The fuel consumption of an engine has been recorded as shown in the following table.1.Time, hourFuel, liter1.20.332011.70.547390.604960.738911.82.0If a user runs the engine for 1.55 hours, determine the estimated fuel consumption usingthe Newton and Lagrange interpolation methods.

Newton's divided difference formula for 4 points can be defined as:…

Answered: The fuel consumption of an engine has…

Mathematics For Machine Technology

8th Edition

ISBN:9781337798310

Author:Peterson, John.

Publisher:Peterson, John.

Chapter29: Tolerance, Clearance, And Interference

Section: Chapter Questions

Problem 16A: Spacers are manufactured to the mean dimension and tolerance shown in Figure 29-12. An inspector...

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Spacers are manufactured to the mean dimension and tolerance shown in Figure 29-12. An inspector measures 10 spacers and records the following thicknesses: 0.372" 0.376" 0.379" 0.375" 0.370" 0.373" 0.377" 0.378" 0.371" 0.380" Which spacers are defective (above the maximum limit or below the minimum limit)? All dimensions are in inches.
In the 2015 AFC Championship game, there was a charge that the New England Patriots underinflated their footballs for an advantage. The Patriots' opponents during the championship game were the Indianapolis Colts. Measurements of the Colts' footballs were taken. The balls should be inflated to between 12.5 and 13.5 pounds per square inch (psi). The accompanying data consists of six of the eight measurements on the Colts' footballs. Complete parts (a) and (b) below. 12.75, 12.50, 12.15, 12.35, 12.55, 12.30 The test statistic is = (Round to two decimal places as needed.) The p-value is = (Round to three decimal places as needed.) b. Use the data to construct a 95% confidence interval for the mean psi for the Colts' footballs. How does this confidence interval support your conclusion in part (a)? The 95% confidence interval is ___ psi to ___ psi. (Round to two decimal places as needed. Use ascending order.)
Calculate x, which gives f(x) = 2 in the dataset, using Newton's Divided Differences Method with reverse interpolation.
Given a 95% C.I. = (34.14 mm, 36.02 mm) for a sample of Wooly Bear caterpillar lengths (preceding problem), address the following. Based upon the above information, I am _____ % confident that the 95% C.I. contains the sample mean.
In a hypothetical scenario, the National Institute of Standards and Technology has received a new replica of The Kilogram. It is weighed five times. The measurements are as follows, in units of micro-grams above 1 kg: 114.3, 82.6, 136.4, 126.8, 100.7. a) Is it possible to estimate the uncertainty in these measurements? If so, estimate it. If not, explain why not. b) Is it possible to estimate the bias in these measurements? If so, estimate it. If not, explain why not.
A manufacturer of computer stands made a batch of 40,000bases. 500 bases were taken to make a measurement of the width of thebase obtaining the following results.-Average: 20.10 cmStd Deviation: 1cmIf the customer's width specification of this base is: from 17.1 cm to22.5cm.For the batch of 40,000 bases,a) How many bases does the lot have below the maximum width?(including those that could be below the lower limit)b) What is the CPK of this process?
The degenerative disease osteoarthritis most frequently affects weight-bearing joints such as the knee. Stance duration (ms) was measured in separate samples of younger and older adults. younger: n=22 mean=801 s=117 older: n=16 mean=780 s=81 Test the claim that the true average stance is different between younger and older adults. Let population 1= younger population 2= older a. What is the appropriate procedure to test the claim? b.What is the degrees of freedom? Use the conservative formula. c.At 0.05 significance level, what is/are the critical value/s? d.What is the value of the test statistic? Use 2 decimal places e.Construct a 95% confidence interval estimate, what is the margin of error? Use 2 decimal places.
Use the following table to answer the question & the sub part. 1a.What is the df for the t-test comparing total units earned in the row Students on Pell?i. df = 5854 + 1999 = 7853ii. df = 5854 + 1999 - 2 = 7851iii. df = 5854 - 1 = 5854iv. df = 1999 - 1 = 1998 1b. True or False? In the row First-generation College Students, students not employed on campus had the higher standard deviation for time to degree (years).
A law enforcement organization claims that their radargun is accurate to within 0.5 miles per hour for a courthearing. An independent organization hired to test theaccuracy of the radar gun conducted 12 tests on a projectilemoving at 60 miles per hour. Given the data inthe following table, determine if the radar gun can beused in court. State the hypothesis and base your commentson an appropriate α level.
xample: From the following data, find the following:1- Find the equation with the explanation2- Test the calculated FC if you know that the tabular Ft is 5.273- Arrange the ANOVA table X2 X1 Y X2 X1 Y 80 67 70 69 89 72 67 87 79 67 92 76 88 67 56 80 67 70 79 98 67 72 90 80 88 69 56 92 71 59 79 79 66 73 101 71 88 66 55 82 72 61 78 77 66 92 83 69 78 66 65 81 87 62 70 77 70 89 84 69 795 753 650 797 836 689
The diameter of a metal shaft used in a disk-drive unit is normally distributed with mean 0.25 in. and std. dev. 0.0005 in. The specification on the shaft have been established as (0.25-0.002 in, 0.25+0.002in) What fraction of the shafts produced conform to specifications? a). 0 b). 0.5 c). 0.9 d). almost 1
Before it was a defined quantity, separate groups of researchers independently obtained the following five results (all in km s−1 ) during experiments to measure the speed of light c: 299795 ± 5 299794 ± 2 299790 ± 3 299791 ± 2 299788 ± 4 Determine the best overall result which should be reported as a weighted mean from this set of measurements of c, and find the uncertainty in that mean result.

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The fuel consumption of an engine has been recorded as shown in the following table. Time, hour Fuel, liter 1.2 0.33201 1.7 1.8 2.0 0.54739 0.60496 0.73891 If a user runs the engine for 1.55 hours, determine the estimated fuel consumption using the Newton and Lagrange interpolation methods.