4. Water availability is of prime importance in the life cycle of most reptiles. To determine the rate of evaporative water loss of a certain species of lizard at a particular desert site, 34 such lizards were randomly collected, weighed and placed under the appropriate experimental conditions. After 24 hours, each lizard was removed, weighed, and its total water loss was calculated by subtracting its body weight after treatment from its initial body weight. Previous studies have shown that the relative frequency distribution of water loss for this species of lizard has a mean of 3.1 grams and a s.d. of 0.8 gram. a) What is the approximate sampling distribution of , the mean water loss of the 34 lizards * is approximately normal with mean 3.1 and s.d. 0.8 by CLT is approximately binomial with mean 3.1 and s.d. 0.8/√34 by CLT is approximately normal with mean 3.1 and s.d. 0.8/√34 by CLT x is approximately binomial with mean 3.1 and s.d. 0.8 by CLT

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter4: Eigenvalues And Eigenvectors
Section4.6: Applications And The Perron-frobenius Theorem
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4. Water availability is of prime importance in the life cycle of most reptiles. To
determine the rate of evaporative water loss of a certain species of lizard at a
particular desert site, 34 such lizards were randomly collected, weighed and placed
under the appropriate experimental conditions. After 24 hours, each lizard was
removed, weighed, and its total water loss was calculated by subtracting its body
weight after treatment from its initial body weight. Previous studies have shown that
the relative frequency distribution of water loss for this species of lizard has a mean
of 3.1 grams and a s.d. of 0.8 gram.
a) What is the approximate sampling distribution of x, the mean water loss of the
34 lizards
* is approximately normal with mean 3.1 and s.d. 0.8 by CLT
is approximately binomial with mean 3.1 and s.d. 0.8/√34 by CLT
is approximately normal with mean 3.1 and s.d. 0.8/√34 by CLT
* is approximately binomial with mean 3.1 and s.d. 0.8 by CLT
Transcribed Image Text:4. Water availability is of prime importance in the life cycle of most reptiles. To determine the rate of evaporative water loss of a certain species of lizard at a particular desert site, 34 such lizards were randomly collected, weighed and placed under the appropriate experimental conditions. After 24 hours, each lizard was removed, weighed, and its total water loss was calculated by subtracting its body weight after treatment from its initial body weight. Previous studies have shown that the relative frequency distribution of water loss for this species of lizard has a mean of 3.1 grams and a s.d. of 0.8 gram. a) What is the approximate sampling distribution of x, the mean water loss of the 34 lizards * is approximately normal with mean 3.1 and s.d. 0.8 by CLT is approximately binomial with mean 3.1 and s.d. 0.8/√34 by CLT is approximately normal with mean 3.1 and s.d. 0.8/√34 by CLT * is approximately binomial with mean 3.1 and s.d. 0.8 by CLT
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