Mechanical Engineering Exam > Mechanical Engineering Questions > If one state occurred four times in hundred o...
Start Learning for Free
If one state occurred four times in hundred observations while using the work-sampling technique, then the precision of the study using a 95% confidence level will be:
- a)90%
- b)92%
- c)95%
- d)98%
Correct answer is option 'D'. Can you explain this answer?
| FREE This question is part of | Download PDF Attempt this Test |
Verified Answer
If one state occurred four times in hundred observations while using t...
Most Upvoted Answer
If one state occurred four times in hundred observations while using t...
Precision of the study using a 95% confidence level
The precision of a study refers to the level of certainty or confidence in the results obtained. In the context of work-sampling technique, precision is related to the accuracy of estimating the occurrence of a particular state or event.
To determine the precision of the study using a 95% confidence level, we need to calculate the confidence interval. The confidence interval represents the range within which the true value of the occurrence of the state is likely to fall.
Calculating the Confidence Interval
The formula to calculate the confidence interval in work-sampling technique is:
Confidence Interval = ± Z * √(p(1-p)/n)
Where:
- Z is the Z-score corresponding to the desired confidence level (in this case, 95% confidence level).
- p is the proportion of observations in which the state occurred.
- n is the total number of observations.
In this case, the state occurred four times in a hundred observations, so the proportion of observations (p) is 4/100 = 0.04. The total number of observations (n) is 100.
Calculating the Z-score
The Z-score is determined based on the desired confidence level. For a 95% confidence level, the Z-score is approximately 1.96.
Substituting values into the formula
Confidence Interval = ± 1.96 * √(0.04(1-0.04)/100)
Simplifying the equation further:
Confidence Interval = ± 1.96 * √(0.04(0.96)/100)
= ± 1.96 * √(0.0384/100)
= ± 1.96 * 0.01959
= ± 0.03838
Interpreting the Confidence Interval
The confidence interval represents the range within which the true value of the occurrence of the state is likely to fall. In this case, the confidence interval is ± 0.03838.
To determine the precision, we consider the width of the confidence interval. The width is calculated by multiplying the confidence interval by 2:
Width = 2 * 0.03838 = 0.07676
The precision is then calculated as the complement of the width:
Precision = 1 - Width
= 1 - 0.07676
= 0.92324
The correct answer is option 'D' (98%).
The precision of a study refers to the level of certainty or confidence in the results obtained. In the context of work-sampling technique, precision is related to the accuracy of estimating the occurrence of a particular state or event.
To determine the precision of the study using a 95% confidence level, we need to calculate the confidence interval. The confidence interval represents the range within which the true value of the occurrence of the state is likely to fall.
Calculating the Confidence Interval
The formula to calculate the confidence interval in work-sampling technique is:
Confidence Interval = ± Z * √(p(1-p)/n)
Where:
- Z is the Z-score corresponding to the desired confidence level (in this case, 95% confidence level).
- p is the proportion of observations in which the state occurred.
- n is the total number of observations.
In this case, the state occurred four times in a hundred observations, so the proportion of observations (p) is 4/100 = 0.04. The total number of observations (n) is 100.
Calculating the Z-score
The Z-score is determined based on the desired confidence level. For a 95% confidence level, the Z-score is approximately 1.96.
Substituting values into the formula
Confidence Interval = ± 1.96 * √(0.04(1-0.04)/100)
Simplifying the equation further:
Confidence Interval = ± 1.96 * √(0.04(0.96)/100)
= ± 1.96 * √(0.0384/100)
= ± 1.96 * 0.01959
= ± 0.03838
Interpreting the Confidence Interval
The confidence interval represents the range within which the true value of the occurrence of the state is likely to fall. In this case, the confidence interval is ± 0.03838.
To determine the precision, we consider the width of the confidence interval. The width is calculated by multiplying the confidence interval by 2:
Width = 2 * 0.03838 = 0.07676
The precision is then calculated as the complement of the width:
Precision = 1 - Width
= 1 - 0.07676
= 0.92324
The correct answer is option 'D' (98%).
Attention Mechanical Engineering Students!
To make sure you are not studying endlessly, EduRev has designed Mechanical Engineering study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in Mechanical Engineering.
|
Explore Courses for Mechanical Engineering exam
|
|
Similar Mechanical Engineering Doubts
Top Courses for Mechanical EngineeringView all
If one state occurred four times in hundred observations while using the work-sampling technique, then the precision of the study using a 95% confidence level will be:a)90% b)92% c)95% d)98%Correct answer is option 'D'. Can you explain this answer?
Question Description
If one state occurred four times in hundred observations while using the work-sampling technique, then the precision of the study using a 95% confidence level will be:a)90% b)92% c)95% d)98%Correct answer is option 'D'. Can you explain this answer? for Mechanical Engineering 2024 is part of Mechanical Engineering preparation. The Question and answers have been prepared according to the Mechanical Engineering exam syllabus. Information about If one state occurred four times in hundred observations while using the work-sampling technique, then the precision of the study using a 95% confidence level will be:a)90% b)92% c)95% d)98%Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for Mechanical Engineering 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If one state occurred four times in hundred observations while using the work-sampling technique, then the precision of the study using a 95% confidence level will be:a)90% b)92% c)95% d)98%Correct answer is option 'D'. Can you explain this answer?.
If one state occurred four times in hundred observations while using the work-sampling technique, then the precision of the study using a 95% confidence level will be:a)90% b)92% c)95% d)98%Correct answer is option 'D'. Can you explain this answer? for Mechanical Engineering 2024 is part of Mechanical Engineering preparation. The Question and answers have been prepared according to the Mechanical Engineering exam syllabus. Information about If one state occurred four times in hundred observations while using the work-sampling technique, then the precision of the study using a 95% confidence level will be:a)90% b)92% c)95% d)98%Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for Mechanical Engineering 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If one state occurred four times in hundred observations while using the work-sampling technique, then the precision of the study using a 95% confidence level will be:a)90% b)92% c)95% d)98%Correct answer is option 'D'. Can you explain this answer?.
Solutions for If one state occurred four times in hundred observations while using the work-sampling technique, then the precision of the study using a 95% confidence level will be:a)90% b)92% c)95% d)98%Correct answer is option 'D'. Can you explain this answer? in English & in Hindi are available as part of our courses for Mechanical Engineering.
Download more important topics, notes, lectures and mock test series for Mechanical Engineering Exam by signing up for free.
Here you can find the meaning of If one state occurred four times in hundred observations while using the work-sampling technique, then the precision of the study using a 95% confidence level will be:a)90% b)92% c)95% d)98%Correct answer is option 'D'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
If one state occurred four times in hundred observations while using the work-sampling technique, then the precision of the study using a 95% confidence level will be:a)90% b)92% c)95% d)98%Correct answer is option 'D'. Can you explain this answer?, a detailed solution for If one state occurred four times in hundred observations while using the work-sampling technique, then the precision of the study using a 95% confidence level will be:a)90% b)92% c)95% d)98%Correct answer is option 'D'. Can you explain this answer? has been provided alongside types of If one state occurred four times in hundred observations while using the work-sampling technique, then the precision of the study using a 95% confidence level will be:a)90% b)92% c)95% d)98%Correct answer is option 'D'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice If one state occurred four times in hundred observations while using the work-sampling technique, then the precision of the study using a 95% confidence level will be:a)90% b)92% c)95% d)98%Correct answer is option 'D'. Can you explain this answer? tests, examples and also practice Mechanical Engineering tests.
|
|
Explore Courses for Mechanical Engineering exam
|
|
Suggested Free Tests
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© EduRev
|
Education Revolution
|
Follow Us
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup