d) At least how long would a croaker fish need to be in order to be in the top (longest) 8% of the population? The z-score is (round to 3 decimal places) decimal places) A/ and the fish length is (round to 3 A inches.

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Only need D from this question. Thank you
The lengths of Atlantic croaker fish are normally distributed, with a mean of 10.5
inches and a standard deviation of 1.8 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 14 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 14 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 8 and 14 inches? Give your answer to 4 decimal places.
A
Transcribed Image Text:The lengths of Atlantic croaker fish are normally distributed, with a mean of 10.5 inches and a standard deviation of 1.8 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 14 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 14 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 8 and 14 inches? Give your answer to 4 decimal places. A
d) At least how long would a croaker fish need to be in order to be in the top
(longest) 8% of the population? The z-score is (round to 3 decimal places)
decimal places)
A
and the fish length is (round to 3
inches.
A
Transcribed Image Text:d) At least how long would a croaker fish need to be in order to be in the top (longest) 8% of the population? The z-score is (round to 3 decimal places) decimal places) A and the fish length is (round to 3 inches. A
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