Answered: How to determine if a sample is small…

College Algebra (MindTap Course List)

12th Edition

ISBN:9781305652231

Author:R. David Gustafson, Jeff Hughes

Publisher:R. David Gustafson, Jeff Hughes

Chapter8: Sequences, Series, And Probability

Section8.CT: Chapter Test

Problem 24CT: Show the sample space of the experiment: toss a fair coin three times.

See similar textbooks

Related questions

Concept explainers

Question

How to determine if a sample is small or large?

In my homework, the sample size is 66. The answer in my book says that it's a small sample? But how do I know that?

Thanks!

Expert Solution

Step 1

Note:

Hey there! Thank you for posting the question! Sometimes a sample cannot be determined as a small sample or large sample only based on its size. We have explained the situations of determining a sample as small or large.

Step 2

Conditions for a sample to determine it as large sample or small sample:

In some books the rule of thumb for a sample to consider it as large sample is n>30. That is, if the sample size is greater than or equal to 30 then that sample will be considered as large sample and if the sample size is less than 30 then that sample will be considered as small sample. But this rule of thumb might change based on the scenario.
If the distribution of a sample is symmetric and uni-modal without any outliers, then the sample size of 15 can also be considered as large sample.
If the distribution of a sample is moderately skewed and uni-modal without outliers, then its sample size should be between 16 and 40 to consider it as large sample.
If a sample has extreme and many outliers then it will not be considered as large sample, even though its size is greater than 40.
The sample should be a good representative of the population. That is, population size also matters in determining a sample as small or large.

Step by step

Solved in 3 steps

Knowledge Booster

$Point Estimation, Limit Theorems, Approximations, and Bounds$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.

Similar questions