Question:
Choose the correct definition of a sampling distribution.
a) The sampling distribution of a statistic of size n n is the distribution of the parameter in one simple random sample of size n n from a given population.
b) the distribution of the values obtained from a simple random sample of size n n from the same population.
c) the distribution of the statistic in all possible samples of size n n from a given population.
d) the distribution of the statistic in one simple random sample of size n n from a given population.
e) the distribution of all values of the parameter resulting from all populations of size n n.
Answer:
Sampling distribution is the distribution of the statistic in all possible samples of size n n from a given population
Step-by-step explanation:
The distribution of frequencies of different possibilities to occur for a statistic of a population is the sampling distribution of a given population
Let's say a veterinarian wanted to check the average weight of all cats born in Africa in the last 15 years and compare them to those born in Europe in the same last 15 years. The veterinarian cannot get enough time to check the whole cats that were born in the last 15 years.
What the veterinarian will now do is to select like 60 cats in africa and 60 in Europe, that means he'll select 120 cats as sample and use their respective average weights to determine their sample mean for each continent.
