Basic Business Statistics, Student Value Edition (13th Edition)
Basic Business Statistics, Student Value Edition (13th Edition)
13th Edition
ISBN: 9780321946393
Author: Mark L. Berenson, David M. Levine, Kathryn A. Szabat
Publisher: PEARSON
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Chapter 3, Problem 69PS

A quality characteristic of interest for a tea-bag-filling process is the weight of the tea in the individual bags. If the bags are underfilled, two problems arise. First, customers may not be able to brew the tea to be as strong as they wish. Second, the company may be in violation of the truth-in-labeling laws. For this product, the label weight on the package indicates that, on average, there are 5.5 grams of tea in a bag. If the mean amount of tea in a bag exceeds the label weight, the company is giving away product. Getting an exact amount of tea in a bag is problematic because of variation in the temperature and humidity inside the factory. differences in the density of the tea and the extremely fast filling operation of the machine (approximately 170 bags per minute). The file Teabags contains these weights. in grams. of a sample of 50 tea bags produced in one hour by a single machine:

Chapter 3, Problem 69PS, A quality characteristic of interest for a tea-bag-filling process is the weight of the tea in the

a. Compute the mean, median. first quartile, and third quartile.

b. Compute the range, interquartile range, variance, standard deviation, and coefficient of variation.

c. Interpret the measures of central tendency and variation within the context of this problem. Why should the company producing the tea bags be concerned about the central tendency and variation?

d. Construct a boxplot Are the data skewed? If so, how?

e. Is the company meeting the requirement set forth on the label that. on average. there are 5.5 grams of tea in a bag? If you were in charge of this process. what changes. if any. would you try to make concerning the distribution of weights in the individual bags?

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Chapter 3 Solutions

Basic Business Statistics, Student Value Edition (13th Edition)

Ch. 3 - The file Sedans contains the overall miles per...Ch. 3 - The file SUV contains the overall miles per gallon...Ch. 3 - Prob. 13PSCh. 3 - Prob. 14PSCh. 3 - Is there a difference in the variation of the...Ch. 3 - Prob. 16PSCh. 3 - A bank branch located in a commercial district of...Ch. 3 - Suppose that another bank branch, location in a...Ch. 3 - Prob. 19PSCh. 3 - Prob. 20PSCh. 3 - Prob. 21PSCh. 3 - In 2009 through 2012, the value of precious metals...Ch. 3 - Prob. 23PSCh. 3 - Using the one-year return percentage variable in...Ch. 3 - Prob. 25PSCh. 3 - Prob. 26PSCh. 3 - The following is a set of data from a sample of...Ch. 3 - The following is a set of data from a sample of...Ch. 3 - The following is a set of data from a sample of...Ch. 3 - The following is a set of data from a sample of...Ch. 3 - Prob. 31PSCh. 3 - Prob. 32PSCh. 3 - The file HotelAway contains the average room price...Ch. 3 - Prob. 34PSCh. 3 - Prob. 35PSCh. 3 - A bark branch located in a commercial district of...Ch. 3 - The following is a set of data for a population...Ch. 3 - The following is a set of data for a population...Ch. 3 - Prob. 39PSCh. 3 - Consider a population of 1.024 mutual funds that...Ch. 3 - Prob. 41PSCh. 3 - Prob. 42PSCh. 3 - Thirty companies comprise the DJIA Just how big...Ch. 3 - The following is a set of data from sample of n=11...Ch. 3 - Prob. 45PSCh. 3 - Prob. 46PSCh. 3 - Movie companies need to predict the gross receipts...Ch. 3 - College football is big business, with coaches’...Ch. 3 - A Pew Research Center survey found a noticeable...Ch. 3 - What are the properties of a set of numerical...Ch. 3 - What is meant by the property of central tendency?Ch. 3 - What are the differences among the mean, median,...Ch. 3 - How do you interpret the first quartile, median,...Ch. 3 - What is meant by the property of variation?Ch. 3 - What does the Z score measure?Ch. 3 - What are the differences among the various...Ch. 3 - How does the empirical rule help explain the ways...Ch. 3 - How do the empirical rule and the Chebyshev rule...Ch. 3 - What is meant by the property of shape?Ch. 3 - What is the difference between the arithmetic mean...Ch. 3 - What is the difference between skewness and...Ch. 3 - How do the covariance and the coefficient of...Ch. 3 - The American Society for Quality (ASQ) conducted a...Ch. 3 - Prob. 64PSCh. 3 - One of the 111801 measures of the quality of...Ch. 3 - Prob. 66PSCh. 3 - Prob. 67PSCh. 3 - Prob. 68PSCh. 3 - A quality characteristic of interest for a...Ch. 3 - The manufacturer of Boston and Vermont asphalt...Ch. 3 - Prob. 71PSCh. 3 - The file Protein contains calories. protein. and...Ch. 3 - The file HotelPrices contains the prices in...Ch. 3 - Prob. 74PSCh. 3 - The file CEO-includes the total compensation...Ch. 3 - Prob. 76PSCh. 3 - Prob. 77PSCh. 3 - Prob. 78PSCh. 3 - You are planning to study for your statistics...Ch. 3 - The file DomesticBeer contains the percentage...
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