The honey farm has installed a filling machine for honey jars that hold 500 g of honey. Doris is calibrating the new machine. She sets the machine to a mean of 500 g and performs a test run of 48 jars. Assume it is normally distributed. See the chart below.      Honey (G) 499 498 501 498 498 501 497 499 499 502 500 500 501 500 499 500 501 502 501 501 498 500 502 500 498 500 498 500 502 501 500 500 499 500 499 500 496 503 503 499 500 499 501 497 499 502 499 502   Determine the mean of the data Determine the standard deviation of the data. What is the probability that a jar contains at least 504 g of honey? Acceptable jars contain between 496 g and 503 g. What percentage of the jars will be acceptable?

A First Course in Probability (10th Edition)
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ISBN:9780134753119
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Chapter1: Combinatorial Analysis
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The honey farm has installed a filling machine for honey jars that hold 500 g of honey. Doris is calibrating the new machine. She sets the machine to a mean of 500 g and performs a test run of 48 jars. Assume it is normally distributed. See the chart below. 
 
 
Honey (G)
499 498
501 498
498 501
497 499
499 502
500 500
501 500
499 500
501 502
501 501
498 500
502 500
498 500
498 500
502 501
500 500
499 500
499 500
496 503
503 499
500 499
501 497
499 502
499 502
 
Determine the mean of the data
Determine the standard deviation of the data.
What is the probability that a jar contains at least 504 g of honey?
Acceptable jars contain between 496 g and 503 g. What percentage of the jars will be acceptable?

 

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