Suppose the sediment density (g/cm) of a randomly selected specimen from a certa

Question

Suppose the sediment density (g/cm) of a randomly selected specimen from a certain region is normally distributed with mean 2.65 and standard deviation 0.85. If a random sample of 25 specimens is selected, what is the probability that the sample average sediment density is at most 3.00? (b) Between 2.65 and 3.00? Suppose the sediment density (g/cm) of a randomly selected specimen from a certain region is normally distributed with mean 2.65 and standard deviation 0.85. If a random sample of 25 specimens is selected, what is the probability that the sample average sediment density is at most 3.00? (b) Between 2.65 and 3.00? Suppose the sediment density (g/cm) of a randomly selected specimen from a certain region is normally distributed with mean 2.65 and standard deviation 0.85. If a random sample of 25 specimens is selected, what is the probability that the sample average sediment density is at most 3.00? (b) Between 2.65 and 3.00?

Explanation / Answer

A. Here we will compute z =3-2.65/(0.85/sqrt(n))=2.06

Now P(x<=3)=>P(z<=2.06)=0.9803

B. P(2.65<x<3)=>P(0<z<2.06)=0.4803

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