0/1 points | Pravious Answers MintroStat9 5.E 513.XP My Notes Ask Your ta8 uare

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0/1 points | Pravious Answers MintroStat9 5.E 513.XP My Notes Ask Your ta8 uare yer qare yard(Ru The number of flaws per square yard in a type of carpet material varies with maan 1.4 flaws per square yard and standard daviation flaws per square yard. This population distribution cannat be normal, because a count takes only whole-number valucs. An inspector studies 180 square yerds of the materiel, records the number of flaws found in each square yard, and calculetes 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 axcoeds 1.5 per square yard. (Round your answer to four decimal places 0.0764

Explanation / Answer

here std error of mean =std deviation/(n)1/2 =1/(180)1/2 =0.0745

therefore probability that mean number of flaws exceeds 1.5 =P(X>1.5)=1-P(X<1.5)=1-P(Z<(1.5-1.4)/0.0745)

=1-P(Z<1.3416)=1-0.9101 =0.0899

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