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Expert-verified Found in: Page 477 ### Introductory Statistics

Book edition OER 2018
Author(s) Barbara Illowsky, Susan Dean
Pages 902 pages
ISBN 9781938168208 # 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) $\stackrel{-}{x}$= $244$

b) $\sigma =15$

c) $n=50$

See the step by step solution

## Part (a) Step 1: Given Information

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

The sample mean is $244$ pounds .

$\stackrel{-}{x}$= _____

## 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 $50$. ### Want to see more solutions like these? 