Elemary Satistics Lecture notes

# Elemary Satistics Lecture notes - Notesfor Brase/Brase...

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Math 10 Page 1 Notesfor Understandable Statistics Brase/Brase Ninth Edition Prepared at Foothill College

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Math 10 Page 2 Chapter 1 Section 1.1 What is Statistics? Key Vocabulary: Variable Quantitative Variable Qualitative Variable Population Data Sample Data Parameter Statistic Descriptive Statistics Inferential Statistics Give two examples of a quantitative random variable and two examples of a qualitative random variable.
Math 10 Page 3 Example 1.1.1 The Sport Journal reported on a study of a speed-training program for high school football players. Each study participant was timed in a 40-yard sprint both before and after training. The researchers measured two variables: (1) the difference between the before and after sprint times (in seconds), and (2) the category of improvement (“improved,” “no change,” “worse”) for each player. There were 30 high school football players who participated in the study. a) Identify the variables. b) Identify the variables as either quantitative or qualitative. Explain. c) What is the implied population? d) Suppose that 16 of the high school football players who participated in the study “improved” their sprint times. Does that necessarily mean that this speed-training program will “improve” the sprint times of a majority of high school football players? Explain

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Math 10 Page 4 Section 1.2 Random Samples Types of Sampling a) Simple random sample b) Stratified c) Systematic d) Cluster e) Convenience f) Multistage Sampling
Math 10 Page 5 Example 1.1.2 Categorize the type of sampling used in each of the following situations: a) To conduct a pre-election opinion poll on a proposed amendment to the state constitution, a random sample of 10 telephone prefixes (first three digits of the phone number) was selected, and all households from the phone prefixes were called. b) To conduct a survey on depression among the elderly, a sample of 30 patients in one nursing home was used. c) To maintain quality control in a brewery, every 20 th bottle of beer coming off the production line was opened and tested. d) Subscribers to the magazine Sound Alive were assigned numbers. Then a sample of 30 subscribers was selected by using a random-number table. Then subscribers in the sample were invited to rate new compact disc players for a “What Subscribers Think” column. e) To judge the appeal of a proposed tv sitcom, a random sample of 10 people from each of three different age categories was selected and those chosen were asked to rate a pilot show.

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Math 10 Page 6 Chapter 2 Section 2.1 Frequency Distributions, Histograms, and Related Topics Basic Graph Shapes Mound-shaped Uniform Skewed Right Skewed Left Bimodal Number of Units Taken 0 1 2 3 4 5 6 2 7 12 17 22 Number of Units Frequency Number of Units Taken by Students 0 2 4 6 8 10 12 2 7 12 17 22 Number of Units
Math 10 Page 7 Number of Units Taken by Students 0 2 4 6 8 10 12 14 16 2 7 12 17 22 Number of Units Frequency Number of Units Taken by Students 0 1 2 3 4 5 6 7 8 9 2 7 12 17 22 Number of Units Number of Units Taken by Students 0 2 4 6 8 10 12 14 16 2 7 12 17 22 Number of Units

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Elemary Satistics Lecture notes - Notesfor Brase/Brase...

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