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Problem #12 : The size of fish is very important to commercial fishing. A study conducted...

Problem #12 : The size of fish is very important to commercial fishing. A study conducted in 2012 found the length of Atlantic cod caught in nets in Karlskrona to have a mean of 54.8 cm and a standard deviation of 3.88 cm (Ovegard, Berndt & Lunneryd, 2012). The length of fish is normally distributed.

A sample of 9 fish is taken.
a.) State the random variable.
b.) Find the mean of the sample mean.
c.) Find the standard deviation of the sample mean

d.) Find the probability that this sample of 9 fish has a mean length more than 56 cm.

please show work

Math   Statistics-And-Probability   
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