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- Differentiate between descriptive and inferential statistics
- Identify types of data
- Identify the measurement level of a variable
- Identify basic sampling techniques
- Organize data using frequency distributions
- Represent frequency distributions graphically
- Represent data using bar graphs, time plots, and circle graphs

- Summarize data using mean, median, and mode
- Describe data using range, variance, and standard deviation
- Identify the position of a data point by using percentiles and standard scores
- Produce stem and leaf displays and box and whisker plots

- Determine the number of possible outcomes using a tree diagram
- Find the total number of possible outcomes using the multiplication rule
- Calculate the number of permutations of n things taken r at a time
- Calculate the number of combinations of n things taken r at a time
- Determine sample spaces
- Find the probability of an event using relative frequencies
- Find the probability of a compound event
- Find the conditional probability of an event

- Construct a probability distribution for a discrete random variable
- Find the expected value and standard deviation for a discrete random variable
- Calculate binomial probabilities
- Find the mean and standard deviation for a binomial distribution

- Identify the properties of a normal distribution
- Find the area under the standard normal distribution for various intervals
- Transform a normally distributed random variable into a standard normal variable
- Find specific data values for given areas under a normal distribution

- State the Central Limit Theorem
- Use the Central Limit Theorem to solve problems involving the distribution of the sample mean for large samples
- Use the normal distribution to approximate probabilities for a binomial

- Distinguish between point estimates and interval estimates
- Find the confidence interval for m using a large sample
- Find the confidence interval for m using a small sample
- Find the confidence interval for the binomial proportion p
- Determine the minimum sample size for estimating m to within a specified margin of error
- Determine the minimum sample size for estimating p to within a specified margin of error (with and without prior information)

- Structure a classical test of hypothesis
- Test means for one-sample (using large and small samples)
- Test for a proportion

- Test the difference between means for dependent samples
- Test for the difference between means for two independent samples (large or small)
- Test for the difference between two proportions

- Draw a scatter diagram
- Find the equation of the least squares regression line
- Use the least squares regression line to produce point estimates
- Compute the standard error of the estimate
- Find the confidence interval for the dependent variable
- Compute the linear correlation coefficient
- Test for a significant linear correlation
- Compute the coefficient of determination

- Test two variables for independence using chi-square
- Test a distribution for goodness of fit using chi-square

Y. Venkat Rao

Department Chair, Mathematics

Phone: 617-228-2269

yrao@bhcc.mass.edu