Exam 1 Formulas Sheet

# Exam 1 Formulas Sheet - STA 3024 Introduction to Statistics...

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Exam 1 Formulas We, the members of the University of Florida community, pledge to hold ourselves and our peers to the highest standards of honesty and integrity. Name UFID# Signature Some formulas which you might ﬁnd useful are Binomial probability mass function: P ( X = x ) = n ! x !( n - x )! p x (1 - p ) n - x Conﬁdence Interval for a Population Proportion: ˆ p ± z ( α 2 ) * q ˆ p (1 - ˆ p ) n Conﬁdence Interval for Diﬀerence between Two Population Proportions from Indepen- dent Random Samples: (ˆ p 1 - ˆ p 2 ) ± z α 2 * ( se ) where se = q ˆ p 1 (1 - ˆ p 1 ) n 1 + ˆ p 2 (1 - ˆ p 2 ) n 2 Conﬁdence Interval for a Population Mean: ¯ x ± t ( α 2 ) * q s 2 n Conﬁdence Interval for Diﬀerence between Population Means from Independent Ran- dom Samples: (¯ x 1 - ¯ x 2 ) ± t ( α 2 ) * ( se ) where se = q s 2 1 n 1 + s 2 2 n 2 Sample size for estimating a population mean: n = t 2 ( α 2 ) * s 2 m 2 Sample size for estimating a population proportion: n = z 2 ( α 2 ) * ˆ p (1 - ˆ p ) m 2 Test Statistic for: Hypothesis Test for a Population Proportion: z 0 = ˆ p - p 0 se 0 where se 0 = q p 0 (1 - p 0 ) n . Hypothesis Test for Comparing Two Population Proportions: z 0 = p 1 - ˆ p 2 ) - 0 se 0 with se 0 = r ˆ p (1 - ˆ p ) ± 1 n 1 + 1 n 2 ² . Hypothesis Test for Comparing Two Population Proportions from Dependent Samples: z 0 = number of count for (1 , 0) - number of count for (0 , 1) number of count for (1 , 0)+ number of count for (0 , 1) . Hypothesis Test for a Population Mean: t 0 = ¯ x - μ 0 se 0 where se 0 = q s 2 n . Hypothesis Test for Comparing Two Population Means:

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## This note was uploaded on 12/15/2011 for the course STA 3024 taught by Professor Ta during the Spring '08 term at University of Florida.

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Exam 1 Formulas Sheet - STA 3024 Introduction to Statistics...

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