# Exam 1 Study Guide: Chapters 1-9

1. Identify the context of the data. Context involves the who, what, where, when, why, and how. For each variable (what), tell whether the variable is categorical or quantitative and give the units for all quantitative variables. Look at problems 2.2-21.
2. Categorical data. Be able to read a frequency table and answer questions based on it. Be able to construct a pie chart or bar chart by hand. Look at problems 3.5-13
3. Contingency table. Be able to find percents, marginal distributions, conditional distributions. Look at problems 3.14-31.
4. Given a small set of data values, find the mean, median, mode, variation, variance, and standard deviation. Look at problems 5.3-10
5. You are given the score of two people on two different exams. The means and standard deviations of the exams are given. Standardize the scores and determine who did better relative to their classmates on the exam.
6. Given a set of summary statistics, construct a box plot. Look at problems 5.23-26, 32
7. Draw and label a figure that illustrates the Normal model and the 68-95-99.7 rule. Label the axis with the appropriate values based on the mean and standard deviation for the model. Look at problems 6.11-12.
8. A standard normal model is given. Find the amount of the area in each region. Draw a figure and shade the region. You will need Table Z for this problem. Five parts. Look at problems 6.19-20.
9. Given the area to the left (or right) of a z-score, find the z-score. You will need Table Z for this problem.
10. Look at some scatter plots. Identify which plots show little or no association (of any kind, not just linear), negative association, linear association, moderately strong association, and very strong association. Then take the given values for the correlation coefficient and match them to the scatter plots. Look at problems 7.5-6 and 7.11-12.
11. A scatter plot with the regression line drawn on it is given. Each axis is centered about its mean and the tick marks are one standard deviation apart. Find the standard deviation for the response and predictor variables. The slope of the regression line is given, use it and the centroid to find the equation of the best fit line. Use the equation to estimate the response variable for a given value of the predictor variable. Use algebra to find the correlation coefficient (formula is given to you). Look at the notes from class and problems 8.1-2.
12. Look at a normal probability plot and determine if the data follows a normal model. Explain what you're looking for.
13. Look at a histogram where the bars are one standard deviation wide. Determine the percent of the data that lies within one, two, and three standard deviations of the mean and whether or not 68-95-99.7 rule applies. Chebyshev's Rule is stated, see if your data follows that rule. Look at activity 1.

## Notes

• You will need Table Z in appendix E for this test. This will provided for you.
• You will need a calculator.
• You will not need Minitab or Active Stats. Your computer screens should be off during the exam.

## Points per problem

 # Pts 1 2 3 4 5 6 7 8 9 10 11 12 13 Total 6 8 9 11 5 6 6 15 3 12 12 2 5 100