Answered: The world’s smallest mammal is 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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The world’s smallest mammal is the bumblebee bat. Such bats are roughly the same size of a large bumblebee. Listed below are the weights (in grams) from a sample of these bats. Assuming that all such bats have a standard deviation of .3 grams, use a significance level of .05 to test the claim that these bats are from the same population with a known mean of 1.8 grams. Do the bats appear to be from the same population? You may assume the sample data comes from a population that follows a normal distribution.

2.13 1.31 1.91 1.92 1.77 1.64 2.29 1.99 2.33 2.49 2.22

State the null hypothesis H0: _____________
State the alternative hypothesis H1: _____________
What is the test statistic used for the test (z or t) and its value (round to 2 places)
State the significance or alpha (α) level
Determine the p-value. (round to 4 places)
Do you or do you not reject the null hypothesis? Why?
Write a clear conclusion using a complete sentence.

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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