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by: Shane Marks

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# INTR STATISTCL REASONING STAT 110

Shane Marks

GPA 3.93

B. Habing

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COURSE
PROF.
B. Habing
TYPE
Class Notes
PAGES
1
WORDS
KARMA
25 ?

## Popular in Statistics

This 1 page Class Notes was uploaded by Shane Marks on Monday October 26, 2015. The Class Notes belongs to STAT 110 at University of South Carolina - Columbia taught by B. Habing in Fall. Since its upload, it has received 8 views. For similar materials see /class/229662/stat-110-university-of-south-carolina-columbia in Statistics at University of South Carolina - Columbia.

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Date Created: 10/26/15
STAT 1 10 Chapter 20 and 21 De nitions Central limit theorem 7 the sampling distribution for the mean of a random sample will become approximately normally distributed as the sample size increases as long as the original population has a mean and a variance this works for proportions too because they are just means Expected value 7 found by multiplying each outcome by its probability and then summing over all possible outcomes Given possible outcomes a1 a2 ak and probabilities p1 p2 pk expected value a1 p1 a2 p2 akpk Law of large numbers If a random phenomenon with numerical outcomes is repeated many times independently the mean of the sample approaches the expected value The sampling distribution for the proportion from a simple random sample from a large population has approximately has mean p and standard deviation W n

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