HW1 STAT
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School
Texas State University *
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Course
3320
Subject
Industrial Engineering
Date
Dec 6, 2023
Type
Pages
3
Uploaded by MajorCranePerson343
Assignment 1 (Chapter 6)
IE3320
1. [20 points] A sample of 6 golf balls has the following weights (in grams):
44.7
45.2
43.5
45.7
45.8
45.1
What is the average weight of the golf balls in this sample? What is the sample standard
deviation of the weight of golf balls?
2. [5 points] A sample of 20 water specimens has an average mercury concentration of 1.6 ppm
and a standard deviation of 0.2 ppm. A second sample of 20 water specimens has an average
mercury concentration of 0.8 ppm and a standard deviation of 0.2 ppm. If the two samples
are combined, the standard deviation of all 40 water specimens will be ____.
(Hint: try to solve this problem by roughly estimating with diagrams.)
A. less than 0.2 ppm
B. greater than 0.2 ppm
C. equal to 0.2 ppm
D. can’t tell from the information given
Name:
Net ID:
Last
First
Instructions:
1.
PRINT YOUR NAME and NET ID in the space provided in the upper left corner.
2.
Submit electronic copy in Canvas (
PDF file only
).
3.
Show ALL WORK
. Partial credit will be awarded, but only if relevant equations are shown. (For
multiple-choice and fill-in-blank questions, only the final answer is required.)
4.
Total 7 questions. Total possible points: 100.
Extra credit for bonus question 7(b): 0.1 point.
Young
Jestin
05092788
I
-_
44.7-t45.2-43.56-45.7-45.8-4.5.li/-=45.00g#msp-
:
¥
|
¥
÷
¥
.s-
←
÷
0.8
8%4
°
'
'
0.01s
-1m
¥
S=0•
④
5-
5.704
0
Assignment 1 (Chapter 6)
IE3320
3. [10 points] A sample was categorized in Bin 1 to Bin 7. A histogram was constructed to
visually display the relative frequency distribution. What is the relative frequency in Category
5? (Hint: Determine the height of missing rectangle in this histogram.)
4. [20 points] Match each histogram to the boxplot that represents the same data set.
(a) and ______
present the same data set.
(b) and ______
present the same data set.
(c) and ______
present the same data set.
(d) and ______
present the same data set.
0
0.05
0.1
0.15
0.2
0.25
0.3
0.35
1
2
3
4
5
6
7
Relative Frequemcy
Categories
Relative Frequency Distribution
Bin
5=1
-
0.05+0.15+0.15+0.2
-10.31-0
.
I
=0
4
I
2
3
Assignment 1 (Chapter 6)
IE3320
5. [10 points] Which of the following statistics
may not
be determined from a boxplot?
A. The median
B. The mean
C. The first quartile
D. The third quartile
E. The interquartile range
6. [30 points] Following are comparative boxplots. Write T (True) or F (False):
______(a) The median of A is greater than the 25th percentile of B.
______(b) The median of A is greater than the median of B.
______(c) About half the sample values of A are between 2 and 3.
______(d) There is a greater proportion of values outside the box for the A than for the B.
______(e) Both samples are skewed to the right.
______(f) Both samples contain outliers.
7. There are 15 numbers on a list, and the mean is 25. One smallest number on the list was
accidentally changed from 14.6 to 1.46.
(a) [5 points] Which of the following statistics did not change for sure?
A. The mean
B. The median
C. The range
D. The maximum
E. The minimum
(b) (
Bonus question
. Extra credit: 0.1 point) Is it possible to determine the value of the mean
after the change? If so, what is the value? Show your calculation.
O
F
T
i
T
F-
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