Engineering Statistics I; Math 223
Test 1, Fall 20072008; 100 points
Name
_____________________
KEY
_______
__
_______________________
Instructions:
There are 8 problems on this test.
The point value of each problem is indicated next to it.
You may use the front and back sides of one 4
x
6 notecard with whatever
handwritten
material you have
transferred onto it.
The material may include examples, homework problems, formulas, Maple commands,
diagrams, symbols; i.e., basically anything.
I’m
providing you with a standard normal table for this test.
You may use a clean Maple worksheet, a clean Minitab worksheet, and/or a calculator on this test.
Clearly indicate your final answers by circling them.
Please give decimal approximations correct to
at least 2 places, unless indicated otherwise.
Even if you are using Maple to evaluate an expression,
still write down
the mathematical formula (e.g.,
summation), expression (e.g., integral), or equation
you are using to do the problem.
Points will be
deducted,
even if you supply the correct answer
, if you do not have the correct mathematical set up of the
problem.
Please indicate when you have used Minitab to assist with a problem.
Include Minitab commands or
functions used on a problem.
Number of Points
Page 1
(12 points)
Page 2
(14 points)
Page 3
(22 points)
Page 4
(16 points)
Page 5
(20 points)
Page 6
(16 points)
Total
(100 pts)
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1
1.
The IID Assumption (12 pts
–
4 pts each)
(a)
Data is collected on the sodium content (in mg) of bags of Low Salt Baked Cheetos as they come off of
a production line.
Based on the following time series plot and random order plot, would you argue that this
data is IID?
Why or why not?
60
54
48
42
36
30
24
18
12
6
1
1.0
0.5
0.0
0.5
1.0
Index
mg of Na
Time Series Plot (a)
60
54
48
42
36
30
24
18
12
6
1
1.0
0.5
0.0
0.5
1.0
Order (Random)
mg of Na
0.034
Random Order
Random Order Plot (a)
Not IID
–
the time series plot makes it evident that the data has nonconstant variance; i.e. the data is not
identically distributed.
(b)
The carapace length (in cm) from a sample of loggerhead turtle hatchlings captured along a quarter
mile stretch of beach on St. George’s Island in Florida
is recorded.
Based on the following time series plot
and random order plot, would you argue that this data is IID?
Why or why not?
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 Spring '08
 DeVasher
 Statistics, Normal Distribution, Probability theory, Cumulative distribution function, time series plot, random order plot

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