Why does the margin of error decrease as the sample size n increases?

Levi Rasmussen 2022-07-21 Answered
Why does the margin of error decrease as the sample size n increases?
You can still ask an expert for help

Expert Community at Your Service

  • Live experts 24/7
  • Questions are typically answered in as fast as 30 minutes
  • Personalized clear answers
Learn more

Solve your problem for the price of one coffee

  • Available 24/7
  • Math expert for every subject
  • Pay only if we can solve it
Ask Question

Answers (1)

dasse9
Answered 2022-07-22 Author has 12 answers
Margin of error = C s n
where C = critical value and s= standard deviation, and n =sample size.
Because of this inverse relationship, as sample size increases, the margin of error decreases.
Not exactly what you’re looking for?
Ask My Question

Expert Community at Your Service

  • Live experts 24/7
  • Questions are typically answered in as fast as 30 minutes
  • Personalized clear answers
Learn more

You might be interested in

asked 2021-01-31
Identify the population: An education professor wants to gather information about parental involvement in early education for students attending a particular Ivy League university. She obtains a list of registered students from the registrar's office and randomly chooses 300 students to study.
asked 2021-05-13

Here are the row and column totals for a two-way table with two rows and two columns:ab50cd506040100 Find two different sets of counts a, b, c, and d for the body of the table that give these same totals. This shows that the relationship between two variables cannot be obtained from the two individual distributions of the variables.

asked 2022-06-07
If data with a normal distribution has a mean of 100 and a standard deviation of 15, what is the probability that a given value is greater than 110?
asked 2022-03-16
Andy has grades of 84, 65 and 76 on three math tests. What grade must he obtain on the next test to have an average of exactly 80 for the four tests?
asked 2021-06-23
You were asked about advantages of using box plots and dot plots to describe and compare distributions of scores. Do you think the advantages you found would exist not only for these data, but for numerical data in general? Explain.
asked 2022-07-05
Dantzig's unsolved homework problems
An event in George Dantzig's life became the origin of a famous story in 1939 while he was a graduate student at UC Berkeley. Near the beginning of a class for which Dantzig was late, professor Jerzy Neyman wrote two examples of famously unsolved statistics problems on the blackboard. When Dantzig arrived, he assumed that the two problems were a homework assignment and wrote them down. According to Dantzig, the problems "seemed to be a little harder than usual", but a few days later he handed in completed solutions for the two problems, still believing that they were an assignment that was overdue.
What were the two unsolved problems which Dantzig had solved?
asked 2022-01-16
What are the mean and standard deviation of a binomial probability distribution with n=4 and p=1532?