(Answered) A paint manufacturer claims its paint will last an average

Statistics

A paint manufacturer claims its paint will last an average of 16 years. Assume that paint life is normally distributed with a standard deviation of 3.2 years. Suppose a random sample of 20 houses are painted with this manufacturer's paint. What is the probability that the average life of the paint for this sample will be more than 14 years? (Choose the closest value)

A. 0.734

B. 0.266

C. 0.9974

D. 0.0026

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