17. + 0,1 points l Previous Answers MintroStat95E5 13?? My Notes Ask Your Teache

Question

17. + 0,1 points l Previous Answers MintroStat95E5 13?? My Notes Ask Your Teacher The number of flaws per square yard in a type of carpet material varies with mean 1.2 flaws per square yard and standard deviation 1 flaws per square yard. This population distribution cannot be normal, because a count takes only whole-number values. An inspector studies 175 square yards of the material, records the number of flaws found in each square yard, and calculates x, the mean number of flaws per square yard inspected. Use the central limit theorem to find the approximate probability that the mean number of flaws exceeds 1.3 per square yard. (Round your answer to four decimal places.)

Explanation / Answer

here std error of mean =std deviation/sqrt(n)=1/sqrt(175)=0.0756

hence P(mean exceed 1.3)=P(Xbar>1.3)=P(Z>(1.3-1.2)/0.0756)=P(Z>1.32)=0.0934 ( please try 0.0929 or 0.0930 if this comes wrong)

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