Ask question

Which procedure(s) decrease(s) the random error of a measure-ment: (1) taking the average of more measurements, (2) calibrat-ing the instrument, (3) taking fewer measurements? Explain

Question
Measurement
asked 2020-11-22
Which procedure(s) decrease(s) the random error of a measure-ment:
(1) taking the average of more measurements,
(2) calibrat-ing the instrument,
(3) taking fewer measurements? Explain

Answers (1)

2020-11-23
The most appropriate method to decrease the random errors in a measurement is to take the average of more measurements. Because as the number of data increases the certainty of the values also increases. Being more certain with the value means decreased chance of random errors.
Taking fewer measurements decreases the certainty of the collected data, thereby increasing the chance of more random errors.
Clabritaing the instrument is also a strategy to reduce the errors in a measurement. But calibrations mainly contribute to precise measurements. It has nothing to do with random errors that are a result of carelessness, more correctly personal errors.

Relevant Questions

asked 2021-01-31
A certain scale has an uncertainty of 3 g and a bias of 2 g. a) A single measurement is made on this scale. What are the bias and uncertainty in this measurement? b) Four independent measurements are made on this scale. What are the bias and uncertainty in the average of these measurements? c) Four hundred independent measurements are made on this scale. What are the bias and uncertainty in the average of these measurements? d) As more measurements are made, does the uncertainty get smaller, get larger, or stay the same? e) As more measurements are made, does the bias get smaller, get larger, or stay the same?
asked 2021-02-04
A certain scale has an uncertainty of 3 g and a bias of 2 g.
a) A single measurement is made on this scale. What are the bias and uncertainty in this measurement?
b) Four independent measurements are made on this scale. What are the bias and uncertainty in the average of these measurements? c) Four hundred independent measurements are made on this scale. What are the bias and uncertainty in the average of these measurements?
d) As more measurements are made, does the uncertainty get smaller, get larger, or stay the same?
e) As more measurements are made, does the bias get smaller, get larger, or stay the same?
asked 2021-02-05
Twenty-one independent measurements were taken of the hardness (on the Rockwell C scale) of HSLA-100 steel base metal, and another 21 independent measurements were made of the hardness of a weld produced on this base metal.
The standard deviation of the measurements made on the base metal was 3.06, and the standard deviation of the measurements made on the weld was 1.41.
Assume that the measurements are independent random samples from normal populations.
Need to conclude that measurements made on the base metal are more variable than measurements made on the weld?
asked 2020-12-15
Luka and Anja each measured the height of their friend three times. Their friend is 59 inches tall. They recorded their measurements as shown. Luka: 59 in., 58, in., 58 in. Anja: 59.3 in., 59.6 in., 58.2 in. Which statement is true?
Luka’s measurements are more precise and more accurate. Anja’s measurements are more precise and more accurate. Luka’s measurements are more precise, but Anja’s measurements are more accurate. Luka’s measurements are more accurate, but Anja’s measurements are more precise
asked 2020-12-24
Juan makes a measurement in a chemistry laboratory and records the result in his lab report. The stardard deviation of lab measurements made by students is $$\sigma=10$$ milligrams. Juan repeats the measurement 3 times and records the mean xbar of his 3 measurements.
(a) What is the standard deviation of Juan's mean result? (That is, if Juan kept making sets of 3 measurements and averaging them, what would be the standard deviation of all his xbar's?)
(b) How many times must juan repeat the measurement to reduce the standard deviation of xbar to5? Explain to someone who knows nothing about statistics the advantage of reporting the average of several measurements rather than the result of a single measurement.
asked 2021-01-02
How well materials conduct heat matters when designing houses. As a test of a new measurement process, 10 measurements are made on pieces of glass known to have conductivity 1.
The average of the 10 measurements is 1.07. For each of the boldface numbers, indicate whether it is a parameter or a statistic. Explain your answer
asked 2021-02-08
What can you say about the accuracy of your measurements?
What can you say about the precision of your measurements?
(Measure the longest dimension of the room twice, using two different techniques. Do the measurement in feet and inches. Then convert to meters.) Below is what I got.
$$Tape Measure - 146 inches > 3.7084 meters / 12 feet and 2 inches = 12.1667 feet > 3.70840 meters$$
$$Ruler - 144.5 inches (144 + 1/2) = 3.6703 meters / 12.0416 feet = 3.67027 meters$$
asked 2021-02-13
1.After several tries of measuring, Lydia gets the results of 2.75, 2.76, 2.30 cm. She realized that the results of measurement is closest to the actual measurement which is 3.25. What is the implication of her measurements? Is it Accurate and precise?
2.I measured the length of cabinet 3 times. The results of my measurements are 3.44 m, 3.55 m, 3.47 m. Afterwards, I compared it to the results with each other. What did I was trying to find out? Is it precision?
asked 2021-01-13
Loretta, who turns eighty this year, has just learned about blood pressure problems in the elderly and is interested in how her blood pressure compares to those of her peers. Specifically, she is interested in her systolic blood pressure, which can be problematic among the elderly. She has uncovered an article in a scientific journal that reports that the mean systolic blood pressure measurement for women over seventy-five is 133.0 mmHg, with a standard deviation of 5.1 mmHg.
Assume that the article reported correct information. Complete the following statements about the distribution of systolic blood pressure measurements for women over seventy-five.
a) According to Chebyshev's theorem, at least $$?36\% 56\% 75\% 84\%\ or\ 89\%$$ of the measurements lie between 122.8 mmHg and 143.2 mmHg.
b) According to Chebyshev's theorem, at least $$8/9 (about\ 89\%)$$ of the measurements lie between mmHg and mmHg. (Round your answer to 1 decimal place.)
asked 2020-12-25
Why can a null measurement be more accurate than one using standard voltmeters and ammeters?
What factors limit the accuracy of null measurements?
...