MAT-183 Objectives

MAT-183  Statistics I/Lab

Upon completion the student will be able to:

Unit 1

  • 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
  • Use statistical software to generate random samples
  • Use statistical software to draw bar graphs, line graphs, circle graphs, and histograms

Unit 2

  • 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
  • Use statistical software to produce descriptive statistics

Unit 3

  • 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

Unit 4

  • 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
  • Use statistical software to generate binomial probability distributions
  • Use statistical software to solve problems using a binomial distribution

Unit 5

  • 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
  • Use statistical software to solve problems using a normal distribution

Unit 6

  • 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

Unit 7

  • 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)
  • Use statistical software to produce confidence intervals for m

Unit 8

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

Unit 9

  • 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

Unit 10

  • 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
  • Use statistical software to determine the least squares regression line and linear correlation coefficient

Unit 11

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