8a_Hypothesis_Testing_Outline

# 8a_Hypothesis_Testing_Outline - 1 3 Glasses and IQ Are...

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Glasses and IQ Are people who wear glasses more intelligent than normal? Glasses and IQ Measure the IQ of 1 randomly selected person who wears glasses. Glasses and IQ Problems? • Larger sample should be more accurate Glasses and IQ Problems? • The person might simply be normal – Normal people can have an IQ that high Glasses and IQ 1 2 3 4 5 6

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In fact, the probability of randomly choosing a normal person with an IQ above 111 is .2451 Glasses and IQ Again, with n = 30 But, those 30 people might still just be normal and they could have a mean IQ of 109 Glasses and IQ Again, with n = 30 In fact, the probability of a randomly drawn group of 30 having an IQ above 108 is .0031 Glasses and IQ The fundamental problem: There’s always some chance that our sample looks different from the regular population but it really isn’t Because you can still draw individuals and groups from the regular population and find means that are different from the population mean ( sampling error ) Glasses and IQ So we can never be 100% sure that people who wear glasses are smarter than average 7 8 9 10
BUT When the probability of getting our sample mean from the regular population by chance is low, we can be fairly

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8a_Hypothesis_Testing_Outline - 1 3 Glasses and IQ Are...

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