# stat400lec34 - Or p-value<α Step 7 Conclusions Example...

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Statistics 400 Tests about the Mean of a Population Tests of significance for the population mean μ are based on the sample mean, x , which has the distribution: ) , ( ~ n N x σ . The One Sample t-test: Random sample of size n. The hypothesis test has the same set-up as before. The only difference is that we are now using the estimated standard deviation and a t-distribution. The Seven-Step Method: Step 1: Identify the Null hypothesis Step 2: Identify the Alternative hypothesis One sided Tests Two sided Tests Step 3: Test Statistic based on the sampling distribution of x Ping Ma Lecture 34 Fall 2005 - 1 -

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Step 4: Critical region Ha: 0 μ Ha: 0 < Ha: 0 Step 5: P-values Step 6: Decision Rule: Reject Ho if: t* > t α (n-1) t* > t α (n-1) |t*| > t α/2 (n-1)
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Unformatted text preview: Or p-value <α Step 7: Conclusions Example: Packages of frozen broccoli are supposed to weigh 12 oz. They are weighed at the end of a production line. In observing 25 packets we find that the mean weight of the packages is 11.92 ounces with a sample standard deviation of .11 ounces. Conduct a hypothesis test at a 0.05 significance level to determine whether the mean weight of broccoli packages differs from 12. Step 1. Null Hypothesis: Step 2: Alternative Hypothesis: Step 3: Test Statistic: Ping Ma Lecture 34 Fall 2005 - 2 -Step 4: critical region Step 5: P-value/Probability Step 6: Decision Rule: Step 7: Conclusion Ping Ma Lecture 34 Fall 2005 - 3 -...
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## This note was uploaded on 07/24/2008 for the course STAT 400 taught by Professor Tba during the Fall '05 term at University of Illinois at Urbana–Champaign.

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stat400lec34 - Or p-value<α Step 7 Conclusions Example...

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