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:
- How do you calculate a z-score for a given height in this sample?
- What is the range of heights within one standard deviation of the mean?
- How would you interpret the standard deviation in the context of this data?
- If your height was 75 inches, how would it compare to the sample mean?
- 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.
Ask a new question for Free
By Image
Drop file here or Click Here to upload
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)
Related Recommendation
Normal Distribution and Height Requirements for Men at an Amusement Park
Normal Distribution of Heights: What Percentage of 18-Year-Old Males are Between 66.8 and 72.4 Inches?
Calculate Mean, Range, and Standard Deviation for Heights of Army Recruits
Calculating Probabilities for Heights Using the Normal Distribution
Probability and Z-Scores in Normal Distribution: Heights of Men Aged 20-29