Course Number: MS150
Course Title: Statistics

STUDENT LEARNING OUTCOMES

General 

1. Calculate basic statistics (define, calculate)
2. Represent data sets using histograms (define, calculate, estimate, represent)
3. Solve problems using normal curve and t-statistic distributions including confidence intervals for means and hypothesis testing (define, calculate, solve, interpret)
4. Determine and interpret p-values (calculate, interpret)
5. Perform a linear regression and make inferences based on the results (define, calculate, solve, interpret)

Specific 

The students will be able to:

Given one variable data and the use of a calculator or spreadsheet software on a computer

A. Calculate basic statistics

 1. Distinguish between a population and a sample (define)
 2. Distinguish between a statistic and a parameter (define)
 3. Identify different levels of measurement when presented with nominal, ordinal, interval, and ratio data. (define)
 4. Determine a sample size (calculate)
 5. Determine a sample minimum (calculate)
 6. Determine a sample maximum (calculate)
 7. Calculate a sample range (calculate)
 8. Determine a sample mode (calculate)
 9. Determine a sample median (calculate)
10. Calculate a sample mean (calculate)
11. Calculate a sample standard deviation (calculate)
12. Calculate a sample coefficient of variation (calculate)

B. Represent data sets using histograms

 
1. Calculate a class width given a number of desired classes (calculate)
 2. Determine class upper limits based on the sample minimum and class width (calculate)
 3. Calculate the frequencies (calculate)
 4. Calculate the relative frequencies (probabilities) (calculate)
 5. Create a frequency histogram based on calculated class widths and frequencies (represent)
 6. Create a relative frequency histogram based on calculated class widths and frequencies (represent)
 7. Identify the shape of a distribution as being symmetrical, uniform, bimodal, skewed right, skewed left, or normally symmetric. (define)
 8. Estimate a mean from class upper limits and relative frequencies using the formula Sx*P(x) here the probability P(x) is the relative frequency. (estimate)

C. Solve problems using normal curve and t-statistic distributions including confidence intervals for means and hypothesis testing

 1. Discover the normal curve through a course-wide effort involving tossing seven pennies and generating a histogram from the in-class experiment. (develop)
 2. Identify by characteristics normal curves from a set of normal and non-normal graphs of lines. (define)
 3. Determine a point estimate for the population mean based on the sample mean (calculate)
 4. Calculate a z-critical value from a confidence level (calculate)
 5. Calculate a t-critical value from a confidence level and the sample size (calculate)
 6. Calculate an error tolerance from a t-critical, a sample standard deviation, and a sample size. (calculate)
 7. Solve for a confidence interval based on a confidence level, the associated z-critical, a sample standard deviation, and a sample size where the sample size is equal or
     greater than 30. (solve)
 8. Solve for a confidence interval based on a confidence level, the associated t-critical, a sample standard deviation, and a sample size where the sample size is less
     than 30. (solve)
 9. Use a confidence interval to determine if the mean of a new sample places the new data within the confidence interval or is statistically significantly different.
     (interpret)

D. Determine and interpret p-values

 1. Calculate the two-tailed p-value using a sample mean, sample standard deviation, sample size, and expected population mean to to generate a t-statistic. (calculate)
 2. Infer from a p-value the largest confidence interval for which a change is not significant. (interpret)

Given two variable data and the use of spreadsheet software on a computer

E. Perform a linear regression and make inferences based on the results

 1. Identify the sign of a least squares line: positive, negative, or zero. (Define)
 2. Calculate the slope of the least squares line. (Calculate)
 3. Calculate the intercept of the least squares line. (Calculate)
 4. Solve for a y value given an x value and the slope and intercept of a least squares line. (Solve)
 5. Solve for a x value given an y value and the slope and intercept of a least squares line. (Solve)
 6. Calculate the correlation coefficient r. (Calculate)
 7. Use a correlation coefficient r to render a judgment as to whether a correlation is perfect, high, moderate, low, or none. (Interpret)
 8. Calculate the coefficient of determination rē. (Calculate)