Number Theory/Sampling

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Question
Hello - I am to administer a survey to a group of engineers but the company doesn't have enough resources to administer the survey to all the engineers - so I can only sample the engineers.  What is the equation to determine the number of engineers I need to sample in order to obtain a representative sample?

Answer
Hello wing.
This is not a number theory question, but a statistics one, so you might be best to ask this to a statistics expert.  Basically, you have to decide on the categories, eg gender, seniority, age, qualification level etc. Choose categories where you think the answers may be different.
You probably need a two way table with gender as the columns.  Then when you have found the numbers in each box, you take the same fraction or percentage from each box.  What percentage you take depends on resources available.
Good luck with your survey.
vijilant

Number Theory

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Vijilant

Expertise

Most questions on number theory, divisibility, primes, Euclidean algorithm, Fermat`s theorem, Wilson`s theorem, factorisation, euclidean algorithm, diophantine equations, Chinese remainder theorem, group theory, congruences, continued fractions.

Experience

Teacher of math for 53 years

Organizations
AQA Doncaster Bridge Club Danum Strings Orchestra Doncaster Conservative Club Danum Strings Orchestra Simply Voices Choir Doncaster TNS mystery shopping St Paul's Music Group Cantley

Publications
Journal of mathematics and its applications M500 magazine

Education/Credentials
BSc (Hons) Liverpool (Science). BA (Hons) OU (Mathematics)

Awards and Honors
State Scholarship 1955 Highest Score in Yorkshire on OU course MST209 50 prize First class honours in OU BA Mathematics

Past/Present Clients
I taught John Birt, former Director of the BBC in 1961. His homework book was the most perfect I have ever marked. And also the most neat. I could tell he was destined for great things. One of my classmates was the poet Roger McGough, and I have a mention in his autobiography.

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