Answered: Is there a significant difference…

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

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.5: Comparing Sets Of Data

Problem 1GP

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Question

A study was undertaken to compare the average high-density lipoprotein (HDL) levels of normal and
obese adults in a certain community. HDL levels of a random sample of adults from this community
were measured (in milligrams per deciliter or mg/dL) and presented below.

Assume that the HDL levels of both the normal and obese adults follow the normal distribution with
unknown but equal population variances. Is there a significant difference between the average HDL
levels of normal and obese adults? Use a 5% level of significance.

Classification Sample Size
Меan
Standard Deviation
Normal
14
45
10.1
Obese
15
36
11.5

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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