Introduction to Statistics and Data Analysis
5th Edition
ISBN: 9781305445963
Author: PECK
Publisher: Cengage
expand_more
expand_more
format_list_bulleted
Videos
Textbook Question
Chapter 11, Problem 67CR
When a surgeon repairs injuries, sutures (stitched knots) are used to hold together and stabilize the injured area. If these knots elongate and loosen through use, the injury may not heal properly because the tissues would not be optimally positioned. Researchers at the University of California, San Francisco, tied a series of different types of knots with two types of suture material, Maxon and Ticron.
Suppose that 112 tissue specimens were available and that for each specimen the type of knot and suture material were randomly assigned. The investigators tested the knots to see how much the loops elongated. The elongations (in mm) were measured and the resulting data are summarized here.
For purposes of this exercise, assume it is reasonable to regard the elongation distributions as approximately normal.
- a. Is there a significant difference in
mean elongation between the square knot and the Duncan loop for Maxon thread? - b. Is there a significant difference in mean elongation between the square knot and the Duncan loop for Ticron thread?
- c. For the Duncan loop knot, is there a significant difference in mean elongation between the Maxon and Ticron threads?
Expert Solution & Answer
Trending nowThis is a popular solution!
Students have asked these similar questions
The Coruro’s Burrow. The subterranean coruro (Spalacopus cyanus) is a social rodent that lives in large colonies in underground burrows that can reach lengths of up to 600 meters. Zoologists S. Begall and M. Gallardo studied the characteristics of the burrow systems of the subterranean coruro in central Chile and published their findings in the paper “Spalacopus cyanus (Rodentia: Octodontidae): An Extremist in Tunnel Constructing and Food Storing among Subterranean Mammals” (Journal of Zoology, Vol. 251, pp. 53–60). A sample of 51 burrows had the depths, in centimeters (cm), presented on the WeissStats site. Use the technology of your choice to do the following.
a. Obtain a normal probability plot, boxplot, histogram, and stemand-leaf diagram of the data.
b. Based on your results from part (a), can you reasonably apply the t-interval procedure to the data? Explain your reasoning.
c. Find and interpret a 90% confidence interval for the mean depth of all subterranean coruro burrows.
3) An inventor has developed a new spray coating that is designed to improve the wear of bicycle tires. To test
the new coating, the inventor randomly selects one of the two tires on each of 50 bicycles to be coated with
the new spray. The bicycle is then driven for 100 miles and the amount of the depth of the tread left on the
two bicycle tires is measured (in millimeters). It is desired to determine whether the new spray coating
improves the wear of the bicycle tires. The data and summary information is shown below:
Bicycle | Coated Tire (C) | Non-Coated Tire (N)
0.785
1.452
1.634
0.844
50
1.211
0.954
Coated
Non-Coated Difference
Мean
1.38
0.85
0.53
Std. Dev.
0.12
0.11
0.06
Sample Size
50
50
50
Use the summary data to calculate the test statistic to determine if the new spray coating improves the mean
wear of the bicycle tires.
A) z = 62.46
В) — 34.25
C) z = 55.26
D) z = 23.02
A router is used to cut locating notches on a printed circuit board. The vibration level at the surface of the board as it is cut is considered to be a major source of dimensional variation in the notches. Two factors are thought to influence vibration: bit size (A) and cutting speed (B). Two bit sizes (1/16 and 1/8 inch) and two speeds (40 and 90 rpm) are selected, and four boards are cut at each set of conditions shown below. The response variable is vibration measured as a resultant vector of three accelerometers (x, y, and z) on each test circuit board.
(a) Analyze this experiment assuming that each one of the four replicates represent a block.
(b)
Chapter 11 Solutions
Introduction to Statistics and Data Analysis
Ch. 11.1 - Consider two populations for which 1 = 30, 1 = 2,...Ch. 11.1 - An individual can take either a scenic route to...Ch. 11.1 - Prob. 3ECh. 11.1 - Prob. 4ECh. 11.1 - The article Plugged In, but Tuned Out (USA TODAY,...Ch. 11.1 - Prob. 6ECh. 11.1 - Prob. 7ECh. 11.1 - The paper If Its Hard to Read, Its Hard to Do...Ch. 11.1 - Is injecting medical cement effective in reducing...Ch. 11.1 - Prob. 10E
Ch. 11.1 - Prob. 11ECh. 11.1 - The paper Mood Food: Chocolate and Depressive...Ch. 11.1 - Prob. 13ECh. 11.1 - Example 11.1 looked at a study comparing students...Ch. 11.1 - Prob. 15ECh. 11.1 - Prob. 16ECh. 11.1 - A newspaper story headline reads Gender Plays Part...Ch. 11.1 - Prob. 18ECh. 11.1 - Fumonisins are environmental toxins produced by a...Ch. 11.1 - A researcher at the Medical College of Virginia...Ch. 11.1 - Do certain behaviors result in a severe drain on...Ch. 11.2 - Suppose that you were interested in investigating...Ch. 11.2 - Head movement evaluations are important because...Ch. 11.2 - To determine if chocolate milk was as effective as...Ch. 11.2 - The humorous paper Will Humans Swim Faster or...Ch. 11.2 - The study described in the paper Marketing Actions...Ch. 11.2 - Prob. 27ECh. 11.2 - The paper Less Air Pollution Leads to Rapid...Ch. 11.2 - The paper The Truth About Lying in Online Dating...Ch. 11.2 - Prob. 30ECh. 11.2 - Prob. 31ECh. 11.2 - The paper Quantitative Assessment of Glenohumeral...Ch. 11.2 - Two proposed computer mouse designs were compared...Ch. 11.2 - Prob. 34ECh. 11.2 - Prob. 35ECh. 11.2 - The authors of the paper Ultrasound Techniques...Ch. 11.3 - Some people seem to believe that you can fix...Ch. 11.3 - Prob. 38ECh. 11.3 - After the 2010 earthquake in Haiti, many...Ch. 11.3 - Prob. 40ECh. 11.3 - The report Audience Insights: Communicating to...Ch. 11.3 - Prob. 42ECh. 11.3 - Prob. 43ECh. 11.3 - Prob. 44ECh. 11.3 - The article Fish Oil Staves Off Schizophrenia (USA...Ch. 11.3 - The report Young People Living on the Edge...Ch. 11.3 - Prob. 47ECh. 11.3 - Prob. 48ECh. 11.3 - Prob. 49ECh. 11.3 - Prob. 50ECh. 11.3 - Prob. 51ECh. 11.3 - The article Spray Flu Vaccine May Work Better Than...Ch. 11.3 - Prob. 53ECh. 11.3 - The following quote is from the article Canadians...Ch. 11.3 - Prob. 55ECh. 11.3 - Women diagnosed with breast cancer whose tumors...Ch. 11.3 - Prob. 57ECh. 11.4 - The paper The Psychological Consequences of Money...Ch. 11.4 - An experiment to determine if an online...Ch. 11.4 - The paper Ready or Not? Criteria for Marriage...Ch. 11 - Prob. 61CRCh. 11 - Prob. 62CRCh. 11 - A deficiency of the trace element selenium in the...Ch. 11 - Prob. 64CRCh. 11 - Prob. 65CRCh. 11 - In a study of a proposed treatment for diabetes...Ch. 11 - When a surgeon repairs injuries, sutures (stitched...Ch. 11 - Prob. 68CRCh. 11 - In a study of memory recall, eight students from a...Ch. 11 - As part of a study to determine the effects of...Ch. 11 - Prob. 71CRCh. 11 - Prob. 72CRCh. 11 - The article Truth and DARE: Tracking Drug...Ch. 11 - The article Softball Sliding Injuries (American...Ch. 11 - Prob. 75CRCh. 11 - Wayne Gretzky was one of ice hockeys most prolific...Ch. 11 - Heres one to sink your teeth into: The authors of...Ch. 11 - Prob. 78CRCh. 11 - Dentists make many people nervous. To see whether...Ch. 11 - Prob. 80CRCh. 11 - Prob. 81CRCh. 11 - Both surface soil and subsoil specimens were taken...
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
- Compute dimensions A, B, C, D, and E of the support bracket shown in Figure 191. All dimensions are given in inches. A=_B=_C=_D=_E=_arrow_forwardThe 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…arrow_forwardParent W requires one of component B and two of component C. Both B and Care run on work center 10. Setup time for B is 2 hours, and run time is 0.1 hour perpiece. For component C, setup time is 2 hours, and run time is 0.15 hour per piece. Ifthe rated capacity of the work center is 80 hours, how many Ws should be producedin a week?arrow_forward
- Please answer the question on the photo.arrow_forwardThe desired distance for Flextronchip customers is 0.4 mm between two adjacent pins. Any deviation from this value causes interference. The process of handling complaints costs the firm at approximately $30.00 per chip. The engineers of the firm expect the average customer will be likely to complain when the distance is off target by at least 0.0002 mm. At the factory, the adjustment can be made at a cost of $1.40, which includes the labor to make the adjustment and additional testing. Required: 1. What is the value of k, the cost coefficient, in the Taguchi quality loss function (QLF) based on the above data? 2. Based on a Taguchi quality loss function (QLF), what should the tolerance be before an adjustment is made at the factory? 3. Based on your answer to (requirement 2) above, what are the specification limits (upper and lower) for the production of the product in question? Complete this question by entering your answers in the tabs below. Required 2 Required 3 What is the value…arrow_forwardHectic Repair Org. HRO) helps repair homes that are structurally weakened by minor earthquakes. After an earthquake, SmartProtect, an insurance company of some affected customers in the area estimates that the standard time to perform a preliminary damage assessment on an average-sized house would be about two hours. On behalf of the affected customers, SmartProtect is willing to pay a HRO employee doing such damage assessments $65 per hour. Suppose that Michael (an employee at HCRO who does flood damage assessment) takes three hours to complete the assessment on an average-sized house. What is Michael efficiency based on the standard time estimated by SmartProtect? a. Approximately one hundred and fifty percent. b. About one-third of an assessment job per hour c. Approximately one hundred and thirty dollars per assessment d. Approximately one hundred and ninety five dollars per assessment (before taxes) e. Approximately sixty seven percent.arrow_forward
- Ornithologists have determined that some species of birds tend to avoid flights over large bodies of water during daylight hours. It is believed that more energy is required to fly over water than land because air generally rises over land and falls over water during the day. A bird with these tendencies is released from an island that is 4 km from the nearest point B on the shoreline, flies to a point C on the shoreline, and then flies along the shoreline to its nesting area D. Assume that the bird instinctively chooses a path that will minimize its energy expenditure. Points B and D are 9 km apart. (Round your answers to two decimal places.) island (a) In general, if it takes 1.2 times as much energy to fly over water as land, to what point C should the bird fly in order to minimize the total energy expended in returning to its nesting area? X km from B 10.55 W (b) Let W and L denote the energy (in joules) per kilometer flown over water and land, respectively. Assuming the bird's…arrow_forwardA) In the moving observer method, six runs have been made in each north and south direction for a test section length of 0.75 miles in an average of 2 minutes for each traffic direction. The traffic volume was 900 and 825 veh/hr for the north and south direction, respectively. Estimate the number of vehicles met by test car and average travel speed measured by test car: a. No vehicle overtakes the test car, and no vehicle passed by the test car while traveling in the north direction. b. The average number of vehicles passed by test car was 2 more than the average number of vehicles that overtake test car while traveling in the south direction.arrow_forwardThree different corrosion-resistant coatings are being considered for use on iron pipes. Ten pieces of pipe are marked off in six equal segments. For each pipe, two segments received coating A, two received coating B, and the remaining two received coating C. The pipes were placed in a corrosive environment for a period of time; then the depth of the deepest pit (in mm) caused by corrosion was measured for each segment on each pipe. The effect of interest is the coating; the pipe is a blocking factor, and there were two replications on each pipe. The following sums of squares were calculated: sum of squares for blocks = 11.2, sum of squares for treatments = 4.8, sum of squares for interactions = 18.4, total sum of squares = 44.7. a) Construct an ANOVA table. You may give ranges for the P-values. b) Are the assumptions for a randomized complete block design satisfied? Explain. c) Does the ANOVA table provide evidence that mean pit depth differs among coatings? Explain.arrow_forward
- Q2) Researchers at a paint manufacturer are trying to develop a new type of gloss paint with a shorter drying time than the current product. In order to test whether the drying time has been reduced, the researchers paint a square metre of each of the new and old paints on each of 10 different surfaces. The time, in hours, that each square metre takes to dry is recorded in the table below: Surface 1 2 3 4 5 6 7 8 9 10 Old paint 17.1 17.3 16.9 17.4 17.5 17.3 16.6 17.5 18.0 17.6 New paint 16.6 17.2 17.0 17.1 17.6 16.5 16.9 17.3 17.3 16.9 (a) Test, at the 0.05 level of significance, whether there is any reduction in the mean drying time. (b) State the assumption required to carry out the test in (a). (c) Find the p-value of the test in (a). (?? Marks)arrow_forwardIn relation to an evaluation of a natural park you have collected data on the visitors, and obtaineddata for the travel costs and their zones of origin, i.e. basic data needed when applying the TravelCost Method.All visitors come by car and there’s only one person in each car. There are four different zones (Iclose, and IV most far away) and the total cost per person is given in the table below. Give a short explanation of the TCM. Would it be possible to do a reasonable TCM analysis from these data? Zone Travel cost per person($) Total population ineach zone Annual number ofvisitors from eachzone I 10 4000 400 II 15 3000 250 III 20 3500 410 IV 25 4000 450arrow_forwardPlease show workarrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
Mathematics For Machine TechnologyAdvanced MathISBN:9781337798310Author:Peterson, John.Publisher:Cengage Learning,
Elementary Geometry For College Students, 7eGeometryISBN:9781337614085Author:Alexander, Daniel C.; Koeberlein, Geralyn M.Publisher:Cengage,
Mathematics For Machine Technology
Advanced Math
ISBN:9781337798310
Author:Peterson, John.
Publisher:Cengage Learning,
Elementary Geometry For College Students, 7e
Geometry
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Cengage,
Solve ANY Optimization Problem in 5 Steps w/ Examples. What are they and How do you solve them?; Author: Ace Tutors;https://www.youtube.com/watch?v=BfOSKc_sncg;License: Standard YouTube License, CC-BY
Types of solution in LPP|Basic|Multiple solution|Unbounded|Infeasible|GTU|Special case of LP problem; Author: Mechanical Engineering Management;https://www.youtube.com/watch?v=F-D2WICq8Sk;License: Standard YouTube License, CC-BY
Optimization Problems in Calculus; Author: Professor Dave Explains;https://www.youtube.com/watch?v=q1U6AmIa_uQ;License: Standard YouTube License, CC-BY
Introduction to Optimization; Author: Math with Dr. Claire;https://www.youtube.com/watch?v=YLzgYm2tN8E;License: Standard YouTube License, CC-BY