Concept explainers
Establishing tolerance limits. The tolerance limits for a particular quality characteristic (e.g., length, weight, or strength) of a product are the minimum and/or maximum values at which the product will operate properly. Tolerance limits are set by the engineering design
Want to see the full answer?
Check out a sample textbook solutionChapter 4 Solutions
Statistics for Business and Economics (13th Edition)
- Steel Strength_vs_Carbon_Content_data Steel Grade Nominal Carbon Fatigue Yield Ultimate Hardness 9254 0.54 845 2270 1070 0.7 533 1950 8620 0.8 458 920 8695 0.95 401 780 8695 0.95 509 847 6150 0.5 307 1878 1552 0.52 257 933 2450 2069 1202 1496 979 2343 933 584 613 583 539 539 555 601arrow_forwardData consistent with summary quantities in the article "Effects of Fast-Food Consumption on Energy Intake and Diet Quality Among Children" on total calorie consumption on a particular day are given for a sample of children who did not eat fast food on that day and for a sample of children who did eat fast food on that day. Assume that it is reasonable to regard these samples as representative of the population of children in the United States. No Fast Food 2342 1929 1020 1741 1480 2064 2154 1992 1863 1788 1776 1838 1659 1517 2680 Fast Food 2522 1757 933 2327 2433 2266 2525 1194 889 1510 874 2206 1810 1249 2116 (a) Use the given information to estimate the mean calorie intake for children in the United States on a day when no fast food is consumed. (Give the answer to one decimal place.) 1856.2 (b) Use the given information to estimate the mean calorie intake for children in the United States on a day when fast food is consumed. (Give the answer to one decimal place.) 1774.1 (c) Use the…arrow_forwardIDENTIFY THE TYPE (Qualitative or Quantitative; if Quantitative - Continuous or Discrete) AND LEVEL OF MEASUREMENT OF THE FOLLOWING VARIABLES gender - either male or female runtime - time to run 1.5 miles (in min) age - age of the gym member in years weight - weight of the gym member (in kg) oxygen consumption - measure of the ability to use oxygen in the blood stream (in ml/min) rest pulse - resting pulse rate (in bpm) maximum pulse - maximum pulse rate during the run (in bpm)arrow_forward
- Concrete blocks to be used in a certain application are supposed to have a mean compressive strength of 1500 MPa. Samples of size 1 are used for quality control. The compressive strengths of the last 40 samples are given in the following table. Sample Strength 1487 1463 3 1499 1502 1473 1520 1520 1495 1503 10 1499 11 1497 12 1516 13 1489 14 1545 15 1498 16 1503 17 1522 18 1502 1499 1484 19 20 21 1507 22 1474 23 1515 1533 1487 1518 24 25 26 27 1526 28 1469 29 1472 30 1512 1483 1505 31 32 33 1507 34 1505 1517 1504 35 36 37 1515 38 1467 39 1491 40 1488 Previous results suggest that a value of o = 15 is reasonable for this process. a. Using the value 1500 for the target mean u,and the values k = 0.5 and h = 4, construct a CUSUM chart. b. Is the process mean in control? If not, when is it first detected to be out of control?arrow_forwardSkim Milk: 0.033 g/mL Class Data: 0.0295 g/mL 0.0228 g/mL 0.0213 g/mL 0.0219 g/mL 0.0269 g/mL 0.0284 g/mL 0.0243 g/mL Compared to my data value of 0.033 g/mL, state whether these values above (class data) are precise, accurate, both, or neitherarrow_forwardEyeglassomatic manufactures eyeglasses for different retailers. They test to see how many defective lenses they made the time period of January 1 to March 31. The table gives the defect and the number of defects. Do the data support the notion that each defect type occurs in the same proportion? Test at the 5% level. Number of Defective Lenses Defect type Number of defects Scratch 1866 Right shaped - small 1935 Flaked 1979 Wrong axis 1921 Chamfer wrong 1864 Crazing, cracks 1991 Wrong shape 2004 Wrong PD 1895 Spots and bubbles 1917 Wrong height 1885 Right shape - big 1875 Lost in lab 1886 Spots/bubble - intern 1935 State the hypotheses.H0: Each defect type in the same proportion.Ha: Each defect type in the same proportion. Calculate the χ2 test statistic. Round expected values to two decimal places. Round χ2 to three decimal places.χ2 = Calculate the p-value. Round to four decimal places.p-value = State your decision.Since p-value 0.05,…arrow_forward
- Identify the explanatory variable and the response variable. An agricultural business wants to determine if the rainfall in inches can be used to predict the yield per acre on a wheat farm.arrow_forwardEstimate sensitivity, specificity, positive predictive value, negative predictive value and prevalence from data in the 2 x 2 table for an infectious disease and its diagnostic test.arrow_forwardHypertensionA hypertensive patient has been on antihypertensive medication for several years. Her physician wants to monitor herblood pressure via weekly measurements taken at home.Each week for 6 weeks she takes several blood pressurereadings and averages the readings to get a summary bloodpressure for the week. The diastolic blood pressure (DBP)results are shown in Table 6.15.Table 6.15 Weekly mean DBP readingsfor an individual patientWeek Mean DBP Mean DBP (mm Hg) Week (mm Hg)1 89 4 842 88 5 823 81 6 89.5Mean 85.75sd 3.66 6.106 What is the probability that the sample mean will bewithin 1 unit of the population mean?6.107 Suppose we want to choose a large enough sampleso that the sample mean is within 1 unit of the populationmean 99% of the time. What is the minimum sample size toachieve this goal? Suppose the incidence rate of myocardial infarction (MI)was 5 per 1000 among 45- to 54-year-old men in 2000.To look at changes in incidence over time, 5000 men in thisage group were…arrow_forward
- Continuous vs. Discrete variables Identify each quantitative variable as continuous or discrete. Number of students at BCHS that regularly consume caffeinated beverages. Choose... Length of time RBHS teachers spend outside of school hours preparing for instruction. Choose... Weights of wrestlers on the WKHS Wrestling Team. Choose... Ages in years of students at SAHS. Choose...arrow_forwardFiber content (in grams per serving) for 18 high fiber cereals are shown below. Fiber Content 6 11 11 6 9 6 12 12 9 13 11 9 12 6 14 6 9 9 (a) Find the median, quartiles, and interquartile range for the fiber content data set. median = lower quartile = upper quartile = interquartile range = (b) Explain why the minimum value for the fiber content data set and the lower quartile for the fiber content data set are equal. The upper quarter of the data values are all the same value. The minimum value and the lower quartile are always the same value. The bottom quarter of the data values are all the same value.arrow_forward5. Oxygen demand is a term blologists use to describe the axygen needed by fish and other aquatic organisms for survval. The Environmental Protection Agency conducted a study of a wetland area in Marin County, Californla. In this wetland environment, the mean oxygen demand was u=9.9 mg/L, and a= 1.7 mg/L. (Reference: EPA Report 832-R- 93- 005). Let x be a random varlable that represents oxygen demand in this wetland environment. Assume x has a probability distribution that is approximately normal. a. An oxygen demand below 8 mg/L Indicates that some organisms In the wetland environment may be dying. What is the probability that the oxygen demand will fall below 8 mg/L? b. A high oxygen demand can also indicate trouble. An oxygen demand above 12 mg/L may indicate an overabundance of organisms that endanger some types of plant life. What is the probability that the oxygen demand will exceed 12 mg/L?arrow_forward
- Linear Algebra: A Modern IntroductionAlgebraISBN:9781285463247Author:David PoolePublisher:Cengage LearningGlencoe Algebra 1, Student Edition, 9780079039897...AlgebraISBN:9780079039897Author:CarterPublisher:McGraw HillBig Ideas Math A Bridge To Success Algebra 1: Stu...AlgebraISBN:9781680331141Author:HOUGHTON MIFFLIN HARCOURTPublisher:Houghton Mifflin Harcourt