Stat 371: Exploratory Data Analysis and Probability Rules - Exam Preparation, Exams of Statistics

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Review on Chapter 1 - Chapter 5:

What you need to know for the first exam

Cécile Ané

Stat 371

Spring 2006

Exploratory data analysis

Distinguish categorical/numerical data, Display distributions, describe their shape, Boxplots: determine Q 1 , median, Q 3 , detect outliers, Calculate the mean and standard deviation (don’t forget to

var !) Empirical rule.

Binomial distribution

Given the description of a random variable Y , determine whether it has a binomial distribution or not. If information is available, give n and p. Carry out probability calculations with B Know when to approximate B with a normal distribution, Know how to approximate B with N.

Normal distribution

Carry out probability calculations: IP{ Y ≤ a } =?, IP{ Y ≥ a } =?, IP{ a ≤ Y ≤ b } =?, and quantile calculations: IP{ Y ≤?} = p , IP{ Y ≥?} = p.

Use the transformation Z =

Y − μ σ Know that IP{− 1 ≤ Z ≤ 1 } ' 68 %, IP{− 2 ≤ Z ≤ 2 } ' 95 % and IP{− 3 ≤ Z ≤ 3 } ' 99. 7 %. Relate to the empirical rule.