Boys Heights Heights of ten-year-old boys (5th graders) follow an approximate normal distribution with mean μ = 55.5 inches and standard deviation σ = 2.7 inches. (a) According to this normal distribution, what proportion of 10-year-old boys are between 4 ft 4.5 in and 5 ft 0.5 in tall (between 52.5 inches and 60.5 inches)? Round your answer to four decimal places.
Added by Luc-A E.
Step 1
The z-score is a measure of how many standard deviations an element is from the mean. The formula for calculating the z-score is: Z = (X - μ) / σ Where: X = value μ = mean σ = standard deviation For the lower limit (52.5 inches): Z1 = (52.5 - 55.5) / 2.7 = Show more…
Show all steps
Close
Your feedback will help us improve your experience
Sri K and 96 other Intro Stats / AP Statistics educators are ready to help you.
Ask a new question
Labs
Want to see this concept in action?
Explore this concept interactively to see how it behaves as you change inputs.
Key Concepts
Recommended Videos
Boys Heights Heights of ten year old boys (5th graders) follow an approximate normal distribution with mean μ=55.5 inches and standard deviation σ=2.7 inches. a. According to this normal distribution, what proportion of 10-year-old boys are between 4 ft 4.0 in and 5 ft 3.5 in tall (between 52.0 inches and 63.5 inches)? b. A parent says his 10-year-old son is in the 97th percentile in height. How tall is this boy?
Jason G.
Chris M.
Find the mean deviation about the mean for the data. $$ \begin{array}{|c|c|c|c|c|c|c|} \hline \begin{array}{c} \text { Height } \\ \text { in cms } \end{array} & 95-105 & 105-115 & 115-125 & 125-135 & 135-145 & 145-155 \\ \hline \begin{array}{c} \text { Number of } \\ \text { boys } \end{array} & 9 & 13 & 26 & 30 & 12 & 10 \\ \hline \end{array} $$
Statistics
Introduction
Recommended Textbooks
Elementary Statistics a Step by Step Approach
The Practice of Statistics for AP
Introductory Statistics
Transcript
18,000,000+
Students on Numerade
Trusted by students at 8,000+ universities
Watch the video solution with this free unlock.
EMAIL
PASSWORD