Assume that you read an article claiming that the average IQ level of Turkish people is 88. You thought that the reported level is too low for Turkish people and wanted to test it yourself. You design an experiment to test your hypothesis for the average IQ level of Turkish people. Assume that you sampled n= 20 people and the resulting average IQ for sample turned out to be 92 with a sample variance of 12. a) List your null and alternative hypothesis explicitly and test your claim at 95% confidence level. What would be your conclusion based on your sample? b) Assume that the article is in fact correct. What are the Type-1 and Type-2 errors for your analysis in part a.

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Assume that you read an article claiming that the average IQ level of Turkish people is 88. You thought
that the reported level is too low for Turkish people and wanted to test it yourself. You design an
experiment to test your hypothesis for the average IQ level of Turkish people. Assume that you sampled
n = 20 people and the resulting average IQ for sample turned out to be 92 with a sample variance of 12.
a) List your null and alternative hypothesis explicitly and test your claim at 95% confidence level.
What would be your conclusion based on your sample?
b) Assume that the article is in fact correct. What are the Type-1 and Type-2 errors for your analysis
in part a.
Transcribed Image Text:Assume that you read an article claiming that the average IQ level of Turkish people is 88. You thought that the reported level is too low for Turkish people and wanted to test it yourself. You design an experiment to test your hypothesis for the average IQ level of Turkish people. Assume that you sampled n = 20 people and the resulting average IQ for sample turned out to be 92 with a sample variance of 12. a) List your null and alternative hypothesis explicitly and test your claim at 95% confidence level. What would be your conclusion based on your sample? b) Assume that the article is in fact correct. What are the Type-1 and Type-2 errors for your analysis in part a.
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