lec11 - FST 109/K.L. McCarthy FST 109 Lecture 11 Food...

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FST 109/K.L. McCarthy L11-1 FST 109 Lecture 11 Food Product Specification and Testing (Tomato Processing video) Visual aids: Pyconmeter; hydrometers (2) and cylinder, water; density cup hand-held refractometer and sugar soln Quality Assurance: Variability and Distributions FST 109: Lecture 10 (continued)
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FST 109/K.L. McCarthy L11-2 Binomial Distribution () υ = n p n q p n n B )! ( ! ! ) ( , Distribution=number of combinations * individual probability Binomial Distribution Properties: average, ± Sum of probabilities = 1.0 ± What is the average number of successes ? – Sum of all possible values of ν B n,p In general (ave. no. of successes), ν (bar) = np 0 1 2 3 4 Binomial Distribution 0 0.1 0.2 0.3 0.4 No. of Successes B n,p successes probability 0 0.0625 10 . 2 5 2 0.375 30 . 2 5 4 0.0625 ν p n B , np =
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FST 109/K.L. McCarthy L11-3 Binomial Distribution Properties: standard deviation ± Variance is defined as ± Standard deviation on ν () p np = = 1 2 2 υ σ No. of successes ν - ν (bar) squared 0- 2 4 1- 1 1 200 311 424 10 10 sum 1va r iance 1s td dev ) 1 ( ) 1 ( 2 p p np = = = ν Example with ν (bar)=2, p=1/2, n=4 Oranges ± Categories – Mold damage/no mold damage » Two of the 10 oranges have mold damage ± Sampling – I have two trials; a success is selecting an orange with a defect (mold). » What is the probability of zero successes? » What is the probability of one success? » What is the probability of two successes? » What is the probability of 0, 1, or 2 successes?
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FST 109/K.L. McCarthy L11-4 Summary ± What is quality? – conformance to requirements or specifications ± What are methods to determine quality – Subjective – Objective ± Distributions to quantify variability: center characteristics and spread characteristics – Normal distribution for variables – Binomial distribution for attributes FST 109 Lecture 11 Food Product Specification and Testing Tomato Processing video
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FST 109/K.L. McCarthy L11-5 Processing tomatoes in California ± 93% of the processing tomatoes in the U.S. are grown in California – Next two leading states: IN, OH – (Fresh market- leading states: FL, CA, OH) ± CA industry: – Production: 10.5 million tons /yr » each tandem truck carries 25.5 tons, O(400,000) loads
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This note was uploaded on 02/21/2009 for the course FST 109 taught by Professor Kathrynl.mccarthy during the Spring '08 term at UC Davis.

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lec11 - FST 109/K.L. McCarthy FST 109 Lecture 11 Food...

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