Education Technology

• ##### Device
• TI-Nspire™ CX/CX II
• TI-Nspire™ CX CAS/CX II CAS
• TI-Nspire™ Navigator™
• TI-Nspire™
• TI-Nspire™ CAS
• ##### Software

TI-Nspire™
TI-Nspire™ CAS

3.0

# Statistics: 10% Rule

by Texas Instruments

#### Objectives

• Students will recognize that when samples are taken from a finite population without replacement the sampling distribution of sample means has a smaller standard deviation than that for samples of equal size taken with replacement.
• Students will understand that calculating the standard deviation of the sampling distribution of sample means applies reasonably well for samples taken without replacement provided the sample size n is no larger than 10% of the population size N.
• (Optional/Extension) Students will understand that when samples are taken from a finite population without replacement the actual standard deviation of the sampling distribution of sample means is adjusted by multiplication by the Finite Population Correction Factor.

#### Vocabulary

• Confidence interval
• Hypothesis test
• Finite Population Correction Factor
• Mean
• Normal distribution
• Population
• Sample
• Sampling distribution
• Standard deviation