Answered: The following data represent the…

Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015

1st Edition

ISBN:9781680331141

Author:HOUGHTON MIFFLIN HARCOURT

Publisher:HOUGHTON MIFFLIN HARCOURT

Chapter11: Data Analysis And Displays

Section: Chapter Questions

Problem 7CR

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Question

The following data represent the concentration of dissolved organic carbon (mg/L) collected from 20 samples of organic soil. Assume that the population is normally distributed. Complete parts (a) through (c) on the right.

20.46
8.81
30.91
19.80
29.80
16.87
14.86
14.86
27.10
20.46
10.30
8.09
16.51
14.90
15.35
22.49
11.90
33.67
9.72
18.30

(a) Find the sample mean.

The sample mean is

____

(Round to two decimal places as needed.)

(b) Find the sample standard deviation.

(Round to two decimal places as needed.)

99%

confidence interval for the population mean

μ.

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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