Answered: Whale # 1 2 3 4 Length (m) 25 27 26 24…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

See similar textbooks

Related questions

Question

The blue whale is the largest known animal to have ever existed. Consider the following sample of lengths of 5 (fictional) blue whales:

(See attached image for table of sample)

Supposed that the disctirbution of lengths of all blue whales follows a Normal Distribution, with a standard deviation of 1m.

A) Calculate a 99% confidence interval for the mean length of a blue whale. Show all work!

B) The second largest mammal in the world is the fin whale. Suppose we know that the population mean length of adult fin whale is 19m. We wish to test whether the average length of a blue whale is more than this amount, using the data above. State the two competing hypothese. Define any parameters you use.

Whale #
Length (m)
1 2 3
4
25 27 26 24
5
23

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.

Expert Solution