Please, I need help with this question: “Durable press\" cotton fabrics are trea

Question

Please, I need help with this 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 breaking strength of treated fabric is Normally distributed with mean 58 pounds and standard deviation 2.3 pounds. A clothing manufacturer tests an SRS of 5 specimens of fabric. What is the mean breaking strength of the 5 specimens? What is the standard deviation of the 5 samples? What is the probability that the mean breaking strength of the 5 specimens exceeds 60 pounds?

Explanation / Answer

Sampling distribution of mean is norma with mean=58 pound and standard deviation =2.3/sqrt(5)=1.03

So, P(Xbar>60)=0.0261 using excel fucntion =1-NORMDIST(60,58,1.03,TRUE)

Related Questions

Navigate

• Browse (All)
• Browse P
• Subjects