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these in future laboratory exercises?

      2 A batch of alfalfa sprouts was produced by company A and temporarily stored in a walk‐in refrigerator before shipping to a retail grocery store (company B). The lot is made of 1500 cardboard packages, each containing 250 g of sprouts. The criterion for acceptance or rejection of the sprouts by company B is based on the percentage of packages positive for coliforms. Company A claims their shipments will have no more than 5% of the packages positive for coliforms, and company B decided to reject any shipment when 10% (or more) of its packages are positive for coliforms. You were asked to develop a sampling plan, analyze the lot, and determine statistically if it will be accepted or rejected. To assist in developing this plan, answer the following:Determine the number of samples that should be analyzed to produce 80% statistical power.Determine the number of samples that should be analyzed to produce only 50% statistical power.Considering the large number of samples that needs to be analyzed, what could you do to decrease the number of samples analyzed yet still produce meaningful results that help company B accept or reject the lot?

      INTRODUCTION

      How can one evaluate the microbiological quality of a food? Enumeration of microorganisms in the food is the answer that often comes to mind. The important follow up question then is: Can this enumeration be done accurately so that the results are used reliably to measure the microbiological quality? Reliability of the results, obviously, depends on how the enumeration is executed. This chapter addresses this topic with the goal of familiarizing the analysts with the methods and techniques used in enumeration and helping them apply these to produce repeatable and reliably results.

      The procedure for determining the count of a microbial population using the plate count method often involves homogenizing a sample, preparing dilutions of the homogenized product, plating appropriate dilutions on a suitable medium, incubating the inoculated medium, counting resulting colonies, and calculating the concentration of the targeted population. For determining the concentration of microbial population accurately, it is imperative that the analytical sample is appropriately obtained and prepared. Information about sampling and sample preparation (including homogenization) has been discussed in Chapter 2.

      Dilution

      Differences in food’s microbial populations span several orders of magnitude, hence dilutions should be made before these populations can be measured with reasonable accuracy. To accomplish this task, an analytical sample is typically weighed, dilutions are made, and the count of microorganisms in the diluted sample is determined. The degree of dilution should be tracked carefully so that concentration of microorganisms in the undiluted food can be calculated. The degree of dilution (i.e., dilution factor) can be represented, generically, by the following equation:

      (3.1)upper D i l u t i o n f a c t o r equals StartFraction upper W e i g h t o r v o l u m e t o b e d i l u t e d Over upper F i n a l w e i g h t o r v o l u m e o f d i l u t e d p r o d u c t EndFraction

      Although weights can be measured with great accuracy, microbiologists prefer volumetric over gravimetric measurements because in the former, the analysis can be completed more quickly and aseptic techniques can be applied more easily. Furthermore, dilution is completed in multiple steps, typically in a decimal dilution series. To simplify the volumetric dilution procedure, the following approximations will be applied:

      1 Food density is equal to 1 g/ml (at ambient temperature), therefore, food volume and mass will be considered numerically equal.

      2 Final volume of diluted sample equals the sum of the volumes of the sample to be diluted and the diluent to be added.

      Decimal dilution series are recommended for ease of calculation, but other ratios of weight (or volume) of a sample and diluent can be used. If a dilution in the series is not decimal (e.g., two‐fold dilution), the dilution factor of the new mixture can also be calculated using equation 3.3.

       Dilutions suitable for plating

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