Elementary Statistics: Picturing the World (7th Edition)

7th Edition

ISBN: 9780134683416

Author: Ron Larson, Betsy Farber

Publisher: PEARSON

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Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.

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Textbook Question

Chapter 5.2, Problem 2TY

What is the probability that the shopper in Example 2 will be in the supermarket between 31 and 58 minutes? When 200 shoppers enter the store, how many shoppers would you expect to be in the store between 31 and 58 minutes?

EXAMPLE 2

Finding Probabilities for Normal Distributions

A survey indicates that for each trip to a supermarket, a shopper spends an average of 43 minutes with a standard deviation of 12 minutes in the store. The lengths of time spent in the store are normally distributed and are represented by the variable r. A shopper enters the store, (a) Find the probability that the shopper will be in the store for each interval of time listed below, (b) When 200 shoppers enter the store, how many shoppers would you expect to be in the store for each interval of time listed below? (Adapted from Time Use Institute)

1. Between 22 and 52 minutes
2. More than 37 minutes

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

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Chapter 5.2, Problem 1TY

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Chapter 5 Solutions

Elementary Statistics: Picturing the World (7th Edition)

Ch. 5.1 - 1. Which normal curve has the greatest mean? 2....Ch. 5.1 - The scaled test scores for the New York State...Ch. 5.1 - A U.S. adult who is at least 20 years old is...Ch. 5.1 - Find the area under the standard normal curve to...Ch. 5.1 - Find the area under the standard normal curve to...Ch. 5.1 - Find the area under the standard normal curve...Ch. 5.1 - Find three real-life examples of a continuous...Ch. 5.1 - In a normal distribution, which is greater, the...Ch. 5.1 - What is the total area under the normal curve?Ch. 5.1 - What do the inflection points on a normal...

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