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F R O M L A S T T I M E
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C H A N G I N G S A M P L E S I Z E Increasing the sample size (assuming it is still independent) should increase the precision of your estimate. Decreasing the sample size will decrease your precision. We can see the effect of sample size on a confidence interval.
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What does a larger sample size do to a confidence interval for a given (95%) level of confidence ?
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H Y P O T H E S I S T E S T I N G CHAPTER 4.3
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W E H AV E Q U E S T I O N S In many disciplines, questions motivate research. For example, employers and graduate programs are concerned about “grade inflation” When I graduated from UCLA, the average GPA was 2.85, in the most recent study (2008) the average UCLA GPA was 3.23 and a recent UCLA survey of 175 currently enrolled students had a mean GPA 3.28.
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T H E Q U E S T I O N Is the mean UCLA GPA higher today than it was in 2008?
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F R A M E W O R K Statistics provides an impartial method for decision making using imperfect and incomplete information about the parameter. The method also allows us to control the probability of making certain types of mistakes in the decision making process.
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E X A M P L E Consider the logic of jury trials In the US, to prove someone is guilty, we start by assuming they are innocent. We retain that assumption until the facts make innocence unlikely beyond a reasonable doubt. Only then do we reject the assumption of innocence and declare the person guilty.
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H Y P O T H E S I S T E S T I N G Similar to jury trials, there is a formal procedure and a framework for judging.
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