The book states the following: "The smaller our sample size and the more extreme the outlier score is, the more these extreme scores will affect the mean in a skewed distribution"Explain how this occurs. I.e. How does a small sample size increase the effect of an outlier on the mean in a skewed distribution? How do more extreme scores affect the mean in a skewed distribution?

Question
Asked Jun 4, 2019
83 views

The book states the following: "The smaller our sample size and the more extreme the outlier score is, the more these extreme scores will affect the mean in a skewed distribution"

Explain how this occurs. I.e. How does a small sample size increase the effect of an outlier on the mean in a skewed distribution? How do more extreme scores affect the mean in a skewed distribution?

check_circle

Expert Answer

Step 1

We know from equation 1 below that the width of confidence interval is inversely proportional to the square root of sample size n.  This would mean that the confidence interval will widen as sample size decreases.  As ouliers tend to increase the standard deviation, they would also widen the confidence interval because it's directly poportional to sigma or sample standard deviatio...

fullscreen

Want to see the full answer?

See Solution

Check out a sample Q&A here.

Want to see this answer and more?

Solutions are written by subject experts who are available 24/7. Questions are typically answered within 1 hour.*

See Solution
*Response times may vary by subject and question.
Tagged in

Math

Statistics

Measures

Related Statistics Q&A

Find answers to questions asked by student like you
Show more Q&A
add
question_answer

Q: Statistics Question

A: The simple linear regression line is given by:

question_answer

Q: How do I run a the test of normality?  Assumptions of normality

A: Introduction:Several tests of normality exist, using which you can verify whether a particular data ...

question_answer

Q: An experiment conducted by a scientist uses 2 tablets of Aspirin per day to see the blood thinning i...

A: Controlled variables:In an experiment, a controlled variable is a variable or characteristic of the ...

question_answer

Q: Consider a sample of 54 football games, where 28 of them were won by the home team. Use a 0.05 signi...

A: Test statistic calculation:The probability that the number of home team wins will be greater than on...

question_answer

Q: A computer system uses passwords that contain exactly 6 characters, and each character is 1 of the 2...

A:  We have to make a password of 6 digits whose digits can be 26 lowercase alphabets, 26 uppercase alp...

question_answer

Q: I am working on constructing a histogram for some data for the 39 US national parks under 900,000 ac...

A: According to the given data41 ,66 ,233 ,775 ,169, 36 ,338 ,233 ,236, 64,183 ,61 ,13 ,308 ,77,520, 77...

question_answer

Q: An epidemiologist found five cases of “big toe cancer” in the Yukon Territory. Because there were on...

A: Note: Since we are authorized to answer only up to 3 subparts, we are answering first three subparts...

question_answer

Q: You are a graduate student in an M.D./Ph.D program, attempting a study of the efficacy of different ...

A: Hello. Since your question has multiple sub-parts, we will solve the first three sub-parts for you. ...

question_answer

Q: You are the foreman of the Bar-S cattle ranch in Colorado. A neighboring ranch has calves for sale, ...

A: Hello. Since you have posted multiple questions and not specified which question needs to be solved,...