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Durable press" cotton fabrics are treated to enhance their recovery from wrinkles after washing. Unluckily, treatment also decreases strength of fabric. Breaking strength of untreated fabric is Normally distributed with mean 58 pounds and standard deviation 2.3 pounds. Same kind of fabric after treatment has Normally distributed breaking strength with mean 30 pounds and standard deviation 1.6 pounds. 4 clothing manufacturer tests SRS of 5 specimens of each fabric.

(a) Determine the probability that mean breaking strength of 5 untreated specimens exceeds 50 pounds?

(b) Determine the probability that mean breaking strength of 5 treated specimens exceeds 50 pounds?

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Statistics and Probability, Statistics

Category:- Statistics and Probability
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