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Preliminary work sampling studies show that machine was idle 25% of the time based on a sample of 100 observations. The number of observations needed for a confidence level of 95% and an accuracy of ± 5% is:
- a)400
- b)1200
- c)3600
- d)4800
Correct answer is option 'D'. Can you explain this answer?
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Preliminary work sampling studies show that machine was idle 25% of th...
Number of observations needed for 95% confidence level and ± 5% accuracy is :
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Preliminary work sampling studies show that machine was idle 25% of th...
Solution:
Given,
Idle time of machine = 25%
Sample size = 100
Confidence level = 95%
Accuracy = 5%
To find:
Number of observations needed
Formula used:
n = (Z^2 * p * q) / E^2
Where,
n = sample size needed
Z = Z-value for confidence level (from standard normal distribution table)
p = proportion of idle time
q = (1-p)
E = accuracy required
Calculation:
Z-value for 95% confidence level = 1.96 (from standard normal distribution table)
p = 0.25
q = (1-0.25) = 0.75
E = 0.05
n = (1.96^2 * 0.25 * 0.75) / 0.05^2
n = 4800
Therefore, the number of observations needed for a confidence level of 95% and an accuracy of 5% is 4800.
Hence, option (d) is the correct answer.
Given,
Idle time of machine = 25%
Sample size = 100
Confidence level = 95%
Accuracy = 5%
To find:
Number of observations needed
Formula used:
n = (Z^2 * p * q) / E^2
Where,
n = sample size needed
Z = Z-value for confidence level (from standard normal distribution table)
p = proportion of idle time
q = (1-p)
E = accuracy required
Calculation:
Z-value for 95% confidence level = 1.96 (from standard normal distribution table)
p = 0.25
q = (1-0.25) = 0.75
E = 0.05
n = (1.96^2 * 0.25 * 0.75) / 0.05^2
n = 4800
Therefore, the number of observations needed for a confidence level of 95% and an accuracy of 5% is 4800.
Hence, option (d) is the correct answer.
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Preliminary work sampling studies show that machine was idle 25% of th...
4800
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Preliminary work sampling studies show that machine was idle 25% of the time based on a sample of 100 observations. The number of observations needed for a confidence level of 95% and an accuracy of ± 5% is:a)400 b)1200 c)3600 d)4800Correct answer is option 'D'. Can you explain this answer?
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Preliminary work sampling studies show that machine was idle 25% of the time based on a sample of 100 observations. The number of observations needed for a confidence level of 95% and an accuracy of ± 5% is:a)400 b)1200 c)3600 d)4800Correct 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 Preliminary work sampling studies show that machine was idle 25% of the time based on a sample of 100 observations. The number of observations needed for a confidence level of 95% and an accuracy of ± 5% is:a)400 b)1200 c)3600 d)4800Correct 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 Preliminary work sampling studies show that machine was idle 25% of the time based on a sample of 100 observations. The number of observations needed for a confidence level of 95% and an accuracy of ± 5% is:a)400 b)1200 c)3600 d)4800Correct answer is option 'D'. Can you explain this answer?.
Preliminary work sampling studies show that machine was idle 25% of the time based on a sample of 100 observations. The number of observations needed for a confidence level of 95% and an accuracy of ± 5% is:a)400 b)1200 c)3600 d)4800Correct 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 Preliminary work sampling studies show that machine was idle 25% of the time based on a sample of 100 observations. The number of observations needed for a confidence level of 95% and an accuracy of ± 5% is:a)400 b)1200 c)3600 d)4800Correct 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 Preliminary work sampling studies show that machine was idle 25% of the time based on a sample of 100 observations. The number of observations needed for a confidence level of 95% and an accuracy of ± 5% is:a)400 b)1200 c)3600 d)4800Correct answer is option 'D'. Can you explain this answer?.
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