What the answer requires: Can you find from the graph the z-score and then calcu

Question

What the answer requires:

Can you find from the graph the z-score and then calculate the cut-off weight for the size of fish that you would have to throw back?

What the answer would look like:

The bottom 20% of fish correspond to a z-score of "z = ????", which has a corresponding "fish weight of _______ pounds." This means a fish of 2.8 pounds "would/would not" have to be thrown back.

Analyze the situation presented in the question below using statistical methods learned. Show this statistical analysis. Then answer the question with a complete sentence that refers, for support, to your statistical results. The question refers to the following data: The weight of the trout in Lake Oconee average 2.5 pounds, with a population standard deviation of 0.6 pounds. ( = 2.5 lbs. = 0.6 lbs ). In Lake Oconee, any trout in the bottom 20% by weight must be thrown back. If you catch a trout that weighs 1.8 pounds, do you have to throw it back? (Answer in a complete sentence. Support your answer with proper statistics. Show your work.) 2. -2

Explanation / Answer

The bottom 20% of fish correspond to a z-score of "z =-0.8416

which has a corresponding "fish weight of =2.5-0.8416*0.6 =1.995  pounds

This means a fish of 2.8 pounds would not" have to be thrown back.

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