King Salmon in the Kenai River. Deion works for Alaska Fish and Game. They would like to know the average length of King Salmon in the Kenai River this year. They catch, measure and release a random sample of 18 king salmon and record the lengths (in centimeters) of the fish. The data is displayed in the table below. Estimate the mean length of all King Salmon in the Kenai River this year. Use a 95% confidence level. 99 76 41.6 82.1 105.5 66.6 76.8 66.6 87. 95.4 46.1 53.8 78.9 79.8 78.9 62.2 80.2 58.5 a) Find the confidence interval: <μ< b) What is the margin of error of your interval? c) Interpret your 95% confidence interval in context. (This will be graded manually, so don't panic!)

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.3: Measures Of Spread
Problem 11PPS
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King Salmon in the Kenai River.
Deion works for Alaska Fish and Game. They would like to know the average length of King Salmon
in the Kenai River this year. They catch, measure and release a random sample of 18 king salmon
and record the lengths (in centimeters) of the fish. The data is displayed in the table below.
Estimate the mean length of all King Salmon in the Kenai River this year. Use a 95% confidence
level.
99 76 41.6 82.1 105.5 66.6 76.8 66.6 87.4 58.5
95.4 46.1 53.8 78.9
79.8 78.9 62.2 80.2
a) Find the confidence interval:
<μ<
b) What is the margin of error of your interval?
c) Interpret your 95% confidence interval in context. (This will be graded manually, so don't panic!)
Transcribed Image Text:King Salmon in the Kenai River. Deion works for Alaska Fish and Game. They would like to know the average length of King Salmon in the Kenai River this year. They catch, measure and release a random sample of 18 king salmon and record the lengths (in centimeters) of the fish. The data is displayed in the table below. Estimate the mean length of all King Salmon in the Kenai River this year. Use a 95% confidence level. 99 76 41.6 82.1 105.5 66.6 76.8 66.6 87.4 58.5 95.4 46.1 53.8 78.9 79.8 78.9 62.2 80.2 a) Find the confidence interval: <μ< b) What is the margin of error of your interval? c) Interpret your 95% confidence interval in context. (This will be graded manually, so don't panic!)
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