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 49.9 cm and a standard deviation of 3.74 cm. Assume the length of fish is normally distributed. A sample of 17 fish was taken. d) Find the mean of the sampling distribution of the sample mean.     Put the numeric value in the first box and the correct units in the second box.     e) Find the standard deviation of the sampling distribution of the sample mean.     Put the numeric value rounded to two decimal places in the first box and the correct units in the second box.     g) Find the probability that the sample mean length of the 17 randomly selected Atlantic cod is less than 51.5 cm.

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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 49.9 cm and a standard deviation of 3.74 cm. Assume the length of fish is normally distributed. A sample of 17 fish was taken.


d) Find the mean of the sampling distribution of the sample mean.

    Put the numeric value in the first box and the correct units in the second box.

   

e) Find the standard deviation of the sampling distribution of the sample mean.

    Put the numeric value rounded to two decimal places in the first box and the correct units in the second box.

   
g) Find the probability that the sample mean length of the 17 randomly selected Atlantic cod is less than 51.5 cm.

 

    Round final answer to 4 decimal places. 

    DO NOT use the rounded standard deviation from part e in this computation. 

    Use the EXACT value of the standard deviation with the square root. 

   

h) Find the probability that the sample mean length of the 17 randomly selected Atlantic cod is more than52.33 cm.

    Round final answer to 4 decimal places. 

    DO NOT use the rounded standard deviation from part e in this computation. 

    Use the EXACT value of the standard deviation with the square root. 

   

 

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