The lengths of two components will be measured several times. The uncertainty in each measurement of the length of the first component is 01 = 0.02 cm, and the uncertainty in each measurement of the length of the second component is o, = 0.08 cm. Let x denote the average of the measurements of the first component, and let Y denote the average of the measurements of the second component. The total length of the two components will be estimated with the quantity X+Y. a. Find the uncertainty in the total length if the first component is measured 4 times and the second component is measured 12 times. Find the uncertainty in the total length in terms of n if the first component is measured n times and the second component is measured 16 - n times. Determine the best way to allocate 16 measurements between the components by determining the value of n that minimizes the uncertainty. b. C.

The lengths of two components will be measured several times. The uncertainty in each measurement of the length of the first component is 01 = 0.02 cm, and the uncertainty in each measurement of the length of the second component is o, = 0.08 cm. Let x denote the average of the measurements of the first component, and let Y denote the average of the measurements of the second component. The total length of the two components will be estimated with the quantity X+Y. a. Find the uncertainty in the total length if the first component is measured 4 times and the second component is measured 12 times. Find the uncertainty in the total length in terms of n if the first component is measured n times and the second component is measured 16 - n times. Determine the best way to allocate 16 measurements between the components by determining the value of n that minimizes the uncertainty. b. C.

Mathematics For Machine Technology

8th Edition

ISBN:9781337798310

Author:Peterson, John.

Publisher:Peterson, John.

Chapter16: Table Of Decimal Equivalents And Combined Operations Of Decimal Fractions

Section: Chapter Questions

Problem 34A: A stamped sheet steel plate is shown in Figure 164. Compute dimensions AF to 3 decimal places. All...

See similar textbooks

Similar questions

A stamped sheet steel plate is shown in Figure 164. Compute dimensions AF to 3 decimal places. All dimensions are in inches. A=_B=_C=_D=_E=_F=_
A soda can has a volume of 25 cubic inches. Let x denote its radius and h its height, both in inches. a. Using the fact that the volume of the can is 25 cubic inches, express h in terms of x. b. Express the total surface area S of the can in terms of x.
An item is to be constructed by laying three components in a row. The length of eachcomponent will be measured.a) If the uncertainty in measuring the length of each component is 1.2 mm, what is the uncertainty in the combined length of the three components?b) If it is desired to estimate the length of the item with an uncertainty of 0.5 mm, what must be the uncertainty in the measurement of each individual component? Assume the uncertainties in the three measurements are the same.
Refer to Exercise 6. Assume that c = 448 J/kg°C and ΔQ = 1210 J are known with negligible uncertainty. Assume the mass is m = 0.75 ± 0.01 kg. Estimate ΔT, and find the relative uncertainty in the estimate.
For a population with u=50 and o=10,what is the x value corresponding to z=0.4?
The Prevalence per 10,000 population of having health insurance for 1 (Table 5 box s. above) is: The Prevalence per 10,000 population of having health insurance for 2 (Table 5 box w. above) is:
A study is made for a particular allergy medication in order to determine the length of relief it provides Y (in hours) in relation to the dosage of medication X (in mg). For this reason, ten patients were given different doses of the medication and were asked to report back when the medication seemed to wear off. Patient #1 #2 #3 #4 #5 #6 #7 #8 #9 #10 Dosage (x) Relief Hours (y) 3 3.5 4 5 6 6.5 7 8 8.5 9 9.1 5.5 12.3 9.2 14.2 16.8 22.0 18.3 24.5 22.7 (i) Draw a scatter diagram. (ii) Calculate the product moment correlation coefficient and comment on your answer. (iii) Construct the least squares regression line.
A crayon manufacturer is comparing the effects of two kinds of yellow dye on the brittleness of crayons. Dye B is more expensive than dye A, but it is thought that it might produce a stronger crayon. Four crayons are tested with each kind of dye, and the impact strength (in joules) is measured for each. The results are as follows: Dye A: 1.0 2.0 1.2 3.0 Dye B: 3.0 3.2 2.6 3.4 a) Can you conclude that the mean strength of crayons made with dye B is greater than that of crayons made with dye A? b) Can you conclude that the mean strength of crayons made with dye B exceeds that of crayons made with dye A by more than 1 J?
For a certain type of salamander, the mass X of a randomly chosen adult is normally distributed. 95% of the adults in this species have a mass between 6.7 grams and 8.1 grams.
For a population with µ = 40 and σ = 8, what is the X value corresponding to z = 1.50?
. Two soft drink dispensing machines should dispense 8 oz of your selection into a cup. The table below shows the data Machine 1 9.52 6.41 10.07 5.85 8.15 Machine 2 8.01 7.99 7.95 8.03 8.02 Which is more consistent in dispensing soda base on the measures of dispersion? Show all solutions.
An observer at a busy bus stop did a 30-minute study of 3 buses. Given the following -Alight time =2 sec -Board time=3 sec -Door opening time =5 sec Determine the dwell time for the 3 buses