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L21-09

# L21-09 - Hypothesis Testing and CI using t-distribution...

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Hypothesis Testing and CI using t-distribution 12/1/09 Lecture 21 1

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Recall ( Section 6.2 ): Tests for population mean Confidence Intervals Connection between the 2 procedures (382-390) Today ( Section 7.1 ): Tests for population mean when the population SD is unknown (418-428) 12/1/09 Lecture 21 2
In a discussion of SAT scores, someone comments: “Because only some students take the test, the scores overestimate the ability of typical seniors. The mean SAT-M score is about 475, but I think if all seniors took the test, the mean would be 450.” You gave the test to an SRS of 500 seniors from California. They had an average score of 461. (The SAT-M scores follow a normal distribution with a standard deviation of 100.) Is there sufficient evidence against the claim that the mean for all California seniors is 450 with a significance level of 0.05? Give a 95% CI for the mean score of all seniors. 12/1/09 Lecture 21 3

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A level 2-sided test Accepts H 0 : = 0 exactly when the value 0
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L21-09 - Hypothesis Testing and CI using t-distribution...

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