Data on pull-off force (pounds) for connectors used in an automobile engine application are as follows: 79.8 75.1 78.2 74.1 73.9 75.0 77.6 77.3 73.8 74.6 75.5 74.0 74.7 75.9 72.7 73.8 74.2 78.1 75.4 76.3 75.3 76.2 74.9 78.0 75.1 76.8 If necessary, round all intermediate calculations to four decimal places (e.g. 12.3456).
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- How heavy a load (pounds) is 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 Suppose that the strength of pieces of wood like these follows a Normal distribution with standard deviation 3000 pounds. Give a 90% confidence interval for the mean load required to pull the wood apart. __ to __ lbshow full solutionData on pull-off force (in pounds) for connectors used in an automobile engine application are as follows: 79.3, 75.1, 78.2, 74.1, 73.9, 75.0, 77.6, 77.3, 73.8, 74.6, 75.5, 74.0, 74.7, 75.9, 72.9, 73.8, 74.2, 78.1, 75.4, 76.3, 75.3, 76.2, 74.9, 78.0, 75.1, 76.8.a. Calculate the standard error of the point estimate(sample mean is 75.62). Provide an interpretation of the standard error. b. Calculate a point estimate of the proportion of all connectors in the population whose pull-off force is less than 73 pounds.9.32 A manufacturing company produces steel housings for electrical equipment. The main component part of the housing is a steel trough that is made out of a 14-gauge steel coil. It is pro- duced using a 250-ton progressive punch press with a wipe-down operation that puts two 90-degree forms in the flat steel to make the trough. The distance from one side of the form to the other is critical because of weatherproofing in outdoor applications. The company requires that the width of the trough be between 8.31 inches and 8.61 inches. The file Trough contains the widths of the troughs, in inches, for a sample of n = 49: 8.312 8.343 8.317 8.383 8.348 8.410 8.351 8.373 8.481 8.422 8.476 8.382 8.484 8.403 8.414 8.419 8.385 8.465 8.498 8.447 8.436 8.413 8.489 8.414 8.481 8.415 8.479 8.429 8.458 8.462 8.460 8.444 8.429 8.460 8.412 8.420 8.410 8.405 8.323 8.420 8.396 8.447 8.405 8.439 8.411 8.427 8.420 8.498 8.409 a. At the 0.05 level of significance, is there evidence that the mean width of the…
- STATE: How heavy a load (in pounds) is needed to pull apart pieces of Douglas fir 4 inches long and 1.5 inches square? Given 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. PLAN: We will estimate ? by giving a 98% confidence interval. SOLVE: Find the sample mean ?¯ . (Enter your answer rounded to the nearest whole number.) ?¯= Give a 98% confidence interval, [???,ℎ??ℎ] , for the mean load required to pull the wood apart. (Enter your answers rounded to the nearest whole number.) ???=…The table below shows head injury measurements from car crash dummies. The measurements are in head injury criterion unitsSTATE: How heavy a load (in pounds) is needed to pull apart pieces of Douglas fir 44 inches long and 1.5 inches square? Given 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. PLAN: We will estimate μ by giving a 95% confidence interval. SOLVE: Find the sample mean x¯ . (Enter your answer rounded to the nearest whole number.) x¯= Give a 95% confidence interval, [low, high] , for the mean load required to pull the wood apart. (Enter your answers rounded to the nearest whole number.) low=…
- The following data were collected in an experi- ment on jute in a village of West Bengal, in which the length X (in cm.) of green plants and the weight Y (in gm.) of dry fibre were recorded for 8 plants : Plant No. 1 2 3 4 6. 7 8 X (in cm.) : Y (in gm.) : 172 148 162 183 160 141 150 190 6.4 2.3 3.5 4.7 4.1 2.9 2-8 6.6 Calculate the correlation coefficient between X and Y.3. a. Make a drawing to show the result of shearing the parallelogram in Figure 12.57 into a rectan- gle. Explain how you know you have sheared the parallelogram correctly. Note: Shearing does not have to be horizontal. D A Figure 12.57 BThe table below shows the number of deaths in the U.S. in a year due to a variety of causes. For these questions, assume these values are not changing from year to year, and that the population of the United States is 312 million people. Cause Deaths Passenger car occupant 13,100 | 4,500 Motorcycle driver Tornado 553 Skydiving 56 g) People sometimes claim skydiving is less dangerous than driving. Does the data support this claim?
- STATE: How heavy a load (in pounds) is needed to pull apart pieces of Douglas fir 44 inches long and 1.51.5 inches square? Given are data from students doing a laboratory exercise. 33,19033,190 31,86031,860 32,59032,590 26,52026,520 33,28033,280 32,32032,320 33,02033,020 32,03032,030 30,46030,460 32,70032,700 23,04023,040 30,93030,930 32,72032,720 33,65033,650 32,34032,340 24,05024,050 30,17030,170 31,30031,300 28,73028,730 31,92031,920 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 the characteristics of materials vary Normally. Suppose that the strength of pieces of wood like these follows a Normal distribution with a standard deviation of 3000 pounds. PLAN: We will estimate μ by giving a 99%99% confidence interval. SOLVE: Find the sample mean ?¯. (Enter your answer rounded to the nearest whole number.) ?¯= Give a 99%confidence interval,…Define the following term: Type I ErrorFlexural strength is a measure of a material's ability to resist failure in bending. The accompanying data are on flexural strength of concrete (in MegaPascal): (a) Construct a stem-and-leaf display of the data. (Enter numbers from smallest to largest separated by spaces. Enter NONE for stems with no values.) Stems Leaves 5 6 7 8 9 10 11 5.9 7.2 7.3 6.1 8.1 6.8 7.0 7.6 6.8 6.5 7.0 6.3 7.9 9.0 8.2 8.7 7.8 9.7 7.4 7.7 9.7 7.8 7.7 11.6 11.2 11.8 10.7 What appears to be the typical value (center) of the data set? MPa What is the extent of the spread around the typical value? O All of the data values are around the typical value in which the value of the range is around 2 - 3. O The data values are spread out in which the value of the range is around 5 - 6. (b) Does the display appear to be reasonably symmetric about a representative value, or would you describe its shape in some other way? O reasonably symmetric O positive skewness O negative skewness (c) Do there appear to be any outlying…