Business Statistics: A First Course (7th Edition)
7th Edition
ISBN: 9780321979018
Author: David M. Levine, Kathryn A. Szabat, David F. Stephan
Publisher: PEARSON
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Chapter 2, Problem 2.21AC
a.
To determine
To construct: a frequency distribution and a percentage distribution for the given data.
b.
To determine
To construct: the cumulative percentage distribution.
c.
To determine
To make: the conclusion about the strength of the insulators and to determine if the company requires a force measurement of at least
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The manufacturing company in problem 3.60 also produces electric insulators. If the
insulators break when in use, a short circuit is likely to occur. To test the strength of the
insulators, destructive testing is carried out to determine how much force is required to
break the insulators. Force is measured by observing how many pounds must be applied
to an insulator before it breaks. Data are collected from a sample of 30 insulators. The file
contains the strengths, as follows:
1,870 1,728 1,656 1,610 1,634 1,784 1,522 1,696 1,592 1,662
1,866 1,764 1,734 1,662 1,734 1,774 1,550 1,756 1,762 1,866
1,820 1,744 1,788 1,688 1,810 1,752 1,680 1,810 1,652 1,736
a. Compute the mean, median, range, and standard deviation for the force needed to
break the insulators. Show your working.
b. Interpret the measures of central tendency and variability in (a).
The Etruscans. Anthropologists are still trying to unravel the mystery of the origins of the Etruscan empire, a highly advanced Italic civilization formed around the eighth century B.C. in central Italy. Were they native to the Italian peninsula or, as many aspects of their civilization suggest, did they migrate from the East by land or sea? The maximum head breadth, in millimeters, of 70 modern Italian male skulls and 84 preserved Etruscan male skulls was analyzed to help researchers decide whether the Etruscans were native to Italy. The resulting data can be found on the WeissStats site. [SOURCE: N. Barnicot and D. Brothwell, “The Evaluation of Metrical Data in the Comparison of Ancient and Modern Bones.” In Medical Biology and Etruscan Origins, G. Wolstenholme and C. O’Connor, eds., Little, Brown&Co., 1959]
a. Obtain normal probability plots, boxplots, and the standard deviations for the two samples.
b. Based on your results from part (a), which would you be inclined to use to…
One operation of a mill is to cut pieces of steel into parts that will later be used as the frame for front seats in an automobile. The steel is cut with a diamond saw and requires the resulting parts to be
within 10.005 inch of the length specified by the automobile company. Data are collected from a sample of 50 steel parts and are shown in the following table. The measurement reported is the
difference in inches between the actual length of the steel part, as measured by a laser measurement device, and the specified length of the steel part. For example, the first value, -0.003,
represents a steel part that is 0.003 inch shorter than the specified length. Complete parts a through c
Click the icon to view the data table.
a. Construct a frequency distribution
Difference in Length
-0.005 but less than -0.003:
-0.003but less than -0.001
-0.001but less than 0.001
0.001but less than 0.003
0.003but less than 0.005
Frequency
Difference Between Actual and Specified Lengths
0.002
0
-0.003…
Chapter 2 Solutions
Business Statistics: A First Course (7th Edition)
Ch. 2 - Prob. 2.1LBCh. 2 - The following data represent the responses to two...Ch. 2 - Prob. 2.3ACCh. 2 - Prob. 2.4ACCh. 2 - Prob. 2.5ACCh. 2 - Prob. 2.6ACCh. 2 - Prob. 2.7ACCh. 2 - A survey of 1,085 adults asked Do you enjoy...Ch. 2 - Prob. 2.9ACCh. 2 - Prob. 2.10AC
Ch. 2 - Prob. 2.11LBCh. 2 - Prob. 2.12LBCh. 2 - Prob. 2.13LBCh. 2 - Prob. 2.14LBCh. 2 - The file NBACost2013 contains the total cost ($)...Ch. 2 - The file UTILITY contains the following data about...Ch. 2 - Prob. 2.17ACCh. 2 - One operation of a mill to cut pieces of steel...Ch. 2 - A manufacturing company produces steel housings...Ch. 2 - Prob. 2.21ACCh. 2 - Prob. 2.22ACCh. 2 - Prob. 2.23ACCh. 2 - An online survey of CFA Institute members was...Ch. 2 - Prob. 2.25ACCh. 2 - Prob. 2.26ACCh. 2 - Prob. 2.27ACCh. 2 - The following table indicates the percentage of...Ch. 2 - Prob. 2.29ACCh. 2 - Prob. 2.30ACCh. 2 - A study of Kickstarter projects showed that 54.2%...Ch. 2 - Prob. 2.32ACCh. 2 - Prob. 2.33LBCh. 2 - Prob. 2.34LBCh. 2 - Prob. 2.35ACCh. 2 - Prob. 2.37ACCh. 2 - The file UTILITY contains the following data about...Ch. 2 - Prob. 2.39ACCh. 2 - Prob. 2.40ACCh. 2 - Prob. 2.41ACCh. 2 - Prob. 2.42ACCh. 2 - Prob. 2.43ACCh. 2 - Prob. 2.45ACCh. 2 - Prob. 2.46ACCh. 2 - The data stored in DRINK represents the amount of...Ch. 2 - Prob. 2.48LBCh. 2 - Prob. 2.49LBCh. 2 - Prob. 2.50ACCh. 2 - Data were collected on the typical cost of dining...Ch. 2 - College football is big business, with coaches pay...Ch. 2 - Prob. 2.54ACCh. 2 - Prob. 2.56ACCh. 2 - Prob. 2.57ACCh. 2 - Prob. 2.58ACCh. 2 - Prob. 2.59ACCh. 2 - Prob. 2.60ACCh. 2 - Prob. 2.61ACCh. 2 - Prob. 2.66ACCh. 2 - Prob. 2.67ACCh. 2 - Prob. 2.68ACCh. 2 - Prob. 2.69ACCh. 2 - Prob. 2.71ACCh. 2 - (Student Project) The Data and Story Library...Ch. 2 - Prob. 2.73ACCh. 2 - Prob. 2.75ACCh. 2 - Figure 2.1 shows a bar chart and a pie chart for...Ch. 2 - Prob. 2.78ACCh. 2 - Prob. 2.79CYUCh. 2 - Prob. 2.80CYUCh. 2 - Prob. 2.81CYUCh. 2 - Compare and contrast the bar chart for categorical...Ch. 2 - Prob. 2.83CYUCh. 2 - Prob. 2.84CYUCh. 2 - What are the three different ways to break down...Ch. 2 - How can a multidimensional table differ from a...Ch. 2 - Prob. 2.87CYUCh. 2 - Prob. 2.88CRPCh. 2 - The owner of a restaurant that serves...Ch. 2 - Suppose that the owner of the restaurant in...Ch. 2 - Prob. 2.94CRPCh. 2 - One of the major measures of the quality of...Ch. 2 - Prob. 2.98CRPCh. 2 - The file CEO-Compensation includes the total...Ch. 2 - Prob. 2.100CRPCh. 2 - What was the average price of a room at two-star,...Ch. 2 - Prob. 2.102CRPCh. 2 - Prob. 2.103CRPCh. 2 - The following data (stored in Drink) represent...Ch. 2 - Prob. 2.106CRPCh. 2 - Prob. 2.109RWE
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- 2.21 The manufacturing company in Problem 2.20 also produces electric insulators. If the insulators break when in use, a short circuit is likely to occur. To test the strength of the insulators, destructive testing in high-powered labs is carried out to determine how much force is required to break the insulators. Force is mea- sured by observing how many pounds must be applied to the insu- lator before it breaks. The force measurements, collected from a sample of 30 insulators and stored in Force , are:1,870 1,728 1,656 1,610 1,634 1,784 1,592 1,662 1,866 1,764 1,734 1,662 1,550 1,756 1,762 1,866 1,820 1,744 1,810 1,752 1,680 1,810 1,652 1,7361,522 1,696 1,734 1,774 1,788 1,688a. Constructafrequencydistributionandapercentagedistribution. b. Construct a cumulative percentage distribution. c. What can you conclude about the strength of the insulators ifthe company requires a force measurement of at least 1,500 pounds before the insulator breaks?arrow_forwardcalculate d and e with good working outs ...arrow_forwardMurder was committed in an air-conditioned laboratory. Dr. Quincy, the medical examiner, was summoned to the scene of the crime. One of the first things he did was to take the temperature of the corpse. At 9:23 PM, he recorded the temperature to be 20.1oC and at 9:53 Pm to be 18.7oC. He further observed that the thermostat of the air-conditioning unit was set at 16oC. After gathering all pertinent data and analyzing them for sometime, he submitted a preliminary report stating that the victim was murdered between 7 PM and 8 PM. Was Dr. Quincy's report correct? At what approximate time did the victim die? Assume that the normal body temperature of a human being, alive and well, is 37oC.arrow_forward
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