Math 160 K

Fall 2009

Exam 4 Review

Disclaimer: I have attempted to be comprehensive in the following, but important items may have been omitted by mistake. If you see such an omission, please let me know, but you are responsible for all of the lecture material to date.

The fourth hour exam for Math 160 will be held on Friday, December 4, and will cover chapters 5 and 6 (through 6.2) of the textbook.  In particular, be prepared to:

• Be able to define the sampling distribution of a statistic and the population distribution of a random variable.
• Be able to describe and use the binomial distribution.
• Be able to use Table C and the bottom portion of Table D
• Know the binomial mean and standard deviation.
• Know and be able to use the mean and standard deviation of a sample proportion.
• Know the normal approximation for counts and proportions and the under which this approximation may be used.
• Know the sample distribution of a sample mean (mean and standard deviation)
• Be able to state and use the Central Limit Theorem.
• Be able to define, develop, and interpret confidence intervals.
• Be able to define and determine the margin of error, and the relation between sample sizes and the margin of error.
• Be able to state null and alternate hypotheses and say what these are.
• Be able to define and use a z-test.
• Be able to define and calculate P-values and to use them to determine whether or not to reject a null hypothesis
• Be able to give a careful definition of "statistically significant at level α".

Any questions? Please ask!