Homework Assignments and Exam Information for

MATH 4753-002, Fall 2009

(Last updated on 20 November 2009)

Notes: Problem numbers refer to problems in the designated course text Statistics for Engineering and the Sciences (5th ed) by Mendelhall and Sincich. I expect to assign 17 homework assignments, of which 11 will be handed in for grading and the remaining six are recommended for essential practice, but are not to be handed in. Each of the 11 graded homework assignments will count for 10 points, and your 80-point homework grade will be computed by adding up your 8 best scores among the 11 homework grades that you receive. Bear in mind that only a portion of the assigned problems will actually be graded, so it is essential that you carefully review the non-graded problems on hand-in and recommended homework assignments to ensure your mastery of the material. Solutions to all assigned homework problems will be posted on D2L shortly after the assignment's due date. I reserve the right to refuse to grade any homework paper that is illegible or excessively sloppy. For more information on course policies concerning homework, see the course information page. The information on this page will be augmented and possibly revised as the semester progresses, so check back here periodically!

Data Sets: Some of the textbook's exercises have associated data sets provided by the publisher. These exercises are marked by a round ``CD'' symbol, and are available in various formats (such as EXCEL, Minitab, SAS). A copy of these data sets is available here (this is a ``zipped'' file, which you may have to unzip manually).

HW#0 (practice), do as soon as possible:

Read over Chapter 1 for some background on statistics and statistical methodology.

HW#1 (practice), suggested completion date is Friday, August 28:

Section 2.1, p. 17: 2.1, 2.2, 2.4;

Section 2.2, pp. 24-25: 2.12, 2.14 (in part (a) construct a frequency histogram for the data instead of the requested relative frequency histogram).

Note: You are allowed to use software to generate the required graphs and histograms for these problems, but it is also acceptable to draw them by hand.

For solutions to HW#1 go to D2L (posted on 08/28/09)

HW#2 (hand in), due Friday, September 4:

Section 2.4, p. 31: 2.21, 2.23, 2.24, 2.25;

Section 2.5, pp. 35-38: 2.31, 2.35, 2.40;

Section 2.6, pp. 40-41: 2.42, 2.47;

Section 2.7, p. 45: 2.50, 2.51.

For solutions to HW#2 go to D2L (posted on 09/08/09)

HW#3 (hand in), due Wednesday, September 9:

Section 3.2, pp. 68-69: 3.3, 3.4, 3.8;

Section 3.4, pp. 74-75: 3.13, 3.16, 3.18;

Section 3.5, pp. 79-80: 3.21, 3.23, 3.26, 3.28.

For solutions to HW#3 go to D2L (posted on 09/11/09)

HW#4 (hand in), due Wednesday, September 16:

Section 3.6, pp. 87-88: 3.32, 3.34, 3.35, 3.38;

Section 3.8, pp. 101-103: 3.49, 3.50, 3.52[(a),(c)], 3.55, 3.56, 3,60;

Section 3.9, p. 104: 3.63.

For solutions to HW#4 go to D2L (posted on 09/18/09)

HW#5 (hand in), due Monday, September 21:

Section 4.2, pp. 121-123: 4.1, 4.2, 4.3, 4.6, 4.9;

Section 4.3, pp. 126-127: 4.10, 4.11, 4.12, 4.16;

Section 4.4, p. 129: 4.17, 4.20.

For solutions to HW#5 go to D2L (posted on 09/22/09)

HW#6 (hand in), due Friday, September 25:

Section 4.6, p. 136: 4.24, 4.25, 4.26, 4.32;

Section 5.2, p. 172: 5.1, 5.2, 5.3.

For solutions to HW#6 go to D2L (posted on 09/25/09)

HW#7 (practice), suggested completion date is Wednesday, September 30:

Section 5.3, pp. 176-177: 5.7, 5.9[(a),(b)];

Section 5.4, pp. 178-179: 5.12, 5.15, 5.16;

Section 5.5, p. 183: 5.23, 5.24, 5.26, 5.27[(a),(d),(e)].

For solutions to HW#7 go to D2L (posted on 09/25/09)

Hour Exam I, Friday, October 2.

Hour Exam I will cover Sections 2.1-2.7, 3.1-3.6, 3.8, 4.1-4.6, and 5.1-5.5. During the exam you may use a scientific or graphing calculator (such as the TI-83/84) and a one-page reference sheet of your own making. I will provide you with copies of any tables that are needed. For more information click here . For a sample hour exam click here (this is the first hour exam that I gave when I taught MATH 4753 in Fall of 2004). For solutions to the sample hour exam click here . Warning: The sample hour exam is only provided to give you a general idea of the typical structure of my hour exams. You should not infer that the questions on your hour exam will be of exactly the same type as those that appear on the sample hour exam. In fact you should note that the sample exam contains no material from Sect. 5.5 because of some minor changes in the course syllabus since that time.

Results of Hour Exam I (posted 10/05/09):

The class average was 81. The breakdown by letter grade was as follows: 90-100 (A): 12 students; 80-89 (B): 7 students; 70-79 (C): 2 students; 60-69 (D): 4 students; 0-59 (F): 3 students. For a copy of the answer key click here . Individual exam scores are available on D2L

HW#8 (hand in), due Monday, October 12:

Section 6.1, pp. 215-216: 6.1, 6.2, 6.3, 6.5;

Section 6.2, pp. 220-221: 6.12, 6.13, 6.14.

For solutions to HW#8 go to D2L (posted on 10/16/09)

HW#9 (hand in), due Monday, October 19:

Section 6.3, pp. 222-223: 6.17 (but add part (c) and compute E(XY)), 6.20;

Section 6.4, pp. 224-225: 6.25, 6.26, 6.27, 6.32, 6.33;

Section 6.5, pp. 227-228: 6.35, 6.36, 6.37, 6.40, 6.41, 6.45.

For solutions to HW#9 go to D2L (posted on 10/20/09)

HW#10 (hand in), due Monday, October 26:

Section 6.9, pp. 244-245: 6.66, 6.67, 6.69;

Section 6.10, pp. 247-248: 6.78, 6.79, 6.80;

Section 6.11, pp. 252-253: 6.86, 6.87, 6.88.

For solutions to HW#10 go to D2L (posted on 10/27/09)

HW#11 (hand in), due Monday, November 2:

Section 7.1, pp. 266-267: 7.1, 7.2, 7.6 [add part (d) and compute the mean squared error (MSE) of the estimator y₁ in part (a)];

Section 7.3, p. 280: 7.14;

Section 7.4, pp. 284-285: 7.24, 7.26[part (b) only], 7.28.

For solutions to HW#11 go to D2L (posted on 11/03/09)

HW#12 (practice), suggested completion date is Friday, November 6:

Section 7.5, pp. 291-293: 7.36, 7.37, 7.39, 7.42;

Section 7.7, pp. 300-301: 7.53, 7.58;

Section 7.8, p. 304: 7.60, 7.62.

For solutions to HW#12 go to D2L (posted on 11/05/09)

HW#13 (practice), suggested completion date is Wednesday, November 11:

Section 7.9, pp. 308-309: 7.67, 7.69, 7.73;

Section 7.10, pp. 314-315: 7.74, 7.75, 7.78, 7.79;

Section 7.11, p. 318: 7.81, 7.82, 7.83, 7.84.

For solutions to HW#13 go to D2L (posted on 11/05/09)

Hour Exam II, Friday, November 13.

Hour Exam II will cover Sections 6.1-6.5, 6.7, 6.9-6.11 and 7.1, 7.3-7.5, 7.7-7.11. During the exam you may use a scientific or graphing calculator (such as the TI-83/84) and a one-page reference sheet of your own making. I will provide you with copies of any tables that are needed. For more information click here . For a sample hour exam click here (this is the second hour exam that I gave when I taught MATH 4753 in Fall of 2004). For solutions to the sample hour exam click here . Warning: The sample hour exam is only provided to give you a general idea of the typical structure of my hour exams. You should not infer that the questions on your hour exam will be of exactly the same type as those that appear on the sample hour exam.

Results of Hour Exam II (posted 11/16/09):

The class average was 84. The breakdown by letter grade was as follows: 90-100 (A): 11 students; 80-89 (B): 6 students; 70-79 (C): 4 students; 60-69 (D): 2 students; 0-59 (F): 2 students. For a copy of the answer key click here . Individual exam scores are available on D2L

HW#14 (hand in), due Monday, November 23:

Section 8.2, p. 341: 8.3, 8.4;

Section 8.4, pp. 347-348: 8.10, 8.11, 8.15;

Section 8.5, pp. 352-353: 8.17[also compute the Type II error and power of the test when μ=μ₁=10400], 8.18[also compute the Type II error and power of the test when μ=μ₁=55], 8.20, 8.21.

HW#15 (hand in), due Wednesday, December 2 (note extended due date):

Section 8.6, p. 357: 8.26, 8.27, 8.30[omit part (c)];

Section 8.7, pp. 361-363: 8.31[the "explain why" part of the problem is optional], 8.35;

Section 8.9, p. 371: 8.48, 8.53[(a) only].

HW#16 (practice), suggested completion date is Friday, December 4:

Section 8.10, pp. 374-375: 8.60, 8.61;

Section 8.11, p. 378: 8.64, 8.67;

Section 8.12, pp. 382-383: 8.73, 8.74.

HW#17 (practice), suggested completion date is Friday, December 11:

Section 10.3, pp. 449-454: 10.6, 10.11;

Section 10.5, pp. 458-459: 10.20[parts (a) and (f) only], 10.22;

Section 10.6, pp. 463-464: 10.32; Also work the following supplementary problem: Refer to the data in Exercise 10.11 and (a) find a 99.9% confidence interval for β₁, (b) Test β₁=0 versus β₁ >0 at α=.001;

Section 10.8, pp. 471-472: 10.37[parts (a) and (f) only], 10.44;

Section 10.9: Work the following supplementary problem: Refer to the data in Exercise 10.11 and (a) find a 95% confidence interval for the mean time (computed over multiple measurements) to drill five feet if the drilling begins at a depth of x_p=290 feet; (b) find a 95% prediction interval for a individual measurement of the time to drill five feet if the drilling begins at a depth of x_p=290 feet;

Supplementary Applied Exercises, p. 486: 10.58.

Final Exam, Friday, December 18, 8:00AM-10:00AM, in our usual classroom (PHSC 122).

The final exam is comprehensive. More information will be provided here about one week prior to the exam date.