Question
Download Solution PDFA random sample of size 225 is drawn from the population of mean μ and standard deviation σ. The sample mean follows the distribution with mean 100 and standard distribution 4/3. The value of μ and σ are:
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFThe correct answer is (100, 20).
Key Points
- The sample mean is an estimator of the population mean, but the true population mean is usually not known.
- The standard deviation of the sample mean decreases as the sample size increases.
- In general, larger sample sizes lead to more accurate estimates of population parameters.
Additional Information
- The sample mean follows a normal distribution with mean 100 and standard deviation 4/3.
- The sample size is 225.
- The standard deviation of the population, σ, can be calculated using the formula σ = standard deviation of the sample mean * (square root of the sample size), where the standard deviation of the sample mean is 4/3.
- σ = 4/3 * (square root of 225) = 20
- So, the population mean is μ = 100 and the standard deviation is σ = 20.
Last updated on Jul 19, 2025
-> The SSC CGL Notification 2025 has been announced for 14,582 vacancies of various Group B and C posts across central government departments.
-> CSIR NET City Intimation Slip 2025 has been released @csirnet.nta.ac.in.
-> The SSC CGL Tier 1 exam is scheduled to take place from 13th to 30th August 2025 in multiple shifts.
-> Aspirants should visit the official website @ssc.gov.in 2025 regularly for CGL Exam updates and latest announcements.
-> Candidates had filled out the SSC CGL Application Form from 9 June to 5 July, 2025. Now, 20 lakh+ candidates will be writing the SSC CGL 2025 Exam on the scheduled exam date. Download SSC Calendar 2025-25!
-> In the SSC CGL 2025 Notification, vacancies for two new posts, namely, "Section Head" and "Office Superintendent" have been announced.
-> Candidates can refer to the CGL Syllabus for a better understanding of the exam structure and pattern.
-> The CGL Eligibility is a bachelor’s degree in any discipline, with the age limit varying from post to post.
-> The SSC CGL Salary structure varies by post, with entry-level posts starting at Pay Level-4 (Rs. 25,500 to 81,100/-) and going up to Pay Level-7 (Rs. 44,900 to 1,42,400/-).
-> Attempt SSC CGL Free English Mock Test and SSC CGL Current Affairs Mock Test.