[See Solution] The tensile strength of synthetic fiver used in manufacturing carpet is a random variable with a mean of 75.5 psi and a standard deviation


Question: The tensile strength of synthetic fiver used in manufacturing carpet is a random variable with a mean of 75.5 psi and a standard deviation of 3.5 psi.

  1. Find the probability that a random sample of 35 fiber specimens will have a mean tensile strength that exceeds 75.7 psi.
  2. Suppose you wish to determine the probability that a random sample of 10 fiber specimens will have a mean tensile strength that exceeds 75.7 psi. What assumptions do you need to make to calculate this probability?

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