Education Technology

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

TI-Nspire™ CX
TI-Nspire™ CX CAS

5.0

# Statistics: Central Limit Theorem

by Texas Instruments

#### Objectives

• Students will recognize that when n is sufficiently large, the sampling distribution of sample means, x̄, is approximately normal, regardless of the shape of the population distribution (Central Limit Theorem).
• Students will recognize that when the population distribution is normal, the sampling distribution of sample means, x̄, is normal for any sample size n.
• Students will recognize the consequences of the Central Limit Theorem when applied to quantitative data: a normal model with μ = μ (the true population mean) and that decreases as sample size, n, increases.
• Students will recognize the consequences of the Central Limit Theorem when applied to proportions: a normal model with μ = P (the true population proportion) and σ that decreases as sample size, n, increases.

#### Vocabulary

• Central Limit Theorem (CLT)
• normal distribution
• population
• proportion
• quantitative data
• sample
• sample mean
• sample proportion
• sampling distribution
• skewed right distribution