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Math 250 - Statistical Methods I

Spring 2018


Professor: Bo Kai

Office: 350 Robert Scott Small Building

Phone: (843) 953-8017

Email: KaiB@cofc.edu

Office Hours: TR 12:30 - 1:30 pm or by appointment

Syllabus: Section 02, Section 06

Textbook: Introductory Statistics (10th Edition), by Neil A. Weiss, Published by Pearson.

Textbook Publisher Webpage

Textbook Companion Website

College of Charleston:

Academic Calendar

Final Exam Schedule

The Honor System


Course Calendar

Week

Tuesday

Thursday

1

01/09

01/11

2

01/16

01/18 Quiz 1; HW1 Due

3

01/23

01/25

4

01/30

02/01 Quiz 2; HW2 Due

5

02/06

02/08

6

02/13

02/15 Test 1; HW3 Due

7

02/20

02/22

8

02/27

03/01 Quiz 3; HW4 Due

9

03/06

03/08 Mid Term Grade Available

10

03/13Withdraw Deadline

03/15 Quiz 4; HW5 Due

11

03/20 Spring Break

03/22 Spring Break

12

03/27

03/29

13

04/03

04/05 Test 2; HW6 Due

14

04/10

04/12

15

04/17

04/19 Review; HW7 Due

Final

04/25 - 05/02


Homework Assignments

Instructions:

  • Homework problems will be assigned after each lecture and collected bi-weekly in class.
  • All homework problems are from the textbook. Answers to odd-numbered problems are included in the textbook!
  • Detailed solutions will be posted in OAKS after each collection. It is your responsibility to check your homework answers against the posted solutions.
  • Problems in BLACK color are hand-written problems. Problems in RED color are Minitab problems, which need the use of Minitab to answer questions.
  • Please use a word processor, such as MS Word, to do Minitab problems. To save paper, DO NOT print outputs/graphs directly from Minitab! You may copy and paste Minitab outputs/graphs into a Word document, type out all your answers, and then print the Word file.
  • Datasets can be found in the book CD or downloaded from the Textbook Companion Website. Please use Minitab Files (Format) or Text Files (Format).
  • Minitab should be available on most campus computers. Personal copies can be obtained via 30-day free trial or 6-month rental (for $29.99). Note that the 30-day free trial option is not available for Mac.
  • Minitab 18 for PC is a full version, while Minitab Express for Mac is a light version. The Minitab Guide provided with HW problems are based on Minitab 18 for PC. If you are using Minitab Express for Mac, the interface is somewhat different from the one of Minitab 18 for PC. You may either explore and figure out by yourself or ask me for help.

HW1

Due 01/18

01/09

Section 1.1: 1.7, 1.9, 1.13, 1.15.

Section 1.2: 1.45, 1.51(b).

Section 2.1: 2.7, 2.9, 2.15, 2.16.

Minitab Guide:

  • To generate a simple random sample using Minitab, please refer to Instruction 1.1 on the top of page 15 of the textbook.

01/11

Section 2.2-2.3: 2.39, 2.107.

Section 2.4: 2.143, 2.145, 2.146, 2.149, 2.151, 2.153.

Section 3.1: 3.19, 3.27, 3.47, 3.51, 3.55, 3.56.

Minitab Guide:

  • To make a frequency/relative frequency table, select Stat => Tables => Tally Individual Variables, check either ‘Counts’ or ‘Percents’ or both.
  • To make a pie chart, select Graph => Pie Chart.
  • To make a bar chart, select Graph => Bar Chart.
  • To make a histogram, select Graph => Histogram.
  • To make a dotplot, select Graph => Dotplot.
  • To make a stem-and-leaf diagram, select Graph => Stem-and-Leaf.
  • To obtain number summaries, select Stat => Basic Statistics => Display Descriptive Statistics. To display Mode and/or other statistics, please check the ‘Statistics…’ button.

01/16

Section 3.2: 3.64, 3.71, 3.81, 3.87, 3.91.

Section 3.3: 3.121, 3.139.

Section 3.4: 3.163, 3.165, 3.167, 3.169, 3.183.

Minitab Guide:

  • To make a boxplot, choose Graph => Boxplot, and select Simple in the One Y row.

HW2

Due 02/01

01/18

Section 3.4: 3.178, 3.181, 3.191.

Section 3.5: 3.192, 3.217, 3.218, 3.225.

Minitab Guide:

  • To make a comparative boxplot, choose Graph => Boxplot, and select Simple in the Multiple Y’s row.

01/23

Section 4.1: 4.19, 4.25.

Section 4.2: 4.42, 4.43, 4.45, 4.65, 4.69, 4.76.

Section 4.3: 4.85, 4.86, 4.97, 4.98, 4.99, 4.101.

01/25

Section §4.8: 4.247, 4.251, 4.253, 4.258.

01/30

Section §4.8: 4.261, 4.262, 4.263, 4.265, 4.267, 4.268.

Study for Quiz 2, which covers §3.4, §3.5, §4.1, §4.2, §4.3, §4.8.

HW3

Due 02/15

02/06

Section §5.1: 5.9, 5.11, 5.17, 5.21, 5.22.

02/08

Section §5.2: 5.31, 5.37, 5.39, 5.41, 5.43, 5.48.

02/13

Study for Test 1, please follow the study guide in OAKS to study for Test 1!

HW4

Due 03/01

02/20

Section §5.3: 5.65, 5.73, 5.76, 5.63, 5.77, 5.79, 5.81, 5.83, 5.85, 5.87.

You may do the parts about finding mean and standard deviation of Binomial after 02/22’s lecture.

02/22

Section §5.3: Finish the parts about finding mean and standard deviation of Binomial in the above problems.

02/27

Section §6.1: 6.7, 6.9, 6.11, 6.29, 6.31, 6.33.

Study for Quiz 3, which covers §5.3 (Binomial), §6.1 (Density Curves).

HW5

Due 03/15

03/01

Section §6.2: 6.59, 6.61, 6.63, 6.65, 6.69, 6.70, 6.71, 6.75, 6.77, 6.83.

  • To deal with normal distributions, the TI functions “normalcdf()” and “invnorm()” are recommended (instead of the normal table).

03/06

Section §6.3: 6.97, 6.99, 6.103, 6.109, 6.112.

03/08

Section §6.4: 6.121, 6.123, 6.135, 6.136.

Section §7.1: 7.2, 7.17.

Minitab Guide:

  • To make a normal probability boxplot, Graph => Probability Plot.

03/13

Section §7.2: 7.41, 7.47, 7.51.

Section §7.3: 7.67, 7.71, 7.73, 7.75, 7.77, 7.80.

Study for Quiz 4, which covers §6.2 – 6.4, §7.1 – §7.3.

HW6

Due 04/05

03/15

No Assignment Today. Enjoy Your Spring Break!

03/27

Section §8.2: 8.69, 8.74, 8.77, 8.91, 8.93, 8.99.

Minitab Guide:

  • To obtain a z-interval, use Stat => Basic statistics => 1-Sample z. Make sure to check the Options button to adjust confidence levels, etc.

03/29

Section §8.2: 8.79, 8.81, 8.85, 8.89.

Section §8.3: 8.129, 8.131, 8.133, 8.135, 8.141.

Minitab Guide:

  • To obtain a t-interval, use Stat => Basic statistics => 1-Sample t. Make sure to check the Options button to adjust confidence levels, etc.

04/03

Study for Test 2, please follow the study guide in OAKS to study for Test 2!

HW7

Due 04/19

 

04/10

Section §9.1: 9.15, 9.17, 9.19, 9.21, 9.23, 9.25, 9.27, 9.29.

 

Extra Credit Assignment (A bonus point to be added to your overall grade):

  • Use separate papers to re-do ALL problems in Test 1 & Test 2 (not just the ones you did wrong). Please show your work and submit it to the Dropbox folder in OAKS by the day of the Final. This assignment is optional but highly recommended.

04/12

Section §9.4: 9.83, 9.85, 9.87, 9.90, 9.91, 9.93.
Please use the p-value approach for all hypothesis test problems.

Minitab Guide:

  • To perform the z-test procedure, choose Stat => Basic statistics => 1-Sample z. Make sure to check the Options button to adjust the alternative hypothesis.

04/17

Section §9.3: 9.53, 9.55, 9.57, 9.61.

Section §9.5: 9.113, 9.115, 9.117, 9.120, 9.123.

Please use the p-value approach for all hypothesis test problems.

 

Please complete Quiz 5 (in OAKS) before the class on Thursday 04/19.

 

Minitab Guide:

  • To perform the t-test procedure, choose Stat => Basic statistics => 1-Sample t. Make sure to check the Options button to adjust the alternative hypothesis.

 


Course Materials and Grades

      Please view/download course materials, such as lecture slides, solutions, study guides, etc., under the Content menu in OAKS.

      Please check your grades under the Grades menu in OAKS.


Project

      You’ll earn up to 5 bonus points after completing the project.

      Detailed information and instruction will be posted in OAKS.


Supplementary Materials

1.      Poker Probability from Wikipedia

2.      Java Applet: Sampling Distribution