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)