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Solved: Heights of Mothers and Daughters. In Exercises,

Elementary Statistics | 12th Edition | ISBN: 9780321836960 | Authors: Mario F. Triola ISBN: 9780321836960 18

Solution for problem 3 CRE Chapter 9.5

Elementary Statistics | 12th Edition

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Elementary Statistics | 12th Edition | ISBN: 9780321836960 | Authors: Mario F. Triola

Elementary Statistics | 12th Edition

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3
Problem 3 CRE

Problem  3 CRE

 

Heights of Mothers and Daughters. In Exercises, use the following heights (in.) of mothers, fathers, and their adult daughters. The data are matched so that each column consists of heights from the same family.

Confidence Interval Construct a 95% confidence interval estimate of the mean height of daughters. Write a brief statement that interprets the confidence interval.

Step-by-Step Solution:

Answer :

Step 1 :

Given,  heights (in.) of mothers, fathers, and their adult daughters. The data are matched so that each column consists of heights from the same family.

Mother

Daughter

Difference (d)

63

62.2

0.8

67

67.2

-0.2

62

63.4

-1.4

69

68.4

0.6

63

62.2

0.8

64

64.7

-0.7

63

59.6

3.4

64

61

3

60

64

-4

65

65.4

-0.4

Sum

1.9

Average

0.19

The claim is to find the 95% confidence interval

Now, the mean value is given by,

 =

And the Standard deviation is

Step 2 of 3

Chapter 9.5, Problem 3 CRE is Solved
Step 3 of 3

Textbook: Elementary Statistics
Edition: 12
Author: Mario F. Triola
ISBN: 9780321836960

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