MATH 116 – FINAL EXAM - STUDY GUIDE
· Chapter 3:
o Use z-scores to compare x-values
o Find probabilities when selecting one individual (show procedure, and use the calculator)
o Find scores, percentiles when selecting one individual (show procedure and use the calculator)
· Chapters 4 and 5
Correlation and regression
o Find the regression equation (least squares regression line) and the correlation coefficient with the calculator
o Explain the meaning of the slope
o Use the regression equation for predictions: Given x, find y, or given y, find x
o Is the prediction reliable?
o Residuals
o Recognize the meaning of r-square
o If r-square is given, find r (how do you know whether r is positive or negative?)
· Chapter 11: the Central Limit Theorem for means
o Describe the distribution of sample means for samples of size n: shape, mean and standard deviation
o Find probabilities in the x-bar distribution (show procedure and use the calculator)
· Chapter 14: - ONE POPULATION MEAN – WITH SIGMA (USE Z)
(With formulas and with the calculator)
o Hypothesis testing
o Find the margin of error
o Find the confidence interval
· Chapter 15:
o Find sample size for estimating the population mean with a given margin of error
· Chapter 17: - ONE POPULATION MEAN – WITHOUT SIGMA (USE T)
(With formulas and with the calculator)
o Hypothesis testing
o Find the margin of error
o Find the confidence interval
· Chapter 17 – TWO POPULATION MEANS – MATCHED PAIRS (USE T test on L3 = L1 – L2)
(With calculator – NO FORMULAS)
o Hypothesis testing
o Find the confidence interval
o Find the margin of error from the constructed interval:
(Graph interval and use your geometric mind)
ME = upper value of the confidence interval minus point estimate
· Chapter 18 – TWO POPULATION MEANS – INDEPENDENT SAMPLES
(USE 2-sampT-tst or intvl)
(With calculator – NO FORMULAS)
o Hypothesis testing
o Find the confidence interval
o Find the margin of error from the constructed interval
· Chapter 19 – ONE POPULATION PROPORTION
(With formulas and with the calculator)
o Describe the distribution of p-hat for samples of size n: shape, mean and standard deviation
o Hypothesis testing
o Find the confidence interval
o Find the margin of error from the constructed interval:
o Find sample size for estimating population proportions with a given margin of error
· Chapter 20 – TWO POPULATION PROPORTIONS
(With calculator – NO FORMULAS)
o Hypothesis testing
o Find the confidence interval
o Find the margin of error from the constructed interval:
Make sure you know how to do all of the following
a) Describe in words the population (group you are selecting the sample from) [2 points}
b) Describe in words the variable or success attribute [2 points]
c) List all the statistics with the corresponding notation [2 points]
d) Find the point estimate for the population mean/proportion [2 points]
e) Write the hypotheses [3 points]
f) Sketch the graph, shade and label possible locations of the point estimate [2 points]
g) Run the test in the calculator. Indicate which test you used and write the results [2 points]
h) Write the conclusion within context [2 points]
i) Interpret the p-value and how it helped to write the conclusion in part (h) [2 points]
j) Use the calculator to construct a ___% confidence interval estimate . [2 points]
k) Interpret the interval in words (We are ___% confident that.... [2 points]
l) What does the interval suggests in reference to the claim being tested? [2 points]