QL MATH 2100 ONLO5 Name (Print) Analyze the situations presented in the two ques
ID: 3311282 • Letter: Q
Question
QL MATH 2100 ONLO5 Name (Print) Analyze the situations presented in the two questions below using statistical methods learned in this course. Show this statistical analysis. Then answer the questions, each with a complete sentence that refers, for support, to your statistical results. Scan, attach, and return your completed answers to gened@piedmont.edu. Be sure to title the document using the title given at the top left of this page. Both questions refer 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 ). Uncle Bill told his wife that he was going fishing in Lake Oconee. He came home from his fishing trip with six (6) trout having a total weight of 20 pounds. Do you think he really caught this group of fish in Lake Oconee? (Answer in a complete sentence. Support your answer with proper statistics. Show your work.) 1. 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. 2Explanation / Answer
1.
Mean weight of 6 trouts from Lake Oconee = 2.5*6 = 15
std. dev. of 6 trouts = 0.6*sqrt(6)= 1.4697
P(X >= 20)
= P(z >= (20 - 15)/1.4697)
= P(z >= 3.4020)
= 0.000334
No this group of fish is very less likely to be from Lake Oconee because having weight of 6 fishes from this lake greater than or equal to 20 pounds is 0.00033 which is very less.
2.
z-value = -0.8416
xbar = mean + z*sigma
xbar = 2.5 -0.8416*0.6
xbar = 1.99504
This means trouts with weight 1.995 pounds or less are eligible to throw back.
Hence the trout caught with weight of 1.8 pounds need to be thrown back
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