Answered: In a random sample of 1,001 adults,…

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.4: Distributions Of Data

Problem 3GP

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Question

In a random sample of 1,001 adults, suppose I find that the Body Mass Index (BMI) is normally distributed. (The BMI is a commonly used, albeit controversial, metric that assesses weight for height. You don’t want to see it too low or too high.). Below are my results for the mean, median, standard deviation, standard error of the mean, and the 95 percent confidence interval for the mean

(a) What proportion of the sample of 1,001 adults has a BMI above 22.0812

Statistics
Body Mass Index
Descriptives
N
Valid
1001
Statistic
Std. Error
Missing
Body Mass Index
Mean
27.7643
.17963
Mean
27.7643
95% Confidence Interval
for Mean
Lower Bound
27.4118
Std. Error of Mean
.17963
Upper Bound
28.1168
Median
26.6229
Std. Deviation
5.68310

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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