### Understanding Normal Distribution: Tarantula Carapace Length StudyAccording to a recent study, the carapace length for adult males of a certain species of tarantula is normally distributed with a mean (\(\mu\)) of 17.44 mm and a standard deviation (\(\sigma\)) of 1.72 mm. The tasks below will help you understand how to interpret and analyze data following a normal distribution.**Click the following links to view the standard normal distribution tables, which are necessary for solving the problems below:**- [Page 1 of the Standard Normal Distribution Table](#)- [Page 2 of the Standard Normal Distribution Table](#)#### Problem Analysis:1. **Find the percentage of the tarantulas that have a carapace length between 15 mm and 16 mm.** _Solution:_ The percentage of the tarantulas that have a carapace length between 15 mm and 16 mm is **12.27%**.2. **Find the percentage of the tarantulas that have a carapace length exceeding 18 mm.** _Solution:_ The percentage of the tarantulas that have a carapace length exceeding 18 mm is **19.91%**.**Instructions for Calculation:**- Use the mean (\(\mu\)) of 17.44 mm and the standard deviation (\(\sigma\)) of 1.72 mm.- Convert the given carapace lengths to Z-scores using the formula: \[ Z = \frac{(X - \mu)}{\sigma} \] where \(X\) is the carapace length you are analyzing. - Refer to the standard normal distribution tables to find the corresponding percentages for the Z-scores obtained.**Note:** Always express your final answers as percentages and, if needed, round to two decimal places.Understanding these calculations will help you analyze normally distributed data in various biological studies, enhancing your ability to draw meaningful conclusions from quantitative data.

Answered: Image /qna-images/answer/c89c12fe-7141-466e-8dd6-f3ec4a6ea08d.jpg

Answered: According to a recent study, the…

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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According to a recent study, the carapace length for adult males of a certain species of tarantula are normally distributed with a mean of u = 17.08 mm and a standard deviation of o = 1.57 mm. Complete parts (a) through (d) below. Click here to view page 1 of the standard normal distribution table. Click here to view page 2 of the standard normal distribution table. a. Find the percentage of the tarantulas that have a carapace length between 15 mm and 16 mm. The percentage of the tarantulas that have a carapace length between 15 and 16 is (Type an integer or decimal rounded to two decimal places as needed.) %.
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