Suppose the sediment density of specimens from a certain region has mean 2.55 and standard deviation 0.78. d) For this part, assume that the sediment density of specimens are normally distributed. What is the probability that the sediment density of a randomly chosen specimen is at most 2.5? Compare your answer with Part c) (answer is .4013) and explain why it is the same or why it is different? e) For this part, assume that the distribution of sediment density of specimens is unknown. What is the probability that the sample mean sediment density of (independent) random sample of 100 specimens is at most 2.5? Justify why you can use a normal distribution to find the probability.
Suppose the sediment density of specimens from a certain region has
d) For this part, assume that the sediment density of specimens are
e) For this part, assume that the distribution of sediment density of specimens is unknown. What is the probability that the sample mean sediment density of (independent) random sample of 100 specimens is at most 2.5? Justify why you can use a normal distribution to find the probability.
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