Announcement: The due date for Project 1 has been changed to Wednesday, 30 September 2009.
Today, the class completed Test 1. I will have the tests graded by Monday and they will be returned at the end of class on Monday.
Wednesday, 23 September 2009
September 23, 2009Wednesday, 16 September 2009
September 16, 2009Some important announcements:
- Quiz on Monday covering any topic discussed so far in the course.
- Test 1 will be on Wednesday, 23 September 2009 and will cover Chapters 1, 2, 3, 4.
- Project 1 is due on 28 September 2009.
Today, we finished Chapter 3. We described how to determine if a set of data is normally distributed (i.e., bell-shape) using the NRMHST program (see http://stats.jjw3.com/math1431/ti83normHist.htm) on the TI83/84. We completed three examples using the 68-95-99.7 Rule (a.k.a., the Empirical Rule) in calculating the percent of data within a normally distributed set of data. Lastly, we calculated a z-score and discussed the interpretation of the z-score.
Here are some TI83/84 calculator instructions for Chapter 4 material we will start using on Monday:
How to find the 2–variable statistics: http://stats.jjw3.com/math1431/ti83twoVar.htm
How to calculate the correlation coefficient, r: http://stats.jjw3.com/math1431/ti83corCoeff.htm
How to find the least squares regression line: http://stats.jjw3.com/math1431/ti83lsq.htm
The next homework (usually due every Monday) will be collected on test day – so you can study from the assignment. This assignment will include the following:
Section 3.2: # 33abce, 35 – 41 odd;
Section 3.4: # 7*, 9*, 15–21** odd;
Section 3.5: #1, 3, 4, 5–11 odd.
* The more extereme relative measure is the larger postive (or more negative) z-score
** The ’fences’ are the values Q1-1.5(IQR) and Q3+1.5(IQR)
NOTE: Remember that all graphs must be on graph paper and properly labeled and titled.
Monday, 14 Septemer 2009
September 14, 2009Some important announcements:
- Quiz on Wednesday covering the topics discussed today.
- Test 1 will be on Wednesday, 23 September 2009 and will cover Chapters 1, 2, 3, 4.
Today, we finished most of Chapter 3. This includes how to construct a boxplot (a.k.a., box-n-whiskers plot). See http://stats.jjw3.com/math1431/ti83box.htm for instructions how to graph a boxplot on the TI83/84. Note that when you trace along the boxplot, you will find that the boxplot is defined by the five-number summary. We also discussed a definition for outliers (see p. 161 of the text for the definition) and how the modified boxplot on the TI83/84 will show outliers using this same definition. Lastly, we discussed z-scores (see p. 150 of text for definition) and the interpretation of the z-score.
Here are some TI83/84 calculator instructions for Chapter 3 material we will be using on Wedensday:
How to plot a histogram with a normal curve: http://stats.jjw3.com/math1431/ti83normHist.htm
Here are some TI83/84 calculator instructions for Chapter 4 material we will start using on Wedensday Monday:
How to find the 2–variable statistics: http://stats.jjw3.com/math1431/ti83twoVar.htm
How to calculate the correlation coefficient, r: http://stats.jjw3.com/math1431/ti83corCoeff.htm
How to find the least squares regression line: http://stats.jjw3.com/math1431/ti83lsq.htm
The next homework (usually due every Monday) will be collected during test day – so you can study from the assignment. This assignment will include at least the following:
Section 3.2*: # 33 – 41 odd;
Section 3.4: # 7, 9, 15–21 odd;
Section 3.5: #1, 3, 4, 5–11 odd;
Section 4.1: TBD;
Section 4.2: TBD;
Section 4.3: TBD.
* We will talk about the Empirical Rule on Wednesday.
** Remember that all graphs must be on graph paper and properly labeled and titled.
Wednesday, 9 September 2009
September 9, 2009Important announcement: Test 1 will be postponed to a later date.
Today, we covered Section 3.1, part of Section 3.2 and part of Section 3.5. In Section 3.1, we discussed two measures of center (what the measure of center means, how to use TI83/84 to calculate each measure, which measure is a resistant measure, why it is a resistant measure and which measure to use in a given situation and why). In Section 3.2, we discussed several measures of spread or dispersion (what the measure of spread means, how to use TI83/84 to calculate each measure, which measure(s) are resistant measure(s), why it is a resistant measure and which measure to use in a given situation and why). Lastly, in Section 3.5, we showed the 5-number summary (how to use TI83/84 to calculate the 5-number summary).
How to find measures of center and measures of spread on TI83/84: http://stats.jjw3.com/math1431/ti83sum.htm.
The next homework assignment is due on Monday, 14 September 2009 and includes the following:
- Section 3.1*, **: # 1 – 39 odd;
- Section 3.2**: # 3, 7, 11 – 31 odd.
*You do not need to calculate mode for any question.
**Make sure that when you find a sample that you show the required work. Also, keep in mind when you are working with a population (use the parameter) vs. sample (use the statistic).
In the next class, we will be finishing most of Sections 3.2, 3.4 and 3.5. We will use the TI83/84 calculators for additional work. In case you want to view the instructions prior to class, here they are:
How to make a boxplot: http://stats.jjw3.com/math1431/ti83box.htm
How to plot a histogram with a normal curve: http://stats.jjw3.com/math1431/ti83normHist.htm
How to find the area under a normal curve: http://stats.jjw3.com/math1431/ti83norm.htm
How to find the z-score given the area under a normal curve: http://stats.jjw3.com/math1431/ti83invNorm.htm
How to find and graph the area under a normal curve: http://stats.jjw3.com/math1431/ti83normArea.htm
Finally, the quiz on Monday, 14 September will be on measures of center and/or measures of spread.
Wednesday, 2 September 2009
September 2, 2009If you have not already done so, please complete and submit the form from the bottom of the syllabus.
There is no class on Monday, 7 September 2009. I hope you an enjoyable and safe Labor Day Weekend.
We completed an example of a histogram, an example of a stemplot (a.k.a., stem-n-leaf plot from Section 2.1) and an example of a back-to-back stemplot both by hand and using the TI83/84.
See http://stats.jjw3.com/math1431/ti83stem.htm for instructions on using the TI83/84 to construct a stemplot.
See http://stats.jjw3.com/math1431/ti83hist.htm for instructions on using the TI83/84 to construct a histogram.
You should know the difference between a histogram and a bar graph. You should know how to change the start value and the class width (see the TI83/84 instruction pages above). Lastly, you should be able to describe the histogram or stemplot: shape, peaks, skewness, possible outliers (see p. 80 of your text).
Quiz #4 will be on Wednesday, 9 September and will consist of graphing either qualitative data (Section 2.1) or quantitative data (Section 2.2).
Homework #3 is due on Wednesday, 9 September and will consist of the following:
Section 2.1: #1–15 odd, 17acd, 19ade, 21acd, 25c, 27a
Section 2.2: #1-21 odd, 27, 29, 31
All graphs must be on graph paper. Also, make sure that all appropriate labels are shown.
Finally, Project 1 has been posted: http://stats.jjw3.com/math1431Fa09Proj1.htm. If you have any questions, please do not hesitate to contact me.
Monday, 31 August 2009
September 1, 2009If you have not already done so, please complete and submit the form from the bottom of the syllabus.
Quiz 3 will be on Wednesday, 2 September and will cover anything we discussed so far in the course.
We completed another example of a bar graph using frequencies and a bar graph using relative frequencies (Section 2.1).
Homework # 3 is due on Wednesday, 9 September [there is no class on Monday, 7 September 
] and will consist of the following:
Section 2.1: #1–15 odd, 17acd, 19ade, 21acd, 25c, 27a
All graphs must be on graph paper. Also, make sure that all appropriate labels are shown.
Today, we also discussed histograms (Section 2.2) and how to use the calculator to help sketch the histogram. You should know the difference between a histogram and a bar graph. On Wednesday, we will finish the histogram example that was started in today’s class. Also on Wednesday, we will complete another example of a histogram and do examples of a stemplot and timeplot. If we have time, we will start section 3.1.
Here are the links to the TI83/84 calculator instructions for constructing graphs of quantitative data:
How to Enter Data into Lists: http://stats.jjw3.com/math1431/ti83list.htm
How to Make a Histogram: http://stats.jjw3.com/math1431/ti83hist.htm
How to Make a Stemplot: http://stats.jjw3.com/math1431/ti83stem.htm
How to Make a Timeplot: http://stats.jjw3.com/math1431/ti83time.htm
Finally, Project 1 has been posted: http://stats.jjw3.com/math1431Fa09Proj1.htm. We talked about this in some detail in the class today. If you have any questions, please do not hesitate to ask.
Wednesday, 26 August 2009
August 26, 2009If you have not already done so, please complete and submit the form from the bottom of the syllabus.
Quiz 3 will be on Monday, 31 August and will cover anything we discussed so far in the course.
Homework 2 is due on Monday, 31 August and consists of:
Section 1.5: # 5, 7, 8, 21
Section 2.3: # 1, 5a, 8
You should be able to start working on the questions from Section 2.1, but I will not collect Section 2.1 until Homework 3.
Today, we completed an experimental design (Section 1.5) by considering the Stroop Effect (if you are interested see http://psychclassics.yorku.ca/Stroop/ for the original research article describing this effect. If you are interested in learning more about the Stroop Effect, there are many websites that describe it). You are not required to know anything about the actual Stroop Effect for this class, we used it only to introduce Experiments. We also discussed other different designs in class.
We graphed qualitative data using a bar graph (Section 2.1). On Monday, we will complete two more examples of graphing qualitative data so bring in graph paper (see http://www.printfreegraphpaper.com/). When we constructed the bar graph, I mentioned important things to consider when constructing a graph (Section 2.3; see p. 95 of the text) and why some graphs are misleading.
On Monday, not only will we do two more examples of bar graphs from Section 2.1, and we will graph quantitative data (Section 2.2). We will also need to graph the quantitative data on graph paper. We will use the TI83/84 to assist us with the graphing of quantitative data. Here are the TI83/84 instructions that we will be using on Monday (in case you want to review them prior to class):
How to Enter Data into Lists: http://stats.jjw3.com/math1431/ti83list.htm
How to Make a Histogram: http://stats.jjw3.com/math1431/ti83hist.htm
How to Make a Stemplot: http://stats.jjw3.com/math1431/ti83stem.htm
How to Make a Timeplot: http://stats.jjw3.com/math1431/ti83time.htm
Lastly, if you email me from a non-GPC email account, please tell me who you are. Thanks.
Remember, I check my email often in the evenings and on weekends, so please email me if you have any questions.
MyMathLab Access
August 24, 2009The Math Department has set up a Math 1431 iCollege Section that will provide you access to MyMathLab, if you are interested. MyMathLab access is not required for my course. The Student Open Access section that is available for Math 1431 will have the following resources (does not include homework – that is you will not be able to submit homework through MyMathLab):
These courses contain
1. Links to the ebook (multi-media in all cases except Harshbarger)
2. Links to video lectures (my video lectures are available for Harshbarger since the book doesn’t have any)
3. Links to the MyMathLab Study Plan where students can practice, practice, practice
4. Links to both the GPC LTCs and to the Pearson Tutor Center
5. Other valuable college resources such as Academic Advising, Student Success Backpack, tech support, etc.
6. Students have links to tech within.
You will need to request access using the form located at: http://facstaff.gpc.edu/~shouse/request_access.htm. Make sure that you select the Math Course Number as 1431. The Student Open Access section requires a MyMathLab Access Code (buying options are located at http://www.gpc.edu/icollege/mml_help.html#stu). You may have already purchased the textbook bundled with the MyMathLab Access Code. If you have used MyMathLab before and believe you are eligible for a replacement code, click http://www.mathxl.com/support/georgia.htm.
You should expect your request to be completed in about 48 hours.
Monday, 24 August 2009
August 24, 2009Today, we practiced simple random sampling, systematic sampling and stratified sampling. Keep in mind, if you are sampling from a population in which you know the individual names, then your sample should be a list of the names. Also, make sure that you explicitly label the population and show the work [e.g., randInt(1, 12,1)={9}].
Today we started with some basic concepts of statistical experiments from Section 1.5. We will finish discussing experimental design in the next class. Also, next time we will start a discussion on Sections 2.1 and 2.3.
There will be a quiz on Wednesday on either finding a stratified sample or a systematic sample. Please bring in a TI83/84 calculator to help you with the quiz. Remember, according to Math Department policy, you cannot share calculators during a quiz or test.
Lastly, the first homework assignment is due on Wednesday. See the previous post (http://math1431sect160.wordpress.com/2009/08/19/wednesday-19-august-2009/) for the actual assignment that is due. I have made one change in the assignment.
Please complete the form on the bottom of the syllabus and submit a.s.a.p.
If you have any questions as you work on the assignment, please see me during office hours or email me.
Wednesday, 19 August 2009
August 19, 2009Today we spent time discussing the various types of sampling (i.e., selecting a part of the total population) from Sections 1.2 and 1.3. One of the keys for sampling is to make sure that the sample has characteristics that are similar to the population. Keep in mind we use the sample to make some conlusion about the entire population.
n is the variable used for sample size; N is the variable used for population size.
The various sampling methods include:
Simple Random Sample (SRS): For TI83/84 instructions see http://stats.jjw3.com/math1431/ti83srs.htm. This sampling method is the only true random sample that we are considering. Question for you to consider (and we discussed thi in class): Why is an SRS a random sample whereas the other methods not a random sample? Lastly, keep in mind that we don’t want to select the same person more than once for a particular sample.
Stratified Sample: Where the population is separated into different groups based on some characteristic. One very important idea is to select a sample with the same proportions of the desired characteristic as noted in the population. We used gender in the example in class. Our population had 31 males and 46 females. The proportion of males is 31/(31 + 46) or 31/77 = 0.4026. In class, we wanted to find a sample with n = 9. So, we need to make sure that the sample has the same proportion of males (i.e., 40.26%) as the population. To find the number of males, take the sample size and multiply by the proportion of males: 9 × 0.4026 = 3.62 which we round up to 4 males. We then need 5 females. We use randInt on the Ti83/84 to randomly select the 4 males from the group of males and randomly select 5 females from the group of females.
Systematic Sample: See the steps on p.26 of the text. Keep in mind that you need to round down in step 3 no matter what the decimal value is. In class, we had a population of size N = 77 and wanted a systematic sample of size n = 6. When we divided 77 by 6, the result was 12.8. We round this down to 12! Then we used randInt to randomly select 1 person from the first 12 that were labeled. Let’s assume that the randInt program resulted in 9. Then to find the systematic sample we keep adding 12 to find the additional individuals. In other words, those labeled with 9, 21 (i.e., 9 + 12), 33 (i.e., 21 + 12), 45 (i.e., 33 + 12), 57 (i.e., 45 + 12), 69 (i.e., 57 + 12) are in the systematic sample.
Cluster Sample: For example, using one campus of GPC as a sample of the entire population of GPC.
Convenient Sample: For example, volunteers.
Multistage Sample: Using more than one sampling method.
At this point, you should be able to complete the following homework assignments (due Wednesday, 26 August 2009):
Section 1.1: # 1, 3, 5, 9-37 odd
Section 1.4: # 11-23 odd, [29 deleted]
Section 1.2: # 1-15 odd, 21b (use randInt in TI83/84 and ‘show work’ and list the states in your sample), 25a
Section 1.3: # 1-21 odd, additionally, 23 (show work as described in class).
If you have any questions, please do not hesitate to email me.
Quiz # 1 on Monday, 24 August 2009 and will cover the topics discussed in class from Sections 1.1 and 1.4.
