Math Problem Statement

A normal population has a mean of 63 and a standard deviation of 14. You select a random sample of 9.Compute the probability the sample mean is: (Round your z values to 2 decimal places and final answers to 4 decimal places):

Greater than 67.

Less than 62.

Between 62 and 67.

Solution

Ask a new question for Free

By Image

Drop file here or Click Here to upload

Math Problem Analysis

Mathematical Concepts

Probability
Sampling Distribution
Normal Distribution
Z-Scores

Formulas

Standard Error Formula: σ_x̄ = σ / √n
Z-Score Formula: z = (x̄ - μ) / σ_x̄
Probability from Z-Score using Z-Table

Theorems

Central Limit Theorem

Suitable Grade Level

Grades 10-12