Answered: biologist needs to estimate the weight…

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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100%

A biologist needs to estimate the weight of all spiny lobsters on the Treasure Coast. To achieve this, the biologist collects a random sample of 20 spiny lobsters. The weights of each lobster in the sample are given below. Assume that the weights of all spiny lobsters on the Treasure Coast are normally distributed.

9.7	7.1	8.2	6.3	8.1	5.5	7.8	7.8	9.2	8.8
7.7	8.8	9.7	6.6	6.3	8.9	7	8.1	9	8.2

Determine the point estimate, ¯xx¯ and the sample standard deviation, ss. Round the solutions to four decimal places, if necessary.

¯x=x¯=

s=s=

Using a 99% confidence level, determine the margin of error, EE, and a confidence interval for the average weight of a spiny lobster on the Treasure Coast. Report the confidence interval using interval notation. Round solutions to two decimal places, if necessary.

The margin of error is given by E=E=.

A 99% confidence interval is given by .

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

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