EBK BUSINESS STATISTICS
7th Edition
ISBN: 8220102743984
Author: STEPHAN
Publisher: PEARSON
expand_more
expand_more
format_list_bulleted
Concept explainers
Videos
Textbook Question
Chapter 3, Problem 3.61CRP
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 Force contains the strengths, as follows:
- Compute the mean, median,
range , and standard deviation for the force needed to break the insulators. - Interpret the measures of
central tendency and variability in (a). - Construct a boxplot and describe its shape.
- What can you conclude about the strength of the insulators if the company requires a force of at least 1,500 pounds before breakage?
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
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).
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…
local fast-food res
et y denote the ca
Chapter 3 Solutions
EBK BUSINESS STATISTICS
Ch. 3 - The following set of data is from a sample of n =...Ch. 3 - The following set of data is from a sample of n =...Ch. 3 - The set of data is from a sample of n = 7: 12 7 4...Ch. 3 - The following set of data is from a sample of n =...Ch. 3 - Prob. 3.5ACCh. 3 - The operations manager of a plant that...Ch. 3 - Prob. 3.7ACCh. 3 - Prob. 3.8ACCh. 3 - The file Sedans contains the overall miles per...Ch. 3 - Prob. 3.10AC
Ch. 3 - Prob. 3.11ACCh. 3 - Prob. 3.12ACCh. 3 - Is there a difference in the variation of the...Ch. 3 - Prob. 3.14ACCh. 3 - A bank branch located in a commercial district of...Ch. 3 - Prob. 3.16ACCh. 3 - Using the three-year return percentage variable in...Ch. 3 - Prob. 3.18ACCh. 3 - Using the three-year return percentage variable in...Ch. 3 - Using the three-year return percentage variable in...Ch. 3 - Prob. 3.21LBCh. 3 - The following is a set of data from a sample of n...Ch. 3 - Prob. 3.23LBCh. 3 - Prob. 3.24LBCh. 3 - Prob. 3.25ACCh. 3 - The file MarketPenetration contains Facebook...Ch. 3 - Prob. 3.27ACCh. 3 - Prob. 3.28ACCh. 3 - Prob. 3.29ACCh. 3 - Prob. 3.30ACCh. 3 - Prob. 3.31LBCh. 3 - The following is a set of data for a population...Ch. 3 - Consider a population of 1,024 mutual funds that...Ch. 3 - Prob. 3.35ACCh. 3 - The file Energy contains the per capita energy...Ch. 3 - Prob. 3.37ACCh. 3 - The following is a set of data from a sample of n...Ch. 3 - Prob. 3.39ACCh. 3 - The file CEREALS lists the calories and sugar, in...Ch. 3 - Movie companies need to predict the gross receipts...Ch. 3 - Prob. 3.42ACCh. 3 - Prob. 3.43ACCh. 3 - Prob. 3.44CYUCh. 3 - Prob. 3.45CYUCh. 3 - What are the differences among the mean, median,...Ch. 3 - Prob. 3.47CYUCh. 3 - Prob. 3.48CYUCh. 3 - Prob. 3.49CYUCh. 3 - Prob. 3.50CYUCh. 3 - Prob. 3.51CYUCh. 3 - Prob. 3.52CYUCh. 3 - Prob. 3.53CYUCh. 3 - Prob. 3.54CYUCh. 3 - Prob. 3.55CYUCh. 3 - How do the covariance and the coefficient of...Ch. 3 - Prob. 3.57CRPCh. 3 - Prob. 3.58CRPCh. 3 - One of the major measures of the quality of...Ch. 3 - Prob. 3.60CRPCh. 3 - The manufacturing company in Problem 3.60 also...Ch. 3 - Prob. 3.62CRPCh. 3 - Prob. 3.63CRPCh. 3 - Prob. 3.64CRPCh. 3 - Prob. 3.66CRPCh. 3 - The file PropertyTaxes contains the property...Ch. 3 - 311 is Chicagos web and phone portal for...Ch. 3 - How much time do Americans living in or near...Ch. 3 - You are planning to study for your statistics...Ch. 3 - Prob. 3.74RWE
Additional Math Textbook Solutions
Find more solutions based on key concepts
AVX Home Entertainment, Inc., recently began a “no-hassles” return policy. A sample of 500 customers who recent...
EBK STATISTICAL TECHNIQUES IN BUSINESS
A father rates his daughter as a 2 on a 7-point scale (from 1 to 7) of crankiness. In this example, (a) what is...
Statistics for Psychology
In a test of the quality of two television commercials, each commercial was shown in a separate test area six t...
Statistics for Business & Economics, Revised (MindTap Course List)
Use the model developed in Example 1.5 to predict the total sales for weeks 2 through 16, and compare the resul...
Business Analytics
the type of variable is the response.
Stats: Modeling the World Nasta Edition Grades 9-12
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.Similar questions
- The height of 10 skeletons (denoted by the variable stature) and the length of the middle metacarpal bone were measured (the metacarpal bones are in the hand between the wrist and fingers). The skeletal height is measured in centimeters and the metacarpal length in millimeters. The scatterplot is given below. X 1. Describe what the scatterplot tells you about the direction, form, and strength of the relationship. stature (cm) 180.0 172.5 165.0 157.5 - . + + 51 39 45 metacarpal size (mm) 2. In this setting, is there a definite explanatory variable and response variable? Justify your answer. 3. Estimate the correlation between metacarpal length and stature. No calculations are necessary. 4. If the height and metacarpal length of the skeletons had been measured in inches, instead of centimeters and millimeters, how would the correlation between stature and metacarpal length for these 10 skeletons have been affected? Explain. 5. One of these skeletons (identified by the X) had a metacarpal…arrow_forwardThe numbers and frequencies associated with throwing one astragalus (which can only rest on one of four sides) were: Number Percentage of times the astragalus lands on a particular side "1" (lateral side: flat and narrow) 10 "3" (lower side: broad and concave) 40 “4" (upper side: broad and convex) 40 “6" (lateral side: flat and slightly hollow) 10 F. N. David used a modern sheep astragalus to estimate the chances of its landing on each of the four sides and provided us with the frequencies that we considered for the "fair" astragalus4. You attempt to check that the frequency of getting a "1" that we used for a "fair" astragalus is accurate by conducting an experiment of your own. Your experiment consists of throwing a goat astragalus 1,000 times. Out of your sample of 1,000 throws of the goat astragalus, 89 times it landed on "1". (a) Write the null and the alternative hypothesis that the population proportion of "1"s obtained from throwing a goat astragalus is the same as the number…arrow_forwardIn the experiment, a group of college students was told that they were participating in a manual dexterity study. Half of the students were given a stack of money to count and the other half got a stack of blank pieces of paper. After the counting task, the participants were asked to dip their hands into bowls of very hot water (122°F) and rate how uncomfortable it was. The following data show ratings of pain similar to the results obtained in the study. A. State null and alternative hypotheses b. Report results of statistical test, i.e., significant or not? Use .05 2-tailed alpha level. (what error might you be making) c. Report Cohen’s d value and interpretarrow_forward
- A civil engineer tested two different types (A and B) of a special reinforced concrete beam. He made nine test beams (five A 's and 4 B's) and measured the strength of each. From the following strength data (in coded units) he wants to decide whether there is any real difference between the two types. Type A 67 80 106 83 89 Type B 45 71 87 53 1. Use Wilcoxon-Mann-Whitney test to answer this question2. Use unpaired t-test, assuming equal variances between groups, to answer this question 3. Use unpaired t-test, assuming unequal variances between two groups, to answer thisquestionarrow_forwardPulling Apart Wood. How heavy a load (in pounds) is 4step needed to pull apart pieces of Douglas fir 4 inches long and 1.5 inches square? Here are data from students doing a laboratory exercise: 33,190 31,860 32,590 26,520 33,280 32,320 33,020 32,030 30,460 32,700 23,040 30,930 32,720 33,650 32.340 24,050 30,170 31,300 28,730 31,920 We are willing to regard the wood pieces prepared for the lab session as an SRS of all similar pieces of Douglas fir. Engineers also commonly assume that characteristics of materials vary Normally. Suppose that the strength of pieces of wood like these follows a Normal distribution, with standard deviation 3000 pounds. Is there statistically significant evidence at thea = 0.10 level against the hypothesis that the meanis 32,500 pounds for the two-sided alternative? Is there statistically significant evidence at thea = 0.10 level against the hypothesis that the meanis 31,500 pounds for the two-sided alternative?arrow_forwardA sociologist wants to determine if the life expectancy of people in Africa is less than the life expectancy of people in Asia. The data obtained is shown in the table below. Africa Asia = 63.3 yr. 1 X,=65.2 yr. 2 o, = 9.1 yr. = 7.3 yr. n1 = 120 = 150arrow_forward
- The concentration of carbon dioxide (CO2) in the atmosphere is increasing rapidly due to our use of fossil fuels. Because plants use CO2 to fuel photosynthesis, more CO, may cause trees and other plants to grow faster. An elaborate apparatus allows researchers to pipe extra CO, to a 30-meter circle of forest. They selected two nearby circles in each of three parts of a pine forest and randomly chose one of each pair to receive extra CO,. The response variable is the mean increase in base area for 30 to 40 trees in a circle during a growing season. We measure this in percent increase per year. Here are one year's data. Control plot - Control Treated plot 10.547 Pair Treated 9.732 0.815 7.273 9.244 1.971 5.762 8.675 2.913 (a) State the null and alternative hypotheses. (Where u is the mean difference, treated minus control.) Но: и На: и Explain clearly why the investigators used a one-sided alternative. The researchers have no preconceived idea what extra CO, will do to the growth rate.…arrow_forwardThe concentration of carbon dioxide (CO2) in the atmosphere is increasing rapidly due to our use of fossil fuels. Because plants use CO2 to fuel photosynthesis, more CO2 may cause trees and other plants to grow faster. An elaborate apparatus allows researchers to pipe extra CO2 to a 30-meter circle of forest. They selected two nearby circles in each of three parts of a pine forest and randomly chose one of each pair to receive extra CO2. The response variable is the mean increase in base area for 30 to 40 trees in a circle during a growing season. We measure this in percent increase per year. Here are one year's data. Pair Control plot Treated plot Treated - Control 9.782 10.647 0.865 2 7.283 9.254 1.971 3 5.712 8.695 2.983 (a) State the null and alternative hypotheses. (Where u is the mean difference, treated minus control.) Но: и На: и ? : Explain clearly why the investigators used a one-sided alternative. The researchers have no preconceived idea what extra CO2 will do to the growth…arrow_forwardBased on the chart provided ? Please solve appropriate value for Phi and its effect size ? Solve for A-E A.Since the appropriate value for phi for this data is ___ and the effect side is ___( small, medium, large ) B.A.Since the appropriate value for phi for this data is ___ and the effect side is ___( small, medium, large ) c.A.Since the appropriate value for phi for this data is ___ and the effect side is ___( small, medium, large ) D.A.Since the appropriate value for phi for this data is ___ and the effect side is ___( small, medium, large ) E.A.Since the appropriate value for phi for this data is ___ and the effect side is ___( small, medium, large )arrow_forward
- How would I solve this problem?arrow_forwardVOLTE 13 A researcher in a large university believes that the mean health care expenses of the university differ from the national average of $1570. A sample of 50 people shows an average of $1680 and a standard deviation is $180. Can we say that the mean health care expenses differ from the national average at a= 0.05 ?. (Click the link below to get normal-table values) https://drive.google.com/file/d/1rLJzsws5fYwv usp=sharing (a) Hypothesis: ( If the hypothesis is Ho: u1570 then write 1 in the answer box. If the hypothesis is Ho: u > 1570 and H1: u <1570 then write 2 in the answer box If the hypothesis is Ho: u = 1570 and H1: #1570 then write 3 in the answer box) (b) Critical value = (Example: 3.56) (c) Test Statistic or Calculated value = ( Example : 7.89)arrow_forwardConsider the following: In general, when people diet they typically lose 10 lbs. (?σ = 2). A random sample of 16 people on the keto diet lost 15 lbs. Do people on the keto diet lose more or less weight than people on diets in general? 4. What is the research hypothesis? a) Weight loss in the keto diet sample does not differ from weight loss in the population of dieters in general (H1: X-bar = Mu) b)Weight loss in the keto diet sample does differ from weight loss in the population of dieters in general (H1: X-bar = Mu) c) Weight loss in the keto diet sample does not differ from weight loss in the population of dieters in general (H1: X-bar does not equal Mu) d) Weight loss in the keto diet sample does differ from weight loss in the population of dieters in general (H1: X-bar does not equal Mu)arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
Holt Mcdougal Larson Pre-algebra: Student Edition...AlgebraISBN:9780547587776Author:HOLT MCDOUGALPublisher:HOLT MCDOUGAL
Glencoe Algebra 1, Student Edition, 9780079039897...AlgebraISBN:9780079039897Author:CarterPublisher:McGraw Hill
Holt Mcdougal Larson Pre-algebra: Student Edition...
Algebra
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Glencoe Algebra 1, Student Edition, 9780079039897...
Algebra
ISBN:9780079039897
Author:Carter
Publisher:McGraw Hill
Probability & Statistics (28 of 62) Basic Definitions and Symbols Summarized; Author: Michel van Biezen;https://www.youtube.com/watch?v=21V9WBJLAL8;License: Standard YouTube License, CC-BY
Introduction to Probability, Basic Overview - Sample Space, & Tree Diagrams; Author: The Organic Chemistry Tutor;https://www.youtube.com/watch?v=SkidyDQuupA;License: Standard YouTube License, CC-BY