Among six measurement of the boiling point of a silicon compound,

In summary, the purpose of measuring the boiling point of a silicon compound is to identify and characterize the compound, as well as gain information about its stability and reactivity. The boiling point can be measured through methods such as distillation and gas chromatography, and it is important to take six measurements to ensure accuracy and eliminate outliers. Factors such as molecular structure, intermolecular forces, and impurities can affect the boiling point, making it a useful tool in industries such as semiconductor production and quality control.
  • #1
TomJerry
50
0
Question:
Among six measurement of the boiling point of a silicon compound, the size of the error was 0.07,0.03,0.14,0.08 and 0.03 degree Celsius. Assuming that these data can be looked upon as a random sample from the population given by
f(x;[tex]\theta[/tex]) = 2([tex]\theta[/tex]-x)/[tex]\theta[/tex] for 0<x<[tex]\theta[/tex]
=0 elsewhere
find the estimator for [tex]\theta[/tex] by the method of moments.
 
Physics news on Phys.org
  • #2
The f you give is NOT a probabilty distribution. Specifically
[tex]\int_0^\theta \frac{2(\theta- x)}{\theta} dx= \theta[/tex]
not 1. Is there supposed to be a [itex]\theta^2[/itex] in the denominator rather than just [itex]\theta[/itex]?
 

Related to Among six measurement of the boiling point of a silicon compound,

1. What is the purpose of measuring the boiling point of a silicon compound?

The boiling point of a silicon compound is an important physical property that can be used to identify and characterize the compound. It can also provide valuable information about the stability and reactivity of the compound, which is useful in industrial applications.

2. How is the boiling point of a silicon compound measured?

The boiling point of a silicon compound can be measured using various methods such as distillation, reflux, and gas chromatography. These methods involve heating the compound and measuring the temperature at which it changes from a liquid to a gas.

3. Why are six measurements taken for the boiling point of a silicon compound?

Taking multiple measurements of the boiling point allows for more accurate and precise results. This is because the boiling point can vary slightly depending on factors such as impurities, pressure, and experimental conditions. By taking six measurements, any outliers or inconsistencies can be identified and eliminated.

4. What factors can affect the boiling point of a silicon compound?

The boiling point of a silicon compound can be influenced by several factors, including its molecular structure, intermolecular forces, impurities, and atmospheric pressure. Changes in these factors can cause variations in the boiling point, which is why it is important to take multiple measurements.

5. How can the boiling point of a silicon compound be used in practical applications?

The boiling point of a silicon compound can be used in various industries, such as in the production of semiconductors, ceramics, and glass. It can also be used in quality control and identification of compounds in research and development. Additionally, the boiling point can be used to determine the purity of a compound, as impurities can affect the boiling point.

Similar threads

Among the six measurements of the boiling point of a silsicon compound
    • Set Theory, Logic, Probability, Statistics
Replies
2
Views
1K
I Desirable estimator properties...
    • Set Theory, Logic, Probability, Statistics
Replies
7
Views
522
I Error bars in Excel (standard deviation, standard error, percentage)
    • Set Theory, Logic, Probability, Statistics
Replies
4
Views
963
I What is the correct definition of measurement uncertainty?
    • Set Theory, Logic, Probability, Statistics
Replies
21
Views
2K
I Checking for Biased/Consistency
    • Set Theory, Logic, Probability, Statistics
Replies
1
Views
1K
Variance of a point chosen at random on the circumference of a circle
    • Calculus and Beyond Homework Help
Replies
9
Views
2K
I Should I Remove the Outlier Point in My Linear Fit?
    • Set Theory, Logic, Probability, Statistics
Replies
16
Views
1K
A The Blessings of Dimensionality and Hilbert's 6th Problem
    • Set Theory, Logic, Probability, Statistics
Replies
4
Views
1K
I Measurement of heat as an interval measurement or a ratio measurement
    • Thermodynamics
Replies
9
Views
503
I Understanding 2 equivalent formulations of both data set measures
    • Set Theory, Logic, Probability, Statistics
Replies
9
Views
1K

Hot Threads

Recent Insights

Back
Top