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Correct Statements? Which of the following statements are

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

Solution for 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

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]

                    = +-2

       >

Therefore, “True”, For any set of sample values, the standard deviation can never be a negative value.

c).

We have standard deviation

And variance is given by  

                                               = 9

Therefore, “False”, If the standard deviation of a sample is 3 kg, then the variance is not 9 kg.

 

d).

We have variance

And standard deviation is given by

                                                             = 4sec.

Therefore, “True”, If the variance of a sample is 16 sec2, then the standard deviation is 4 sec.

e).

We have standard deviation

And variance is given by  

                                               = 625

Therefore, “False”, If the standard deviation of a sample is 25 cm, then the variance is not 5.

 

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 482 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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