Basic Business Statistics, Student Value Edition

14th Edition

ISBN: 9780134685113

Author: Mark L. Berenson, David M. Levine, David F. Stephan, Kathryn Szabat

Publisher: PEARSON

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Concept explainers

Inverse Normal Distribution

The method used for finding the corresponding z-critical value in a normal distribution using the known probability is said to be an inverse normal distribution. The inverse normal distribution is a continuous probability distribution with a family of tw…

Mean, Median, Mode

It is a descriptive summary of a data set. It can be defined by using some of the measures. The central tendencies do not provide information regarding individual data from the dataset. However, they give a summary of the data set. The central tendency o…

Z-Scores

A z-score is a unit of measurement used in statistics to describe the position of a raw score in terms of its distance from the mean, measured with reference to standard deviation from the mean. Z-scores are useful in statistics because they allow compar…

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Textbook Question

Chapter 7, Problem 21PS

Why is the sample mean an unbiased estimator of the population mean?

Definition Definition Measure of central tendency that is the average of a given data set. The mean value is evaluated as the quotient of the sum of all observations by the sample size. The mean, in contrast to a median, is affected by extreme values. Very large or very small values can distract the mean from the center of the data. Arithmetic mean: The most common type of mean is the arithmetic mean. It is evaluated using the formula: μ = 1 N ∑ i = 1 N x i Other types of means are the geometric mean, logarithmic mean, and harmonic mean. Geometric mean: The nth root of the product of n observations from a data set is defined as the geometric mean of the set: G = x 1 x 2 ... x n n Logarithmic mean: The difference of the natural logarithms of the two numbers, divided by the difference between the numbers is the logarithmic mean of the two numbers. The logarithmic mean is used particularly in heat transfer and mass transfer. ln x 2 − ln x 1 x 2 − x 1 Harmonic mean: The inverse of the arithmetic mean of the inverses of all the numbers in a data set is the harmonic mean of the data. 1 1 x 1 + 1 x 2 + ...

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Chapter 7, Problem 20PS

Chapter 7, Problem 22PS

Chapter 7 Solutions

Basic Business Statistics, Student Value Edition

Ch. 7 - Given a normal distribution with =100and=10, if...Ch. 7 - Given a normal distribution with =50and=5, if you...Ch. 7 - For each of the following three populations,...Ch. 7 - The following data represent the number of days...Ch. 7 - The amount of water in a two-liter bottle is...Ch. 7 - The weight of an energy bar is approximately...Ch. 7 - The diameter of a brand of tennis balls is...Ch. 7 - The U.S. Census Bureau announced that the median...Ch. 7 - According to a report by App Annie, a business...Ch. 7 - According to the National Survey of Student...

Ch. 7 - In a random sample of 64 people, 48 are classified...Ch. 7 - A random sample of 50 households was selected for...Ch. 7 - The following data represent the responses (Y for...Ch. 7 - A political pollster is conducting an analysis of...Ch. 7 - You plan to conduct a marketing experiment in...Ch. 7 - What do millennials around the world want in a...Ch. 7 - The goal of corporate sustainability is to manage...Ch. 7 - Prob. 18PS Ch. 7 - The topic of global warming increasingly appears...Ch. 7 - An IAB study on the state of original digital...Ch. 7 - Why is the sample mean an unbiased estimator of...Ch. 7 - Why does the standard error of the mean decrease...Ch. 7 - Why does the sampling distribution of the mean...Ch. 7 - What is the difference between a population...Ch. 7 - Under what circumstances does the sampling...Ch. 7 - An industrial sewing machine uses ball bearings...Ch. 7 - The fill amount of bottles of a soft drinks is...Ch. 7 - Prob. 28PS Ch. 7 - In problem 7.28, suppose that the mean amount of...Ch. 7 - Prob. 30PS Ch. 7 - The article mentioned in Problem 7.30 reported...

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Why is the sample mean an unbiased estimator of the population mean?

Solution Summary: The author explains that sample mean is an unbiased estimator of population mean. Population means is the average of the population, whereas sample means are averages of samples.

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Chapter 7 Solutions