Andrew took a random sample of 10 decorated ceramic cups from a population of 100 cups to determine the sample mean number of de
fective cups. Barbara took another random sample of 10 cups from the same population for the same task. What would happen if Andrew and Barbara both choose a sample size of 20? The difference of their sample means is likely to
Given that Andrew took a random sample of 10 decorated ceramic cups from a population of 100 cups to determine the sample mean number of defective cups. Barbara took another random sample of 10 cups from the same population for the same task.
if Andrew and Barbara both choose a sample size of 20, then the difference may be more accurate.
Because 5 out of 10 and 4 out of 10 say if both have taken then the difference would be 1.
But in case from 20 cups 11 and 8 were drawn the difference would be
3. Thus if sample size increases difference may slightly vary but proportion would tend to be the same.