## Colorado State University, Pueblo; Fall 2015 Math 156 — Introduction to Statistics, Section 3 Course Schedule & Homework Assignments

Here is a link back to the course syllabus/policy page.

This schedule is will be changing very frequently, please check it at least every class day, and before starting work on any assignment (in case the content of the assignment has changed).

In the following all reading assignments, sections, and page numbers refer to the required course textbook, The Basic Practice of Statistics, 7th ed., by Moore, Notz, and Fligner, unless otherwise specified.

If you see the symbol below, it means that class was videoed and you can get a link by e-mailing me. Note that if you know ahead of time that you will miss a class, you should tell me and I will be sure to video that day for you.

Homework for a particular day is due that day, either in class or handed in at my office by 3pm.

#### Week 1

• :
• A lot of bureaucracy and introductions.
• Read the course syllabus and policy page.
• HW0 Send me e-mail (at jonathan@poritz.net) telling me:
2. Your e-mail address. (Please give me one that you actually check fairly frequently, since I may use it to contact you during the term.)
4. What you intend to do after CSUP, in so far as you have an idea.
5. Past math classes you've had.
6. The reason you are taking this course.
9. Anything else you think I should know (disabilities, employment or other things that take a lot of time, etc.).
10. [Optional:] The name of a good book you have read recently.
Please do this some time Monday. But as some direct incentive: I will only enter your name into my gradebook and give you your Homework Late Passes when I get this e-mail, so you really need to do this assignment as soon as possible. [By the way, just to be fair, in case you are interested, here is a version of such a self-introductory e-mail with information as I would fill it out for myself.]
• Some content we discussed, terms defined:
• individuals
• variables, categorical and quantitative
• :
• Read Chapters 0 and 1
• Some content we discussed, terms defined:
• graphs for categorical variables:
• bar charts
• pie charts
• frequency
• relative frequency
• graphs for a quantitative variables:
• a stem-and-leaf plot
• the main such graph: a histogram
• shape
• left- or right-skewed
• symmetric
• :
• Some content we discussed, terms defined:
• distribution
• center [="middle"]
• mean [="average"]
• median
• mode
• Quiz 1 today
• Hand in HW1: 1.{26, 34, 40}
• Today [Friday] is the last day to add classes.

#### Week 10

• :
• Some content we discussed, terms defined:
• standard deviation of the statistic $\overline{x}$ is $\sigma/\sqrt{n}$ for SRSes of size $n$
• if samples are SRSes taken from a Normally distributed population then $\overline{x}$ is also Normally distributed
• The Central Limit Theorem: as $n$ gets large, the distribution of $\overline{x}$, if the samples are SRSes, gets closer and closer to $N(\mu,\sigma/\sqrt{n})$
• Hand in ASE9, which is another special one: Please find some discussion of probability (might be called "chance" or "likelihood") in a book, article, or website. This should be fairly complete discussion of the probability of something, maybe with a conclusion to be drawn from that probability (e.g., "Don't take statistics in college, there's an 87% chance you'll end up loving it so much you will switch majors to math"). On this ASE (and only on this ASE), then, skip the usual parts, but instead have:
• a complete reference to the source you are analyzing
• a complete description of the probability calculation they are using: what is the sample space, probability model, any assumptions about independence, conditional probability (maybe not called exactly that, but there anyway), etc.
• a critique of the model: is it a reasonable description of the real-world phenomenon under discussion, and is it put together in a mathematically reasonable way (e.g., can you suggest any corrections/improvements...)
• :
• Some content we discussed, terms defined:
• confidence interval, its confidence level
• formulæ for the confidence interval for a population mean when the population standard deviation $\sigma$ is known
• the critical value $z^*$
• Hand in HW10: 15.{24, 26, 28, 30}
• :
• Some content we discussed, terms defined:
• being able to explain the meaning of the confidence level of a confidence interval which, oddly, tells us nothing about the particular interval reported but instead about the method used to create those kinds of intervals
• the margine of error [MoE] of a confidence interval
• response of the MoE to changing the confidence level, population standard deviation, or sample size
• Quiz 8 today.

#### Week 13

• :
• Test III post-mortem.
• :
• Some content we discussed, terms defined:
• using the $t$-distribution table (or function in the calculator): degrees of freedom
• standard error
• confidence intervals using the $t$-distribution, for the population mean when the population standard deviation is unknown
• Hand in Test III revisions, if you like.
• :
• Some content we discussed, terms defined:
• tests of significance for the population mean when the population standard deviation is unknown: the $t$-test, which uses the $t$-statistic
• doing confidence intervals or tests of significance in matched pairs experimental designs

#### Week 14

• Thanksgiving Break! No classes, of course.

#### Week 15

• :
• Some content we discussed, terms defined:
• sample proportion is usually denoted $\hat{p}$
• when $n$ is large and the samples are SRSes, $\hat{p}$ is approximately $N\left(p,\sqrt{p(1-p)/n}\right)$
• confidence intervals for the population proportion
• Hand in HW14: 20.{24, 26, 28, 40, 44} [you may hand this homework in on Tuesday this week, in case you didn't finish it over Thanksgiving Break, and it will not count as late ... but don't delay more than that, there is more material coming up!]
• :
• Some content we discussed, terms defined:
• how big a sample to take to achieve confidence interval for the population proportion with some desired MoE
• the test statistic for tests of significance about the population proportion
• the plus four confidence interval
• Hand in ASE12 — subject of your choice (but be careful and complete)!
• :
• Review for final exam. See this review sheet.
• Hand in HW15: 22.{8, 26, 38, 44}
• Today is the last day to hand in any late work, even with Homework Late Passes.
Please also hand in any unused Homework Late Passes you have left, for course extra credit.