10_16_09ans - STAT 409 1. Fall 2009 Examples for 10/16/2009...

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Examples for 10/16/2009 Fall 2009 1. A new method of storing snap beans is believed to retain more ascorbic acid than the old method. In an experiment, snap beans were harvested under uniform conditions and frozen in 250 equal-size packages. One hundred of those packages were randomly selected and stored according to the new method, and the other 150 packages were stored by the old method. Subsequently, ascorbic acid determinations (in mg/kg) were made, and the following summary statistics were calculated. New Method Old Method Sample mean ascorbic acid 450 410 Sample standard deviation 20 45 Perform the appropriate test at a 1% level of significance. Claim: μ New > μ Old H 0 : μ New μ Old = 0 vs. H 1 : μ New μ Old > 0 Test Statistic: Z = ( 29 ( 29 150 45 100 20 0 410 450 Y X 2 2 2 2 2 1 2 1 0 s s δ + - - = + - - n n = 9.562. n 1 and n 2 are large Rejection Region: Reject H 0 if Z > z 0.01 = 2.326. Reject
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This note was uploaded on 10/12/2011 for the course STATISTICS stat 410 taught by Professor Stepanov during the Spring '11 term at University of Illinois, Urbana Champaign.

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10_16_09ans - STAT 409 1. Fall 2009 Examples for 10/16/2009...

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