Question

a trade school surveyed a random sample of current applicants about their intended course of study. the table shows the results.
course of study
carpenter: 45
welder: 34
mechanic: 56
electrician: 28
based on the survey results, which inference can be made about all the current applicants to the trade school?
a. the number of applicants who plan to be a mechanic is twice the number who plan to be an electrician.

b. the number of applicants who plan to be a welder is about half the number who plan to be a carpenter.

c. the number of applicants who plan to be a carpenter is about the same as the number who plan to be a mechanic.

d. the number of applicants who plan to be either a welder or an electrician is less than the number who plan to be a mechanic.

Explanation:

Step1: Analyze Option A

Check if mechanic (56) is twice electrician (28). Calculate \( 28\times2 = 56 \). So 56 is twice 28.

Step2: Analyze Option B

Check if welder (34) is half of carpenter (45). Calculate \( 45\div2 = 22.5 \), 34 ≠ 22.5.

Step3: Analyze Option C

Check if carpenter (45) is same as mechanic (56). 45 ≠ 56.

Step4: Analyze Option D

Calculate welder + electrician = 34 + 28 = 62. Mechanic is 56. 62 > 56, so D is false.

Answer:

A. The number of applicants who plan to be a mechanic is twice the number who plan to be an electrician.