# MAT-181 Objectives

## MAT-181 Statistics I

### Unit 1

1. Differentiate between descriptive and inferential statistics
2. Identify types of data
3. Identify the measurement level of a variable
4. Identify basic sampling techniques
5. Organize data using frequency distributions
6. Represent frequency distributions graphically
7. Represent data using bar graphs, time plots, and circle graphs

### Unit 2

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

### Unit 3

1. Determine the number of possible outcomes using a tree diagram
2. Find the total number of possible outcomes using the multiplication rule
3. Calculate the number of permutations of n things taken r at a time
4. Calculate the number of combinations of n things taken r at a time
5. Determine sample spaces
6. Find the probability of an event using relative frequencies
7. Find the probability of a compound event
8. Find the conditional probability of an event

### Unit 4

1. Construct a probability distribution for a discrete random variable
2. Find the expected value and standard deviation for a discrete random variable
3. Calculate binomial probabilities
4. Find the mean and standard deviation for a binomial distribution

### Unit 5

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

### Unit 6

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

### Unit 7

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

### Unit 8

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

### Unit 9

1. Test the difference between means for dependent samples
2. Test for the difference between means for two independent samples (large or small)
3. Test for the difference between two proportions

### Unit 10

1. Draw a scatter diagram
2. Find the equation of the least squares regression line
3. Use the least squares regression line to produce point estimates
4. Compute the standard error of the estimate
5. Find the confidence interval for the dependent variable
6. Compute the linear correlation coefficient
7. Test for a significant linear correlation
8. Compute the coefficient of determination

### Unit 11

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