i have a question regarding statistics. i just don't know how to do it and would really appreciate if someone could tell how i can solve it.
the question is;
a population of scores contains exactly 5 scores : 2, 3, 6, 8, 11
a) there are 5x5=25 different samples of two scores (n=2) that can be drawn from the population. one would be (2.2), (2,3), (2,6) and so on. List all the possible sample means. (note: this is analogous to sampling forever , so in effect we have just created a sampling distribution of means.)
ive looked through all my notes and my textbook and i just cant figure out how to this.
thank you :)
* 13 minutes ago
* - 4 days left to answer.
See if the following response helps:
http://www.jiskha.com/display.cgi?id=1290315864
To solve this question, you need to find all the possible combinations of two scores from the given population and then calculate the mean for each combination. Here's how you can do it step by step:
1. Start by writing down all the possible combinations of two scores from the given population:
(2, 3), (2, 6), (2, 8), (2, 11), (3, 6), (3, 8), (3, 11), (6, 8), (6, 11), (8, 11)
2. Next, calculate the mean for each combination. The mean is calculated by summing up the values and dividing by the number of values. For example, for the combination (2, 3), the mean is (2 + 3) / 2 = 2.5.
Sample means: 2.5, 4, 5, 6.5, 4.5, 5.5, 7, 7, 8.5, 9.5
So, the list of all possible sample means for the given population is: 2.5, 4, 5, 6.5, 4.5, 5.5, 7, 7, 8.5, 9.5.
It's important to note that the sample means will vary depending on the combinations chosen, so if you are asked to find the sample means for a different sample size or a different population, the process will be different.