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Correct Statements? Which of the following statements are

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

Problem 2BSC Chapter 3.3

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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Problem 2BSC

Correct Statements? Which of the following statements are true?

a. If each of 25 sample values is equal to 20 min, the standard deviation of the sample is 0 min.

b. For any set of sample values, the standard deviation can never be a negative value.

c. If the standard deviation of a sample is 3 kg, then the variance is 9 kg.

d. If the variance of a sample is 16 sec2, then the standard deviation is 4 sec.

e. If the standard deviation of a sample is 25 cm, then the variance is 5 cm2.

Step-by-Step Solution:
Step 1 of 3

Problem 2BSC

Answer:

Step1 ofn 2:

We need to find,

a. If each of 25 sample values is equal to 20 min, the standard deviation of the sample is 0 min.

b. For any set of sample values, the standard deviation can never be a negative value.

c. If the standard deviation of a sample is 3 kg, then the variance is 9 kg.

d. If the variance of a sample is 16 sec2, then the standard deviation is 4 sec.

e. If the standard deviation of a sample is 25 cm, then the variance is 5 cm2.

Step2 of 2:

a).

Consider,

    =

     = 20

Hence,

Standard deviation is calculated by using the formula

     =  

     =

     = 0.

Therefore, “True”, If each of 25 sample values is equal to 20 min, the standard deviation of the sample is 0 min.

b).

W.k.t,

Here,

=          [mathematical formula]

                    = +

Step 2 of 3

Chapter 3.3, Problem 2BSC is Solved
Step 3 of 3

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

Since the solution to 2BSC from 3.3 chapter was answered, more than 371 students have viewed the full step-by-step answer. Elementary Statistics was written by and is associated to the ISBN: 9780321836960. The full step-by-step solution to problem: 2BSC from chapter: 3.3 was answered by , our top Statistics solution expert on 03/15/17, 10:30PM. The answer to “Correct Statements? Which of the following statements are true?a. If each of 25 sample values is equal to 20 min, the standard deviation of the sample is 0 min.________________b. For any set of sample values, the standard deviation can never be a negative value.________________c. If the standard deviation of a sample is 3 kg, then the variance is 9 kg.________________d. If the variance of a sample is 16 sec2, then the standard deviation is 4 sec.________________e. If the standard deviation of a sample is 25 cm, then the variance is 5 cm2.” is broken down into a number of easy to follow steps, and 92 words. This textbook survival guide was created for the textbook: Elementary Statistics, edition: 12. This full solution covers the following key subjects: sample, standard, deviation, variance, min. This expansive textbook survival guide covers 121 chapters, and 3629 solutions.

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