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Spring 2010, Math 127B, Sections 01 — 03.

Probability and Statistical Inference II.

Contact Information

• Professor Mrinal Raghupathi
• 1523 Stevenson Center
• Email: firstname [dot] lastname [at] universityname [dot] edu
• Office hours: Monday, Tuesday, Wednesday: 5:15 pm -- 6:30 pm
• Syllabus

Teaching Assistants

Name	Section	Recitation	Office Hours
Logan Altman	03	R 2:10 am, SC 1214	M 10 am — 12 noon, 1313 Stevenson
Nancy Gunzenhauser	01	R 12:10 pm, SC 1210	M 10 am — 12 noon, 1313 Stevenson
Meghan McWilliams	02	R 8:35 am, SC 1120	M 10 am — 12 noon, 1313 Stevenson

Lecture schedule

The schedule below indicates the topics that are covered in the lecture. The corresponding sections in the book are also given (in parentheses). The problems listed are for practice, and for discussion during the recitation. The problems that must be submitted for grading are indicated in the homework section. The comments column will include a reminder of homework deadlines and review sessions.

The schedule is updated about twice a week, sometimes more often.

Date	Topic	Problems	Comments
January 13th, 2010	Review of statistics: frequency tables, numerical summaries, frequency plots and histograms.
January 18th, 2010	The normal distribution (7.1, 7.2).	7.1: 17, 18, 19 -- 22, 26, 28, 30, 31, 36. 7.2: 6 -- 16 (even), 22, 24, 28, 32, 36, 38, 44, 46, 50.
January 20th, 2010	The normal distribution (7.2, 7.3).	7.3: 4 -- 12 (even), 18, 20, 24, 28.	Homework 1 is due in recitation on Thursday, January 21st, 2010.
January 25th, 2010	Applications of the normal distribution (7.3) and an introduction to sampling.
January 27th, 2010	The sampling distribution (8.1).	8.1: 12, 14, 16, 20, 24, 25, 34.	Homework 2 is due in recitation on Thursday, January 28th, 2010.
February 1st, 2010	The sampling distribution (8.1).
February 3rd, 2010	The sampling distribution (8.1).		Homework 3 has been postponed to due in the recitation on Thursday, February 4th, 2010.
February 8th, 2010	The sampling distribution of proportion (8.2).	8.2: 7 — 14, 17, 18, 20, 22.
February 10th, 2010	Confidence intervals (9.1).	9.1: 13 — 16, 17 — 20, 21, 24, 25, 33, 42.	Homework 4 postponed to Thursday, February 18th, 2010.
February 15th, 2010	Confidence intervals for the sampling mean (9.1).
February 17th, 2010	Confidence intervals for the t-statistic (9.2).	9.2: 7, 9, 12, 15, 24, 34.	Homework 4 is due in recitation on Thursday, February 18th, 2010.
February 19th, 2010	Review for Exam 1		Bring questions and doubts.
February 22nd, 2010	Exam 1
February 24th, 2010	Confidence intervals for proportion and standard deviation. (9.3, 9.4)	9.3: 11 — 14, 17, 20, 21. 9.4: 5 — 9, 12.
March 1st, 2010	Hypothesis testing (10.1, 10.2).	10.1: 9, 11, 14, 15, 17, 20, 22, 35, 38. 10.2: 11, 12, 13, 18, 19, 22, 35.
March 3rd, 2010	Hypothesis testing (10.1, 10.2).
March 15th, 2010	Review
March 17th, 2010	The US Census discussion		We will continue with normal activities next week.
March 22nd, 2010	Hypothesis tests for population mean (10,3)	10.3: 5, 7, 14 — 16, 19.
March 24th, 2010	Hypothesis tests for the population proportion (10.4)	10.4: 5, 8, 9, 12, 16, 18, 23, 24, 25.	I recommend a book and some software for you to download. You can find links below.
March 29th, 2010	Difference of means (11.1, 11.2)	11.1: 7, 8, 11, 12, 18, 20. 11.2: 3, 5, 6, 11, 16.
March 31st, 2010	Difference of the mean and proportion (11.2)	See problems from March 29.
April 5th, 2010	Exam 2
April 7th, 2010	Difference of proportions (11.3)	11.3: 5, 7, 9, 11, 14, 15, 18.
April 12th, 2010	Goodness-of-fit tests (12.1)	12.1: 5, 8, 11, 16, 19.
April 14th, 2010	Chi-squre tests
April 19th, 2010	Review of sampling and confidence intervals		See review notes part I under final exam below.
April 21st, 2010	Review of hypothesis tests		See review notes part II under final exam below
April 26th, 2010	Review for final exam
May 1st, 2010	Alternate final exam
May 6th, 2010	Final exam

Sources of information

• R is a very powerful piece of statistical software. It has been used widely at universities, in medical research and in industry.
  • R Website
  • Download the software. It's available for Linux, Mac, and PC.
• The Drunkard's walk by Leonard Mlodinow. This popular science book gives an excellent introduction to probability and statistics. It presents the history of the subject, mentions common fallacies and ends on a rather philosophical note. Amazon | Google books
• US Census data is available at http://www.census.gov/
• The Visual Display of Quantitative Information, by Edward R. Tufte. This is a beautiful book. Filled with information about graphic design in relation to the presentation of statistical data. Amazon | Google books
• How big is one trillion? In order to understand data, we need a sense of the relative size of numbers. This is why a percentage (which is always out of 100) is easier to relate to, and easier to comprehend, than an actual data value. Here is a link to the BBC news website, where they demonstrate the relative sizes of one, one thousand, one million, one billion and one trillion. The page is designed to help people understand the size of the budget deficit; I think it also helps us understand the relative size of numbers. It's fun to search for the places mentioned (they are primarily in Manchester, England) on google maps so that you can see for yourself how large they are.

This page was last updated at 5:40 pm, April 22nd, 2010.