Concept explainers
You have just been hired as the quality control manager for Pressure Point Manufacturing, a company producing fuel injection systems for General Motors, Fold, and Chrysler. Top management has requested a status report on the number of defective units produced each day. You decide to keep track of the number of defects each day for 30 days. Following are the results of your survey.
Pressure Point Manufacturing—Defects per Jay—Survey I
11 | 13 | 17 | 13 | 15 | 9 | 14 | 11 | 13 | 15 | 11 | 10 | 14 | 12 | 15 |
19 | 15 | 13 | 17 | 9 | 20 | 13 | 14 | 18 | 16 | 15 | 14 | 17 | 18 | 13 |
a. Find the mean. median, mode, and range of these data for your report to top management.
After implementing your suggestions for improved quality on the production line, you decide to survey the defects for another 30 days with the following results:
Pressure Point Manufacturing—Defects per Jay—Survey 2
11 | 9 | 12 | 7 | 8 | 10 | 12 | 8 | 9 | 10 | 9 | 7 | 11 | 12 | 8 |
7 | 9 | 11 | 8 | 6 | 12 | 10 | 8 | 8 | 7 | 9 | 6 | 10 | 9 | 11 |
b. Find the mean. median, mode, and range of the new data.
c. If the company’s cost to fix each defective unit is $75, use the mean of each survey to calculate the average cost per day for defects before and after your improvements.
d. Theoretically, how much will your improvements save the company in a 300-day production year?
e. Congratulations! The company has awarded you a bonus amounting to
Want to see the full answer?
Check out a sample textbook solutionChapter 21 Solutions
Contemporary Mathematics for Business & Consumers
Additional Math Textbook Solutions
Pathways To Math Literacy (looseleaf)
Precalculus
College Algebra Essentials (5th Edition)
Finite Mathematics for Business, Economics, Life Sciences and Social Sciences
Elementary Statistics ( 3rd International Edition ) Isbn:9781260092561
Intermediate Algebra (13th Edition)
- Cholesterol Cholesterol in human blood is necessary, but too much can lead to health problems. There are three main types of cholesterol: HDL (high-density lipoproteins), LDL (low-density lipoproteins), and VLDL (very low-density lipoproteins). HDL is considered “good” cholesterol; LDL and VLDL are considered “bad” cholesterol. A standard fasting cholesterol blood test measures total cholesterol, HDL cholesterol, and triglycerides. These numbers are used to estimate LDL and VLDL, which are difficult to measure directly. Your doctor recommends that your combined LDL/VLDL cholesterol level be less than 130 milligrams per deciliter, your HDL cholesterol level be at least 60 milligrams per deciliter, and your total cholesterol level be no more than 200 milligrams per deciliter. (a) Write a system of linear inequalities for the recommended cholesterol levels. Let x represent the HDL cholesterol level, and let y represent the combined LDL VLDL cholesterol level. (b) Graph the system of inequalities from part (a). Label any vertices of the solution region. (c) Is the following set of cholesterol levels within the recommendations? Explain. LDL/VLDL: 120 milligrams per deciliter HDL: 90 milligrams per deciliter Total: 210 milligrams per deciliter (d) Give an example of cholesterol levels in which the LDL/VLDL cholesterol level is too high but the HDL cholesterol level is acceptable. (e) Another recommendation is that the ratio of total cholesterol to HDL cholesterol be less than 4 (that is, less than 4 to 1). Identify a point in the solution region from part (b) that meets this recommendation, and explain why it meets the recommendation.arrow_forwardDetermine if the following scenarios involve an observational study or an experiment. Make sure your answers are legible and spelled correctly. A team of ecologists determines the different species of frogs that live in the local swamplands. A medical researcher divides patients into a treatment group and a control group to determine the effect of a new drug on overall cholesterol levels in patients. A medical insurance company determines the average cost to cover a tooth extraction procedure over the past 3 years. As part of a medical study to determine the effectiveness of a new technique for abdominal surgery, patients undergo the surgery with the new technique or with a traditional technique. The recovery time from surgery is then compared for the two different techniques. The general manager of a baseball team determines the on-base percentage (OBP) for his players over the past two seasons. A dietitian examined the effectiveness of a weight-loss program by randomly…arrow_forwardMORTALITY RATE Table 3.5 provides the number of deaths from all causes and from accidents (unintentional injuries) by age group in the United States in 2002. Review the following rates. Determine what to call each one, then calculate it using the data provided in Table. 1. Unintentional-injury-specific mortality rate for the entire population. Calculate cause-specific mortality rate. 2. All-cause mortality rate for 25-34 years old. Calculate the age-specific mortality rate. 3. All-cause mortality among males. Calculate the sex-specific mortality rate. 4. Unintentional-injury specific mortality among 25 to 34 years old males. Calculate the is a cause-specific, age-specific, and sex-specific mortality rate Table 3.5 All-Cause and Unintentional Injury Mortality and Estimated Population by Age Group, For Both Sexes and For Males Alone- United States, 2002 All Races, Both Sexes All Races, Males Age group (years) All Causes Unintentional Estimated All Unintentional Estimated Injuries Pop. (x…arrow_forward
- Linear Algebra: A Modern IntroductionAlgebraISBN:9781285463247Author:David PoolePublisher:Cengage LearningGlencoe Algebra 1, Student Edition, 9780079039897...AlgebraISBN:9780079039897Author:CarterPublisher:McGraw Hill
- Big Ideas Math A Bridge To Success Algebra 1: Stu...AlgebraISBN:9781680331141Author:HOUGHTON MIFFLIN HARCOURTPublisher:Houghton Mifflin HarcourtHolt Mcdougal Larson Pre-algebra: Student Edition...AlgebraISBN:9780547587776Author:HOLT MCDOUGALPublisher:HOLT MCDOUGALFunctions and Change: A Modeling Approach to Coll...AlgebraISBN:9781337111348Author:Bruce Crauder, Benny Evans, Alan NoellPublisher:Cengage Learning