There is a weekend fishing competition that Laura participates in each year. There are several other fishing boats that participate in this competition. Laura caught 37 fish at the competition this year. Among all the competitors, the number of fish caught this year had a mean of 45 fish and a standard deviation of 13 fish. Find the z-score of the number of fish that Laura caught relative to the numbers of fish caught by all the competitors. Roun- your answer to two decimal places. 0 X
There is a weekend fishing competition that Laura participates in each year. There are several other fishing boats that participate in this competition. Laura caught 37 fish at the competition this year. Among all the competitors, the number of fish caught this year had a mean of 45 fish and a standard deviation of 13 fish. Find the z-score of the number of fish that Laura caught relative to the numbers of fish caught by all the competitors. Roun- your answer to two decimal places. 0 X
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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![**Context: Calculating Z-Score**
There is a weekend fishing competition that Laura participates in each year. There are several other fishing boats that participate in this competition. Laura caught 37 fish at the competition this year. Among all the competitors, the number of fish caught this year had a **mean** of 45 fish and a **standard deviation** of 13 fish.
**Task:**
Find the **z-score** of the number of fish that Laura caught relative to the numbers of fish caught by all the competitors. Round your answer to two decimal places.
**Equation for Z-Score Calculation:**
\[ z = \frac{(X - \mu)}{\sigma} \]
Where:
- \( X \) is the value to be standardized (number of fish Laura caught).
- \( \mu \) is the mean (average number of fish caught).
- \( \sigma \) is the standard deviation.
**Interactive Element:**
There is an interactive input box available for entering the calculated z-score, along with buttons to submit the answer or reset the input.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F3bd49ae7-8b45-446c-8381-0655d7ffd02d%2F78d17fb4-aff3-465e-9241-801be2b549cd%2Fxvyeus7_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Context: Calculating Z-Score**
There is a weekend fishing competition that Laura participates in each year. There are several other fishing boats that participate in this competition. Laura caught 37 fish at the competition this year. Among all the competitors, the number of fish caught this year had a **mean** of 45 fish and a **standard deviation** of 13 fish.
**Task:**
Find the **z-score** of the number of fish that Laura caught relative to the numbers of fish caught by all the competitors. Round your answer to two decimal places.
**Equation for Z-Score Calculation:**
\[ z = \frac{(X - \mu)}{\sigma} \]
Where:
- \( X \) is the value to be standardized (number of fish Laura caught).
- \( \mu \) is the mean (average number of fish caught).
- \( \sigma \) is the standard deviation.
**Interactive Element:**
There is an interactive input box available for entering the calculated z-score, along with buttons to submit the answer or reset the input.
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