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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
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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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.
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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