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The amount of tea leaves in a can from a particular production line is normally distributed...

The amount of tea leaves in a can from a particular production line is normally distributed with µ = 110 grams and σ = 25 grams. A sample of 25 cans is to be selected. What is the probability that the sample mean will be less than 100 grams?

Math   Statistics-And-Probability   
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Answer #1

Solution :

Given that ,

mean = = 110

standard deviation = = 25

= / n = 25 / = 25 = 5

P( < 100) = P(( - ) / < (100 - 110) / 5)

= P(z <-2 )

= 0.0228

Probability= 0.0228

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