Weds office hours and z-alpha values

I will have office hours from 1-3pm on Weds.

There has been some confusion about what z values to use when applying a hypothesis test for a mean with a known variance. In this situation, the hypothesis is rejected if the test statistic satisfies
|z_0| > z(alpha/2)
where z(alpha/2) is given in the table below for the most common significance levels (alpha).

alpha       z(alpha/2)
0.10         1.645
0.05         1.96
0.01         2.58
0.005       2.81
0.002       3.08

This information will not be included on the statistics tables that will be handed out as part of the fnial exam, but you may choose to include it on your one page formula sheet.

Final exam info and Monday exercise

For the final exam, you may bring a formula sheet written in hand on one side of a standard sheet of paper. This is the same format as the earlier exams in this course.

Today's exercise continues the baseball theme from last week:
To date, the Atlanta Braves record at home this year is 27 wins and 24 losses. For away games, their record is 30 wins and 20 losses. Test the hypothesis that the Braves winning percentage for home and away games is identical.

Thursday exercise

Tha Atlanta Braves have (so far) won 54 games and lost 44 games in the 2012 baseball season. Treat each game as a data point and determine an interval estimate for the fraction of their games that the Braves will win this season.
In a similar vein, use a hypothesis test to assess whether the winning percentages of the Braves and their division rivals the Washington Nationals are statistically different. To date, the Nationals have won 58 games and lost 39.
More information on MLB win/loss records is here:
http://mlb.mlb.com/mlb/standings/index.jsp?tcid=mm_mlb_standings

Days until final exam: 7

Instructor and TA surveys

Please take a few minutes to complete the course survey and TA survey. Access to the GT survey system is available here: http://www.cetl.gatech.edu/cios

Information from these surveys is very helpful to improve future versions of the course. Your feedback on positive aspects of the course and areas that you think could be improved is welcome.

Summary of activities remaining in the class

Here is a summary of the activities left in the remainder of the semester:

Tuesday 7/24 and Thursday 7/26: Final week of class meetings. Kelly will be giving these lectures. Prof. Sholl will not have office hours because he will be attending a conference.

Reading material for these lectures:

All readings for these lectures are from Chapra and Canale

Pt 6.1 and Pt. 6.2 Motivation and Mathematical Background
Chapter 21, skipping 21.2.3 to the end of the chapter
22.2.1 Richardson’s Extrapolation
22.4.1 and 22.4.2 Gauss Quadrature
4.1.3 Numerical Differentiation
23.1 High-accuracy Differentiation Formulae

Thursday 7/26: Homework 8 due by 5pm

Review Session: Monday 7/30 10am in EST L1255. This is an optional activity. Prof. Sholl will answer questions about the sample exam problems that will be distributed next week.

FINAL EXAM: Thursday 8/2m 2:50-5:40pm

Wednesday exercise

The equipment cost estimates given in Seider, Seader, and Lewin are not given in 2012 dollars. Give an example of adjusting a cost estimate from this source to today's values.

Days until exam 3: 1
Days until final exam: 15

Tuesday exercise

Approximate exp(1.8) in four different ways:
(a) Using the first three terms of a Taylor series expanded around 1;
(b) Using the first three terms of a Taylor series expanded around 2;
(c) Using linear interpolation with data at 1 and 2;
(d) Using linear regression with data at 0, 0.5, 1, 1.5, 2, and 2.5.
Before you do any calculations, predict which method you think will be the most accurate.

Days until exam 3: 2
Days until final exam: 16