Question

3) Is it true that the sample mean is always equal to the population mean that we picked the sample from? Explain.

5) Is it true that the confidence interval is narrower for 95% confidence than for 90% confidence? Explain

6) Is it true that the Sample means are less variable than individual observations as n→∞ ? Explain

In a certain population of mussels (mytilus edulis) 80% of the individuals are infected with an intestinal parasite. A marine biologist plans to examine 100 randomly chosen mussels from the population. Let ? represent the number of mussels in this sample with the intestinal parasite. (FOR 9 & 10)

9) Clearly state the distribution that ? follows, Explain why you picked this distribution? State the distribution we may use to approximate it.

10) Approximate the probability that between 75% and 90% (inclusive) of the mussels in the sample are infected. Note: show your R code for calculating the probability under the normal curve or z-value.

Answer 1

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