## Math Problem Statement

The dataset below consists of reading scores for 3 rd graders at Spring Run Elementary. The average reading score for a 3 rd grader in the US is 100. X: 110,100, 1 10, 120, I IO. a. Write a directional hypothesis based on the scenario above. b. What is the critical value for this problem (one-tailed and alpha = 5%) c. Perform a t-test (show your work!). d. Was the directional hypothesis supported?

## Solution

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## Math Problem Analysis

### Mathematical Concepts

Statistics

Hypothesis Testing

t-Test

### Formulas

t = (X̄ - μ) / (s / √n)

Sample Standard Deviation: s = √(Σ(Xi - X̄)² / (n - 1))

### Theorems

Student's t-distribution

Hypothesis Testing

### Suitable Grade Level

Grades 9-12