Math Problem Statement

A survey was conducted of STAT 206 students and they were asked their height in inches. The mean of the sample was 69.76 inches. The standard deviation of the sample was 3.8 inches. What is your height in inches as a whole number?

Solution

The survey results provided a mean height of 69.76 inches with a standard deviation of 3.8 inches. However, the question "What is your height in inches as a whole number?" refers to your specific height, which I don’t have unless you provide it.

Would you like to clarify or provide your height data for me to process?

Here are some questions related to your example:

  1. How do you calculate a z-score for a given height in this sample?
  2. What is the range of heights within one standard deviation of the mean?
  3. How would you interpret the standard deviation in the context of this data?
  4. If your height was 75 inches, how would it compare to the sample mean?
  5. What statistical tests could you use to compare this sample to another group's height data?

Tip: When analyzing height data, always ensure you know if it's normally distributed, as it affects how we interpret means and standard deviations.

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Math Problem Analysis

Mathematical Concepts

Statistics
Descriptive Statistics
Normal Distribution

Formulas

Z-Score Formula: z = (X - μ) / σ

Theorems

68-95-99.7 Rule (Empirical Rule)
Central Limit Theorem

Suitable Grade Level

Undergraduate (Introductory Statistics)