ntic croaker fish are normally distributed, with a mean of 11.3 inches and a standard deviation of 1.6 inches. An Atlantic croaker fish is random selected. Determine the following. Remember to make a sketch! a) You want to determine the proportion of the croaker fish population that is lons than 13.5 inches. What z-score should you use? Please round your answer to 2 decimal places. b) What proportion of the croaker fish population is longer than 13.5 inches? Gi your answer to 4 decimal places, using the z-score from (a). c) You select a fish at random from the population. What is the probability it is between 9 and 13.5 inches? Give your answer to 4 decimal places.

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The lengths of Atlantic croaker fish are normally distributed, with a mean of 11.3
inches and a standard deviation of 1.6 inches. An Atlantic croaker fish is randomly
selected. Determine the following. Remember to make a sketch!
a) You want to determine the proportion of the croaker fish population that is longer
than 13.5 inches. What z-score should you use? Please round your answer to 2
decimal places.
b) What proportion of the croaker fish population is longer than 13.5 inches? Give
your answer to 4 decimal places, using the z-score from (a).
c) You select a fish at random from the population. What is the probability it is
between 9 and 13.5 inches? Give your answer to 4 decimal places.
d) At least how long would a croaker fish need to be in order to be in the top
(longest) 9% of the population? The z-score is (round to 3 decimal places)
A and the fish length is (round to 3
A inches.
decimal places)
Transcribed Image Text:The lengths of Atlantic croaker fish are normally distributed, with a mean of 11.3 inches and a standard deviation of 1.6 inches. An Atlantic croaker fish is randomly selected. Determine the following. Remember to make a sketch! a) You want to determine the proportion of the croaker fish population that is longer than 13.5 inches. What z-score should you use? Please round your answer to 2 decimal places. b) What proportion of the croaker fish population is longer than 13.5 inches? Give your answer to 4 decimal places, using the z-score from (a). c) You select a fish at random from the population. What is the probability it is between 9 and 13.5 inches? Give your answer to 4 decimal places. d) At least how long would a croaker fish need to be in order to be in the top (longest) 9% of the population? The z-score is (round to 3 decimal places) A and the fish length is (round to 3 A inches. decimal places)
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