Find and interpret a 90​% confidence interval for the mean depth of all subterranean rodent burrows.   The 90​% confidence interval for μ is from______ to ________(round answers to 3 decimal places.)

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter1: Variables, Expressions, And Integers
Section1.5: Adding Integers
Problem 45E
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Zoologists studied the characteristics of the burrow systems of a subterranean rodent. A sample of 51 burrows had their​ depths, in​ centimeters, recorded in the following table.  using technology.

 

c. Find and interpret a 90​% confidence interval for the mean depth of all subterranean rodent burrows.
 
The 90​% confidence interval for μ is from______ to ________(round answers to 3 decimal places.)
Depths (cm)
15.2
13.7
19.5
15.6
17.4
14.4
18.1
12.1
12.3
18.5
18.6
12.4
13.7
16.8
13.6
15.5
13.3
16.6
14.8
14.3
17.8
12.2
14.4
13.5
11.3
12.7
14.6
12.3
11.0
16.6
17.5
16.4
11.4
16.9
17.5
15.8
16.2
8.6
16.2
16.2
19.8
9.2
12.7
17.5
15.8
14.4
15.1
18.5
15.6
15.8
14.2
Transcribed Image Text:Depths (cm) 15.2 13.7 19.5 15.6 17.4 14.4 18.1 12.1 12.3 18.5 18.6 12.4 13.7 16.8 13.6 15.5 13.3 16.6 14.8 14.3 17.8 12.2 14.4 13.5 11.3 12.7 14.6 12.3 11.0 16.6 17.5 16.4 11.4 16.9 17.5 15.8 16.2 8.6 16.2 16.2 19.8 9.2 12.7 17.5 15.8 14.4 15.1 18.5 15.6 15.8 14.2
Expert Solution
Step 1

we have to find 90% confidence interval

in the given data

n = 51

sum of data = 764.1

therefore mean = sum of data/n

                         =764.1/51

                         =14.9824

variance = xi-x¯2n322.19451= 6.31753 

standard deviation = variance  = 2.51347

 

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