Question
Durable press cotton fabrics are treated to improve their recovery from wrinkles after washing. Unfortunately, the treatment also reduces the strength of the fabric. The
"Durable press" cotton fabrics are treated to improve their recovery from wrinkles after washing. Unfortunately, the treatment also reduces the strength of the fabric. The breaking strength of untreated fabric is normally distributed with mean52pounds and standard deviation2.3pounds. The same type of fabric after treatment has normally distributed breaking strength with mean22.8pounds and standard deviation2pounds. A clothing manufacturer tests3specimens of each fabric. All6strength measurements are independent. (Round your answers to four decimal places.)
What is the probability that the mean breaking strength of the3untreated specimens exceeds 50 pounds?
I know the answer to this one-- 0.9345
What is the probability that the mean breaking strength of the3untreated specimens is at least 25 pounds greater than the mean strength of the3treated specimens?
For this question the answer that I am getting is 0.000. But I do not think that I am doing it correctly.
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