys, twin girls, or one girl a
Math 216 Spring 2012
Problem Set 1
1. Sketch three histograms.
a. One in which the mean is greater than the median.
b. One in which the median is greater than the mean.
c. One in which the mean is approximately equal to the median.
2. If you wanted to est
Math 216
Problem Set 6
1. Stainless steels can be susceptible to stress corrosion cracking under certain conditions. A materials
engineer is interested in determining the proportion of steel allow failures that are due to stress corrosion
cracking.
(a) In
Math 216
Problem Set 3
1. Suppose a game is played by rolling two six-sided dice and subtracting the smaller number from the
larger number rolled. So, for instance, if you roll a 3 and a 5, the resulting score is 5 3 = 2. If both
dice show the same number
Math 216 Clicker Questions Chapter 2
1. Your sister calls to say shes having twins. Which of the following is more likely? (Assume shes
not having identical twins.)
A. Twin boys
B. Twin girls
C. One boy and one girl
D. All are equally likely.
2. Through a
Math 216 Clicker Questions Chapter 1
1. Draw the following dart board: A dart board is constructed from three concentric circles with
radii 1 inch, 2 inches, and 3 inches, respectively. If a dart lands in the innermost circle, the
player receives 4 points
Math 216
Chapter 4 Clicker Questions
1. Given the 95% condence interval just constructed, (6.85, 7.61), is it correct to say that there is a 95%
chance that is between 6.85 and 7.61. Is this statement correct?
(A) Yes
(B) No
2. Given the condence interval
Math 216
Chapter 3 Clicker Questions
1. Consider X, the weight in pounds of a randomly selected newborn baby. Suppose that X is a normal
random variable with mean m = 7.57 and standard deviation s = 1.06. If the standard deviation were
s = 1.26 instead, h
Math 216
3.2 Probability Plots
More Examples
In each of the examples below, the probability density function on the left was used to generate 50 random
observations, summarized in the accompanying histogram. The observations were then used to construct th
Math 216 Midterm Exam 1 Study Guide
The first midterm will cover Chapters 1 and 2 in your textbook, as well as additional data visualization
techniques discussed in class. You are encouraged to bring a calculator (scientific or graphing) to the
test, but
Math 216 Spring 2012
Problem Set 4 Answer Key
1. n = 6, p = 0.07 Dene X = number of planes experiencing exceedence in a day.
(a)
6
(.07)1 (.93)5 0.292
1
P (X = 1) =
(b)
P (X = 0) = 0.936 0.647
(c)
E (X ) = np = 0.42
2 (X ) = np(1 p) = 0.3906
(X ) = 0.39
Math 216 Spring 2012
Problem Set 5 Answer Key
Part One
1. y = 0.02266 + 0.67498x [6pts]
2. Scatterplot [6pts]
3. r = 0.7473656 This indicates a moderately strong, positive linear correlation between
rainfall at Nickajack and Manchester dams. [6pts]
4. Res
Math 216 Spring 2012
Problem Set 6 Answer Key
1. (a) Assume p = 0.5, since this will give us the maximum SE possible. We have
p(1 p)
n
0.25
0.05 = 2.33
n
0.05 = z
Solve for n: n = 542.89, so we must take a sample of at least 543 observations.
(b) n = 200
Math 216 Spring 2012
Problem Set 2 Answer Key
1. The biggest problem with Professor Zs strategy is the sampling bias. Engineering
students are disproportionately male, so the simulation would be biased toward boyboy and boy-girl combinations. [6pts]
2. An
Math 216 Spring 2012
Problem Set 1 Answer Key
1. Sketch three histograms [9pts]
(a) Extreme values aect the mean much more than the median.
Examples: A right-skewed distribution or one with an outlier to the far right.
(b) Examples: A left skewed distribu
Math 216 Final Exam Study Guide
The first midterm will cover Chapters 1 through 7 in your textbook, as well as additional data
visualization techniques discussed in class. You are encouraged to bring a calculator (scientific or
graphing) to the test, but
Math 216
Chapter 7 Clicker Questions
1. The line y = 4 + 2x has been proposed as a line of best for the following four sets of bivariate data.
For which data set is this line the best t?
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(A)
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Math 216
Chapter 5 and 6 Clicker Questions
1. Two methods are used to predict the shear strength for steel plate girders. Each method is applied to
nine specic girders and the ratio of predicted load to observed load is calculated for each method and
each
Math 216 Midterm Exam 2 Study Guide
The second midterm will cover Chapters 3 and 4 in your textbook, specifically these sections and
subsections: 3.1, 3.2, 3.4, 3.5.2, 4.1, 4.2, 4.3, and 4.4. You are encouraged to bring a calculator (scientific
or graphin
Math 216 Spring 2012
Problem Set 3 Answer Key
1. The random variable X is the score on one roll of two six-sided dice, and subtracting
the smaller number from the larger one. That means our possible scores are:
1
2
3
4
5
6
(a) Probability
x
0
1
2
3
4
5
ot