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.   7.40 29.80 27.10 16.51 14.00   8.81 5.20 20.46 14.90 33.67   30.91 14.86 16.87 15.35 9.72   19.80 14.86 8.09 10.30 18.30   ​ ​(a) Find the sample mean.   The sample mean is ​(Round to two decimal places as​ needed.)   ​(b) Find the sample standard deviation.   The sample standard deviation is ​(Round to two decimal places as​ needed.)   ​(c) Construct a 95% confidence interval for the population mean μ.   The 95​% confidence interval for the population mean μ is ​() () ​(Round to two decimal places as​ needed.)

Mathematics For Machine Technology
8th Edition
ISBN:9781337798310
Author:Peterson, John.
Publisher:Peterson, John.
Chapter29: Tolerance, Clearance, And Interference
Section: Chapter Questions
Problem 16A: Spacers are manufactured to the mean dimension and tolerance shown in Figure 29-12. An inspector...
icon
Related questions
icon
Concept explainers
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.
 
7.40
29.80
27.10
16.51
14.00
 
8.81
5.20
20.46
14.90
33.67
 
30.91
14.86
16.87
15.35
9.72
 
19.80
14.86
8.09
10.30
18.30
 
​(a) Find the sample mean.
 
The sample mean is
​(Round to two decimal places as​ needed.)
 
​(b) Find the sample standard deviation.
 
The sample standard deviation is
​(Round to two decimal places as​ needed.)
 
​(c) Construct a
95%
confidence interval for the population mean μ.
 
The 95​% confidence interval for the population mean μ
is
​()
()
​(Round to two decimal places as​ needed.)
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 3 images

Blurred answer
Knowledge Booster
Correlation, Regression, and Association
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.
Similar questions
Recommended textbooks for you
Mathematics For Machine Technology
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
Glencoe Algebra 1, Student Edition, 9780079039897…
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill