Unit or Topic Skills

Chapter 1

I can:

• Recognize the difference between quantitative and qualitative variables and understand the different levels of measurement (nominal, ordinal, interval, ratio)

• Be able to successfully create a simple random sample from a large population and understand the differences between a simple random sample, stratified random sample, systematic sample, and cluster sample.

• Distinguish the differences of the following experimental designs (completely randomized design, block design, matched pairs design, and rigorously controlled design), and understand the differences between sampling errors and non-sampling errors.

Chapter 2

I can:

• Create a visual representation of a data set using frequency tables, histograms, stem-and-leaf plots, pie charts, and boxplots (both by hand and through the use of technology). 

Chapter 3

I can:

• Calculate and interpret three measures of center (mean, median, mode), three measures of variation (range, standard deviation, interquartile range), and two measures of position (percentiles, z-scores).

• Identify and understand the effect of an outlier on a small sample and know when it is acceptable to remove an outlier from a data set.

Unit or Topic Skills

Chapter 4

I can: 

• Create a least-squares regression line for two variable data, calculate and interpret its correlation coefficient and test the existence of a linear relationship (by either testing the regression slope or correlation coefficient).

Chapter 5

I can:

• Understand the basic rules of probability including the addition rule, multiplication rule, and complement rule.

• Work with the counting principles of factorials, permutations, and combinations and correctly use them to determine the probability of large number events.

Unit or Topic Skills

Chapter 6

I can:

• Calculate a discrete probability (including binomial probability) and determine the mean and standard deviation of both a discrete random variable and a binomial random variable.

Chapter 7

I can:

• Calculate probabilities of a normal random variable using the standard normal probability distribution (i.e. z-table), determine the normality of a sample, understand and apply the central limit theorem, and utilize the normal approximation to the binomial distribution.

Chapter 8

I can:

• Describe the distribution of the sample mean: normal and nonnormal population.

• Describe the sampling distribution of a sample proportion.

• Compute probabilities of a sample proportion.

Chapter 9

I can:

• Create and interpret confidence interval estimates for a population mean with the population standard deviation known and unknown (i.e. the student's t-distribution) and determine the minimum sample size for a desired error.

• Create and interpret confidence interval estimates for a population proportion and determine the minimum sample size for a desired error (with a preliminary point estimate for p known and unknown).

Unit or Topic Skills

Chapter 10 & 11

I can:

• Execute and interpret hypothesis testing for one & two populations (means and proportions) using both the classical approach and p-value approach.

Final Project

I can:

Utilize all learning from the year to carry out a complete statistical study.