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Anna007 [38]
2 years ago
9

g A carload of steel rods has arrived at Cybermatic Construction Company. The car contains 50,000 rods. Claude Ong, manager of Q

uality Assurance, directs his crew measure the lengths of 100 randomly selected rods. If the population of rods has a mean length of 120 inches and a standard deviation of 0.05 inch, the probability that Claude's sample has a mean greater than 120.0125 inches is _____________.
Mathematics
1 answer:
Margarita [4]2 years ago
5 0

Answer:

0.0062

Step-by-step explanation:

Given that a carload of steel roads has arrived at Cybermatic Construction Company. The car contains 50,000 rods

Sample size =100

\bar x=120"

s =0.05"

Sample mean follows a N(120,0.05/sqrtn)

sample std error=\frac{0.05}{\sqrt{100} } \\=0.005

P(\bar X>120.0125)=\\P(Z>\frac{120.0125-120}{0.005} \\=P(Z>2.5)\\=0.5-0.4938\\=0.0062

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