50 workers from Company B have been selected and their salaries are recorded in the following frequency table:

Salary Range ($)
Frequency

501 – 1000
2

1001 – 1500
6

1501 – 2000
14

2000 – 2500
20

2501 – 3000
8

There are altogether 400 workers in Company B and none of them earns more than $3000.

Are the following statements true or false?

Question

50 workers from Company B have been selected and their salaries are recorded in the following frequency table:

Salary Range ($)
 Frequency
 
501 – 1000 
 2
 
1001 – 1500 
 6
 
1501 – 2000 
 14
 
2000 – 2500
 20
 
2501 – 3000
 8
 

                                                                                    

There are altogether 400 workers in Company B and none of them earns more than $3000.

 

Are the following statements true or false?

anonymous · Answer

a)    100 workers’ salary data is a better representation of the 400 workers’ salaries compared to 50 workers’ salary data. 


b)    The selection of the 50 workers from the population of 400 workers must be random in order to estimate the average salary of all 400 workers in Company B. 

c)    The average salary for 50 workers is the same as the average salary of all 400 workers.