Suppose 50% of the bumblebee bats are female. 25 bumblebee bats are selected at random and the proportion of female bumblebee bats are determined. d. Briefly explain the Central Limit Theorem for sample proportion. e. Using the central limit theorem, find the probability that the sample proportion is between 0.3 to 0.4.
Suppose 50% of the bumblebee bats are female. 25 bumblebee bats are selected at random and the proportion of female bumblebee bats are determined. d. Briefly explain the Central Limit Theorem for sample proportion. e. Using the central limit theorem, find the probability that the sample proportion is between 0.3 to 0.4.
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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Answer D and E ONLY. A, B and C already asked prev
Transcribed Image Text:In a study of bumblebee bats, one of the world's
smallest mammals, the weights are normally
distributed, with a mean of 2.1 grams and a
standard deviation of 0.4 gram.
a. Find the probability that a randomly
selected bumblebee bat weighs between
1.75 gram and 2.3 gram.
b. The heaviest 5% of the bumblebee bats are
classified as overweight. What is the cut-off
weight for a bumblebee bat to be
considered overweight?
c. 4 bumblebee bats are randomly selected,
and their weights are measured. What is
the probability that the sample mean
weight is greater than 2.2 gram?
Suppose 50% of the bumblebee bats are female.
25 bumblebee bats are selected at random and
the proportion of female bumblebee bats are
determined.
d. Briefly explain the Central Limit Theorem
for sample proportion.
e. Using the central limit theorem, find the
probability that the sample proportion is
between 0.3 to 0.4.
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