Homework
assignments up to Exam 1:
Jan
31:
(1) Fill out the information sheet.
(2) Read Section 1.1 and go over your class notes.
(3) Complete the pre-assessment (on your own, without looking at notes,
books, etc.)
(4) Using the interruption time data for Old Faithful given below,
(a) Create a histogram (choose your intervals as you please).
(b) Create a pie chart.
(c) Write a couple sentences about your observations from the
data/charts.
Interruption time data for Old Faithful (time given in minutes):
78 74 68 76 80 84 50 93 55 76 58 74 75 80 56 80 69
57 90 42 91 51 79 53 82 51 76 82 84 53 86 51 85 45 88 51 80 49 82 75 73
67 68 86 72 75 75 66 84 70 79 60 86 71 67 81 76 83 76 55 73 56 83 57 71
72 77 55 75 73 70 83
Feb 2: (1)
Do WileyPLUS assignment "1.1- practice" by
10 am.
(2) Study for quiz.
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Feb 5: (1) Do
WileyPLUS assignment 1.1 by 10 am.
(2)
Read Section 1.1 again, as necessary, and go
over your class notes.
(3)
Starting on page 38 #2, 7 (plus an added part (d) What is wrong with
this data? Is it sensible?), 9, 10, 17, 22.
(4)
Read Stephen Jay Gould's article (handout), "The Median Isn't the
Message," and summarize the statistical
issues in applying the concept of median in the real world that gave
the author reason to hope. Write a paragraph or two, and be sure
to write in complete sentences and use correct grammar and spelling.
Feb 7: (1) Read
the handout entitled “The Normal
Distributions.”
(2)
Blood phosphates. The levels of various substances in the blood
influence a person’s health. The following are measurements of
the level of phosphate in the blood of a patient, in milligrams of
phosphate per deciliter of blood, made on 6 consecutive visits to a
clinic: 5.6, 5.2, 4.6, 4.9, 5.7,
6.4
(a) Compute by hand the mean of the six observations.
(b) Use the definition of standard deviation to compute by hand
(show your work neatly) the standard deviation of the six
observations.
(c) Now enter the data into your calculator, and use the calculator to
find the mean and the standard deviation.
(3)
Choose four numbers from the whole numbers 0 through 10, with repeats
allowed, such that:
(a) the four numbers have the smallest possible standard deviation.
(b) the four numbers have the largest possible standard deviation.
(c) Is there more than one correct answer possible in either (a) or (b)?
(4)
No WileyPLUS homework due this Wednesday.
**Continue to check the web for WileyPLUS homework due most Mondays,
Wednesdays and Fridays.**
Feb 9: (1) Read
the handout "The Normal Distributions" again, as needed, and go over
your class notes.
(2)
Read Section 1.2 in the textbook.
(3)
Study for the quiz.
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Feb 12: (1) Do
WileyPLUS assignment 1.2 by 10 am.
(2) Read Section 1.3 in the textbook.
(3) Problems to be handed in:
Problem 1. The
distribution of heights of women aged 20 to 29 is approximately normal
with mean 64 inches and standard deviation 2.7 inches. Use the
68-95-99.7 rule to answer the following questions.
(a) Between what heights do the middle 95% of women aged 20 to 29
fall?
(b) What percent of these women are taller than 61.3 inches?
Problem 2. Using
the information from problem 1 and the fact that the distribution of
heights of men in the same age range is approximately normal with mean
69.3 inches and standard deviation 2.8 inches, what percent of young
men are shorter than the mean height of young women?
Problem 3. The
army reports that the distribution of head circumferences among male
soldiers is approximately normal with mean 22.8 inches and standard
deviation 1.1 inches.
(a)What can be said about the head circumferences of the 20% of the
soldiers who need the largest hats?
(b)What percent of soldiers have head circumference between 21.7 inches
and 23.9 inches?
Problem 4. Ty
Cobb’s batting average was .420 in 1911; Ted Williams’ was .406 in
1941; and George Brett’s was .390 in 1980. These batting averages
cannot be compared directly because the distribution of major league
batting averages has changed through the years. The distributions
are quite symmetric and (except for outliers such as Cobb, Williams and
Brett) reasonably normal. Here is the information:
Decade Mean Standard Deviation
1910s .266
.0371
1940s .267
.0326
1970s .261
.0317
Notice that the mean has stayed roughly constant but the standard
deviation has dropped. Compute the z-scores for the batting
averages for Cobb, Williams and Brett and compare how far each stood
above his peers.
Problem 5. The
yearly snowfall totals in inches for Buffalo, New York, during the
years 1910-1949 are:
126, 82, 78, 51, 91, 76, 105, 87, 110, 25, 69, 54, 40, 64, 47, 73, 80,
84, 81, 60, 79, 74, 50, 55, 72, 49, 104, 52, 82, 84, 78, 79, 90, 86,
58, 121, 111, 65, 40, 40.
(a) Make a histogram of the above data. Does
the data look normally distributed? Why or why not?
(b) Calculate the mean and standard deviation of snowfall totals.
(c) How close does the data come to meeting the 68-95-99.7 rule of an
ideal normal distribution?
Feb 14: (1)
Read Sections 1.3 and 1.4 in the book, and go over your class notes.
(2) Do WileyPLUS assignment "1.2 to 1.4."
(3) Problems to be handed in from the textbook (pp.42-48):
Sec 1.2: #32, 43 and Sec 1.3: #54, 58, 64, 74, 75
Feb 16: (1) Do
WileyPLUS assignment "1.3 and 1.4."
(2) Read Sections 2.1, 2.2, 2.3 and 2.4.
(3) Study for the quiz.
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Feb
19: Homework postponed to be due on Wednesday, Feb 21.
Feb 20: (1) Do
WileyPLUS assignment "2.1 to 2.4" by 10 am.
Feb 21: (1) Read
Sections 2.5 and 2.6.
(2) Do WileyPLUS assignment "2.2 to 2.5" by 10 am.
(3) Problems from the textbook to be handed in:
Chapter 1 (starting on p. 37) #60, 65, 92, 95, 100
Chapter 2 (starting on p. 106) #6, 8, 9, 22, 26, 42
Feb 23: (1) Read
Sections 2.6, 2.7 and 2.8.
(2) Do WileyPLUS assignment "2.1 to 2.6" by 10 am.
(3) Problems from the textbook to be handed in:
Chapter 2 (starting on p. 113) #56, 60, 66, 88, 94, 100, 110.
(4) Study for the quiz.
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Feb 26: (1) Read
Sections 3.1 and 3.2. We are temporarily omitting Section 2.9.
(2) Do WileyPLUS assignment "2.6 to 2.8" by 10 am.
(3) Problems from the textbook to be handed in:
Chapter 2 (starting on p. 114) #70, 104ad, 108, 124, 130, 146.
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Feb 28: (1) Do
WileyPLUS assignment "2.7 to 3.2" by 10 am.
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March 2: (1) Read
Section 2.9.
(2) Do WileyPLUS assignment "3.1+3.2" by 10 am.
(3) Problems from the textbook to be handed in:
Chapter 2 (starting on p. 119) #118, 147, 148
Chapter 3 (starting on p. 185) #5, 8, 12, 14, 20abdi
(4) Study for the quiz.
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March 5: (1) Read pages 133-145, "An Extended
Exploration," and the handouts on the correlation coefficient.
(2) Do WileyPLUS assignment "2.9" by 10 am.
(3) Problems from the textbook to be handed in:
Chapter 2 (starting on p. 122) #152, 154
Pages 150-151 #10abcd, 12
March 7: (1) Begin reviewing for the exam, and
email me questions or bring them to class.
Answers
to the Exam 1 review questions from class on March 7
March 9: Exam 1