Consider the students in your statistics class as the population and suppose the
ID: 3020971 • Letter: C
Question
Consider the students in your statistics class as the population and suppose they are seated in four rows of 10 students each. To select a sample, toss a coin. If it comes up heads, you use the 20 students sitting in the first two rows as your sample. It is comes up tails, you use the 20 students sitting in the last two rows as your sample. Does every student have an equal chance of being selected for the sample? Explain. Is, it possible to include students sitting in row 3 with students sitting in row 2 in your sample? Is your sample a simple random sample? Explain. Describe a process you could use to get a simple random sample of size 20 from a class of size 40.Explanation / Answer
(a) b, yes, your seating location and randomised coin flip ensure equal chances of being selected.because it is purely random so each and everyone has equal chance when a coin tosses head and tail has equal chance of occurence that is 50-50.
(b) a, no it is not possible with this described method of selection because we will select first 2 row or last 2 rows according to the described method
b, yes it is a simple random sample because each and every student has equal chance where as in stratified we have divide the entire class into stratas according specified character like marks, IQ,height etc, in systematic divide the entire population into k groups , in cluster sampling divide the population into clusters .
(c) c, assign each student a no.1,2,3,...40 and use a computer or random number tables to select 20 students. we use random number tables by selecting any one page and select numbers row wise or coloum wise or diagonally so that the sample is random.