## Math Problem Statement

A population has parameters μ=160.6μ=160.6 and σ=33.4σ=33.4. You intend to draw a random sample of size n=197n=197.

What is the mean of the distribution of sample means? μ¯x=μx¯=

What is the standard deviation of the distribution of sample means? (Report answer accurate to 2 decimal places.) σ¯x=σx¯=

## Solution

## Math Problem Analysis

### Mathematical Concepts

Statistics

Sampling Distribution

Central Limit Theorem

### Formulas

Standard Error of the Mean: σₓ̄ = σ / √n

### Theorems

Central Limit Theorem

### Suitable Grade Level

College Level

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