SOLUTION: The amount of fill (weight of contents) put into a glass jar of spaghetti sauce is normally distributed with mean μ = 856 grams and standard deviation of σ = 11 grams.
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Question 1109925: The amount of fill (weight of contents) put into a glass jar of spaghetti sauce is normally distributed with mean μ = 856 grams and standard deviation of σ = 11 grams.
(e) Find the probability that a random sample of 30 jars has a mean weight between 840 and 856 grams. (Give your answer correct to four decimal places.) Answer by rothauserc(4718) (Show Source):
You can put this solution on YOUR website! Probability (P) ( 840 < X < 856 ) = P ( X < 856 ) - P ( X < 840 )
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z-score(840) = ( 840 - 856 ) / 11 is approximately -1.45
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look in z-tables for the P associated with z-score of -1.45
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P ( X < 840 ) = 0.0735
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since 856 is the mean P( X < 856 ) = 0.50
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P ( 840 < X < 856 ) = 0.50 - 0.0735 = 0.4265
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