Book edition OER 2018

Author(s) Barbara Illowsky, Susan Dean

Pages 902 pages

ISBN 9781938168208

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Short Answer

The standard deviation of the weights of elephants is known to be approximately $15$ pounds. We wish to construct a $95$ % confidence interval for the mean weight of newborn elephant calves. Fifty newborn elephants are weighed. The sample mean is 244 pounds . The simple standard deviation is 11 pounds.
1. Identify the following:
a. x- = ___
b. σ= _
c. n= ___

From the information given in the question

a) $\bar{x}$ = $244$

b) $σ = 15$

c) $n = 50$

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Step by Step Solution

TABLE OF CONTENTS :

TABLE OF CONTENTS

Part (a) Step 1: Given Information

The standard deviation of the weights of elephants = $15$ pounds

The sample mean is $244$ pounds .

$\bar{x}$ = _____

Part (a) Step 2: Explanation

The sample mean is the average (or mean) value of a group of numbers drawn from a larger population of numbers, where "population" refers to all relevant data, whether or not it has been gathered.

The sample means weight for the fifty newborn elephant calves is $244$ pounds.

Part (b) Step 1: Given Information

The standard deviation of the weights of elephants = $15$ pounds

The sample mean is $244$ pounds.

n = _____

Part (b) Step 2: Explanation

The square root of the variance of a set of integers is used to calculate the population standard deviation. It's used to calculate a confidence interval before making a decision (such as accepting or rejecting a hypothesis).

The population standard deviation of the weights of elephants is $15$ pounds approximately.

Part (c) Step 1: Given Information

The standard deviation of the weights of elephants = $15$ pounds

The sample mean is $244$ pounds .

Fifty new born elephants are weighed.

n= _____

Part (c) Step 2: Explanation

The total number of observations or population size is represented by the letter $" N . "$ In the frequency distribution, it also signifies the sum of frequencies. The sample size is represented by the tiny letter $" n . "$

The number of newborn elephant calves weighed is $50$ .

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