Answered: The following table illustrates the BMI…

Calculus For The Life Sciences

2nd Edition

ISBN:9780321964038

Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Chapter1: Functions

Section1.2: The Least Square Line

Problem 8E

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1. The following table illustrates the BMI for a number of patients recently enrolled in a study investigating the relationship between BMI and type 2 diabetes.

Participant	BMI (kg/m2)
A	26.5
B	19.2
C	29.7
D	27.4
E	30.2
F	28.9

A) Assuming the participants can be considered to be normally distributed, and that they come
from a population with a σ=2.4 kg/m2
, calculate a 95% confidence interval for the mean BMI of
the population for which they represent.
B) Correctly interpret the confidence interval you found above.

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

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