The mean weight of all Goliath grouper caught on the Treasure coast is 412 pounds, with a standard deviation of 54 pounds. Suppose a random sample of 46 Goliath Grouper from the Treasure Coast are caught and weighed. Determine the probability that the average weight of the sample of 46 Goliath Grouper is within 20 pounds of the average weight of all Goliath Grouper caught on the Treasure Coast. Round the solution to four decimal places, if necessary. P(within 20 pounds of)

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section: Chapter Questions
Problem 8CR
icon
Related questions
Question

Please don't use any AI and also don't give image type solution.

Please provide only typed answer solution with proper formula and explanation.

Thank you 

Help me asap.

The mean weight of all Goliath grouper caught on the Treasure coast is 412 pounds, with a standard
deviation of 54 pounds. Suppose a random sample of 46 Goliath Grouper from the Treasure Coast are
caught and weighed.
Determine the probability that the average weight of the sample of 46 Goliath Grouper is within 20 pounds
of the average weight of all Goliath Grouper caught on the Treasure Coast. Round the solution to four
decimal places, if necessary.
P(within 20 pounds of)
Transcribed Image Text:The mean weight of all Goliath grouper caught on the Treasure coast is 412 pounds, with a standard deviation of 54 pounds. Suppose a random sample of 46 Goliath Grouper from the Treasure Coast are caught and weighed. Determine the probability that the average weight of the sample of 46 Goliath Grouper is within 20 pounds of the average weight of all Goliath Grouper caught on the Treasure Coast. Round the solution to four decimal places, if necessary. P(within 20 pounds of)
Expert Solution
steps

Step by step

Solved in 1 steps

Blurred answer
Recommended textbooks for you
Holt Mcdougal Larson Pre-algebra: Student Edition…
Holt Mcdougal Larson Pre-algebra: Student Edition…
Algebra
ISBN:
9780547587776
Author:
HOLT MCDOUGAL
Publisher:
HOLT MCDOUGAL
College Algebra
College Algebra
Algebra
ISBN:
9781305115545
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
Calculus For The Life Sciences
Calculus For The Life Sciences
Calculus
ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,
College Algebra (MindTap Course List)
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning