a watch manufacturing company produces 3,150 watches per week. the companys manager wants to know the…
a watch manufacturing company produces 3,150 watches per week. the companys manager wants to know the percentage of watches that are defective. which of these would provide the manager with a representative sample of the watches to be tested?\na. testing the first watch produced each week\nb. randomly picking 120 watches produced each day\nc. selecting the first 120 watches produced on monday\nd. randomly picking 100 watches produced on wednesday\ne. selecting the first watch produced each day of the week
Answer
Explanation:
Step1: Understand representative sample
A representative sample should be randomly selected and cover the entire population (all watches produced per week) as much as possible.
Step2: Analyze option A
Testing only the first watch each week is not random and may not be representative as it doesn't account for watches produced throughout the week.
Step3: Analyze option B
Randomly picking 120 watches each day means samples are taken throughout the week from different production times. It covers the whole - week production and is random, so it can be representative.
Step4: Analyze option C
Selecting only the first 120 watches on Monday only represents Monday's early - production watches and not the whole week's production.
Step5: Analyze option D
Randomly picking 100 watches on Wednesday only represents Wednesday's production and not the whole week.
Step6: Analyze option E
Selecting the first watch each day is not a large enough sample and may not be representative as it doesn't account for the majority of watches produced each day.
Answer:
B. Randomly picking 120 watches produced each day