the sample space of  population being researched contains 58 values and a mean of 318.6.The population has a known standard deviation of 29.2. Identify the margin of error for a 95% confidence interval estimate of the mean of the population.

ANSWER = 7.5150

I need the explanation and a step by step to better understnad why that is the answer. please help! I really want to understand this.
in Statistics Answers by

Your answer

Your name to display (optional):
Privacy: Your email address will only be used for sending these notifications.
Anti-spam verification:
To avoid this verification in future, please log in or register.

1 Answer

With a sample size of this magnitude we can use 1.96 as the 95% confidence interval critical value from tables as the multiplier for the standard error, which is 29.2/√58=3.834 approx. The margin of error is therefore 1.96×3.834=7.5149. Therefore we have 318.6±7.515 as the error on the mean: 311.085<µ<326.115.

by Top Rated User (680k points)

Related questions

1 answer
asked Aug 13, 2012 in Statistics Answers by hadgat Level 1 User (140 points) | 204 views
4 answers
Welcome to, where students, teachers and math enthusiasts can ask and answer any math question. Get help and answers to any math problem including algebra, trigonometry, geometry, calculus, trigonometry, fractions, solving expression, simplifying expressions and more. Get answers to math questions. Help is always 100% free!
83,674 questions
88,560 answers
5,770 users