Introduction to Business Statistics
7th Edition
ISBN: 9781111792374
Author: WEIERS
Publisher: Cengage Learning
expand_more
expand_more
format_list_bulleted
Concept explainers
Videos
Textbook Question
Chapter 3, Problem 3.57CE
A quality control supervisor has taken a sample of 16 bolts from the output of a thread-cutting machine and tested their tensile strengths. The results, in tons of force required for breakage, are as follows:
2.20 1.95 2.15 2.08 1.85 1.92
2.23 2.19 1.98 2.07 2.24 2.31
1.96 2.30 2.27 1.89
a. Determine the
b. Calculate the mean absolute deviation.
c. Calculate the standard deviation and variance.
Expert Solution & Answer
Trending nowThis is a popular solution!
Students have asked these similar questions
A quality control supervisor has taken a sample of 16 bolts from the output of a thread-cutting machine and tested their tensile strengths. The results in tons of force required for brekage, are as follows: 2.20 1.95 2.15 2.08 1.85 1.92 2.23 2.19 1.98 2.07 2.24 2.31 1.96 2.30 2.27 1.89 (a) Determine the mean, median, range and midrange. (b) Calculate the mean absolute deviation (c) Calculate the standard deviation and variance. (d) Calculate the coefficient of skewness. (e) what is the i. 75th percentile ii. 68th percentile and 6th decile.
The National Transportation Safety Board wants to look at the safety of three different sizes of cars. Using the data below, determine the whether the mean pressure applied to the driver`s head during a crash is equal for each type of car at alpha = 0.01
Compact cars
Midsize cars
Full-size Cars
643
469
484
655
427
456
702
525
402
a) Ho:
Ha :
b) Decision
c) Conclusion
Compute the range and sample standard deviation for strength of the concrete (in psi). 3910, 4090, 3500, 3100, 2940, 3830, 4090, 4040
Chapter 3 Solutions
Introduction to Business Statistics
Ch. 3.2 - Determine the mean and the median wage rate for...Ch. 3.2 - Prob. 3.2ECh. 3.2 - Erika operates a website devoted to providing...Ch. 3.2 - A social scientist for a children’s advocacy...Ch. 3.2 - Prob. 3.5ECh. 3.2 - The following is a list of closing prices for 15...Ch. 3.2 - Prob. 3.7ECh. 3.2 - According to a utility company, utility plant...Ch. 3.2 - Prob. 3.9ECh. 3.2 - An observer stands at an overpass and, for each...
Ch. 3.2 - Prob. 3.11ECh. 3.2 - Prob. 3.12ECh. 3.2 - Prob. 3.13ECh. 3.2 - Prob. 3.14ECh. 3.2 - Prob. 3.15ECh. 3.3 - Prob. 3.16ECh. 3.3 - Prob. 3.17ECh. 3.3 - Prob. 3.18ECh. 3.3 - Prob. 3.19ECh. 3.3 - For a sample of 11 employers, the most recent...Ch. 3.3 - According to the U.S. Invironrnental Protection...Ch. 3.3 - For a sample of eight apartment buildings in...Ch. 3.3 - Prob. 3.23ECh. 3.3 - Prob. 3.24ECh. 3.3 - Prob. 3.25ECh. 3.3 - Prob. 3.26ECh. 3.3 - Data file XR02028 shows the depths (in meters)...Ch. 3.4 - Prob. 3.28ECh. 3.4 - According to Chebyshev’s theorem, what percentage...Ch. 3.4 - Prob. 3.30ECh. 3.4 - Prob. 3.31ECh. 3.4 - The manufacturer of an extended-life lighthulh...Ch. 3.4 - For college-bound high school seniors from a...Ch. 3.4 - For data set A, the mean is $1235, with a standard...Ch. 3.4 - Prob. 3.35ECh. 3.4 - Prob. 3.36ECh. 3.4 - Prob. 3.37ECh. 3.4 - Prob. 3.38ECh. 3.5 - Prob. 3.39ECh. 3.5 - Prob. 3.40ECh. 3.5 - Prob. 3.41ECh. 3.6 - Prob. 3.42ECh. 3.6 - For a set of data, r2 is 0.64 and the variables x...Ch. 3.6 - Prob. 3.44ECh. 3.6 - Prob. 3.45ECh. 3.6 - Prob. 3.46ECh. 3.6 - Prob. 3.47ECh. 3 - The first seven ustomers of the day at a small...Ch. 3 - A dental supplies distributor ships a customer 50...Ch. 3 - The 2007 top-grossing feature film was Spiderman...Ch. 3 - Prob. 3.51CECh. 3 - Prob. 3.52CECh. 3 - Prob. 3.53CECh. 3 - Prob. 3.54CECh. 3 - Prob. 3.55CECh. 3 - Prob. 3.56CECh. 3 - A quality control supervisor has taken a sample of...Ch. 3 - Prob. 3.58CECh. 3 - Prob. 3.59CECh. 3 - A law enforcement agency, administering...Ch. 3 - Prob. 3.61CECh. 3 - Prob. 3.62CECh. 3 - Prob. 3.63CECh. 3 - Prob. 3.64CECh. 3 - According to the Energy Information...Ch. 3 - Bride’s magazine reports the cost of the average...Ch. 3 - Prob. 3.67CECh. 3 - Prob. 3.68CECh. 3 - Prob. 3.69CE
Additional Math Textbook Solutions
Find more solutions based on key concepts
Explain the procedure for obtaining the percentage of all the possible observations that lie within the specifi...
Introductory Statistics (10th Edition)
Ten equally qualified marketing assistants are candidates for promotion to associate buyer; seven are men and t...
An Introduction to Mathematical Statistics and Its Applications (6th Edition)
Teacher Salaries
The following data from several years ago represent salaries (in dollars) from a school distri...
Elementary Statistics: A Step By Step Approach
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
the proportion of red cars in the sample and display the sampling distribution of the sample proportion on dot ...
PRACTICE OF STATISTICS F/AP EXAM
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
- Calculate the average values of the Cp and Cpk capabil-ity indices for the BOD data , assuming that LSL=5 mg/L and USL=35 mg/L. Do these val-ues of the indices indicate that the process performance is satisfactory?arrow_forwardAn article reports the following values for soil heat flux of eight plots covered with coal dust. 37.3 36.8 37.3 32.1 33.4 26.5 18.1 24.8 The mean soil heat flux for plots covered only with grass is 29.0. Assuming that the heat-flux distribution is approximately normal, does the data suggest that the coal dust is effective in increasing the mean heat flux over that for grass? Test the appropriate hypotheses using α = 0.05. Calculate the test statistic and determine the P-value. (Round your test statistic to two decimal places and your P-value to three decimal places.) t = P-valuearrow_forwardA researcher conducted a repeated measures study comparing three treatment conditions. Refer to attached images and tale to answer a to d. Mean Std. Deviation N Treatment I 1.00 1.414 5 Treatment II 5.00 2.345 5 Treatment III 6.00 1.581 5 In APA format, report the F-ratio related to the treatment effect: Is this treatment effect significant? What is the partial η2 value for the treatment effect? Is this a weak, moderate, or strong effect?arrow_forward
- An article reports the following values for soil heat flux of eight plots covered with coal dust. 37.9 37.8 37.9 35.1 35.5 27.5 18.3 24.1 The mean soil heat flux for plots covered only with grass is 29.0. Assuming that the heat-flux distribution is approximately normal, does the data suggest that the coal dust is effective in increasing the mean heat flux over that for grass? Test the appropriate hypotheses using ? = 0.05.State the appropriate hypotheses. H0: ? = 29Ha: ? > 29H0: ? = 29Ha: ? < 29 H0: ? = 29Ha: ? ≠ 29H0: ? ≠ 29Ha: ? = 29 Calculate the test statistic and determine the P-value. (Round your test statistic to two decimal places and your P-value to three decimal places.) t = P-value = State the conclusion in the problem context. Reject the null hypothesis. There is sufficient evidence to conclude that there was an increase in mean heat flux.Do not reject the null hypothesis. There is sufficient evidence to conclude that…arrow_forwardFor a certain experiment, the following values of fracture stress (in megapascals) presented below were measured for a sample of 24 mixtures of hot-mixed asphalt (HMA). Determine the median, the lower quartile, the upper quartile, and the 65th percentile of the measurements.arrow_forwardCompute the range and sample standard deviation for strength of the concrete (in psi). 3950, 4080, 3300, 3200, 2960, 3870, 4080, 4050 The range is psi.arrow_forward
- Consider the accompanying data on flexural strength (MPa) for concrete beams of a certain type. 5.6 8.9 9.7 6.3 11.3 6.3 7.9 6.5 7.0 9.0 9.7 7.3 11.6 7.7 7.4 7.2 7.8 7.0 7.3 8.2 8.7 6.8 11.8 6.8 7.7 10.7 8.1 (a) Calculate a point estimate of the mean value of strength for the conceptual population of all beams manufactured in this fashion. [Hint: Σxi = 220.3.] (Round your answer to three decimal places.) (b) Calculate a point estimate of the strength value that separates the weakest 50% of all such beams from the strongest 50%. (c) Calculate a point estimate of the population standard deviation ?. [Hint: Σxi2 = 1871.39.] (Round your answer to three decimal places.) (d) Calculate a point estimate of the proportion of all such beams whose flexural strength exceeds 10 MPa. [Hint: Think of an observation as a "success" if it exceeds 10.] (Round your answer to three decimal places.)arrow_forwardAn engineer measured the Brinell hardness of 25 pieces of ductile iron that were sub critically annealed. The resulting data were:170167174179179187179183179 156163156187156167156174170 183179174179170159187 Test hypothesis that the mean Brinell hardness of all such ductile iron pieces is greater than 170.arrow_forwardSuppose the National Transportation Safety Board (NTSB) wants to examine the safety of compact cars, midsize cars, and full-size cars. It collects a sample of three for each of the treatments (cars types). Using the hypothetical data provided below, test whether the mean pressure applied to the driver’s head during a crash test is equal for each types of car. Use α = 5%. Compact cars Midsize cars Full-size cars 643 469 484 655 427 456 702 525 402 Mean 666.67 473.67 447.33 Standard deviation 31.18 49.17 41.68arrow_forward
- The Goodman Tire and Rubber Company periodically tests its tires for tread wear under simulated road conditions. To study and control the manufacturing process, 20 samples, each containing three radial tires, were chosen from different shifts over several days of operation, with the following results. Tread wear measurements are in hundredths of an inch. Sample Tread Wear 1 31 42 28 2 26 18 35 3 25 30 34 4 17 25 21 5 38 29 35 6 41 42 36 7 21 17 29 8 32 26 28 9 41 34 33 10 29 17 30 11 26 31 40 12 23 19 25 13 17 24 32 14 43 35 17 15 18 25 29 16 30 42 31 17 28 36 32 18 40 29 31 19 18 29 28 20 22 34 26 Assuming that these data were collected when the manufacturing process was believed to be operating in control, develop the R chart. Compute the upper and lower control limits for the R chart. (Round your answers to two decimal places.) Assuming that these data were collected when the manufacturing process was believed to be operating in…arrow_forwardA consumer group, concerned about the mean fat content of a certain grade of ground beef, submits a random sample 12 packets of ground beef for analysis, to an independent laboratory. The percentage of fat from each packet is as follows Sample Percentage of Fat 1 21 2 18 3 19 4 16 5 18 6 24 7 22 8 19 9 24 10 14 11 18 12 15 The manufacturer claims that the mean fat content for this grade of ground beef is less than 20%. Assuming that the percentage fat content is normally distributed with a standard deviation of 3, conduct the appropriate hypothesis test and advise the consumer group about the validity of the manufacturer’s claim.arrow_forwardThe article “Structural Performance of Rounded Dovetail Connections Under Different Loading Conditions” (T. Tannert, H. Prion, and F. Lam, Can J Civ Eng, 2007:1600–1605) describes a study of the deformation properties of dovetail joints. In one experiment, 10 rounded dovetail connections and 10 double rounded dovetail connections were loaded until failure. The rounded connections had an average load at failure of 8.27 kN with a standard deviation of 0.62 kN. The double-rounded connections had an average load at failure of 6.11 kN with a standard deviation of 1.31 kN. Can you conclude that the mean load at failure is greater for rounded connections than for double-rounded connections?arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
MATLAB: An Introduction with ApplicationsStatisticsISBN:9781119256830Author:Amos GilatPublisher:John Wiley & Sons Inc
Probability and Statistics for Engineering and th...StatisticsISBN:9781305251809Author:Jay L. DevorePublisher:Cengage Learning
Statistics for The Behavioral Sciences (MindTap C...StatisticsISBN:9781305504912Author:Frederick J Gravetter, Larry B. WallnauPublisher:Cengage Learning
Elementary Statistics: Picturing the World (7th E...StatisticsISBN:9780134683416Author:Ron Larson, Betsy FarberPublisher:PEARSON
The Basic Practice of StatisticsStatisticsISBN:9781319042578Author:David S. Moore, William I. Notz, Michael A. FlignerPublisher:W. H. Freeman
Introduction to the Practice of StatisticsStatisticsISBN:9781319013387Author:David S. Moore, George P. McCabe, Bruce A. CraigPublisher:W. H. Freeman
MATLAB: An Introduction with Applications
Statistics
ISBN:9781119256830
Author:Amos Gilat
Publisher:John Wiley & Sons Inc
Probability and Statistics for Engineering and th...
Statistics
ISBN:9781305251809
Author:Jay L. Devore
Publisher:Cengage Learning
Statistics for The Behavioral Sciences (MindTap C...
Statistics
ISBN:9781305504912
Author:Frederick J Gravetter, Larry B. Wallnau
Publisher:Cengage Learning
Elementary Statistics: Picturing the World (7th E...
Statistics
ISBN:9780134683416
Author:Ron Larson, Betsy Farber
Publisher:PEARSON
The Basic Practice of Statistics
Statistics
ISBN:9781319042578
Author:David S. Moore, William I. Notz, Michael A. Fligner
Publisher:W. H. Freeman
Introduction to the Practice of Statistics
Statistics
ISBN:9781319013387
Author:David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:W. H. Freeman
The Shape of Data: Distributions: Crash Course Statistics #7; Author: CrashCourse;https://www.youtube.com/watch?v=bPFNxD3Yg6U;License: Standard YouTube License, CC-BY
Shape, Center, and Spread - Module 20.2 (Part 1); Author: Mrmathblog;https://www.youtube.com/watch?v=COaid7O_Gag;License: Standard YouTube License, CC-BY
Shape, Center and Spread; Author: Emily Murdock;https://www.youtube.com/watch?v=_YyW0DSCzpM;License: Standard Youtube License