Question

Identify all possible simple random samples of size 6 for 72, 74, 76,77, 81, 84, 85, 91. Compute the

mean of each possible sample and make a histogram of the sample means. (explain sample size 6 too if can - formula used)

Again, please try to explain how you obtain another sample size like 6 too if can - formula used

Answer 1

To identify all possible simple random samples of size 6 from the given set of numbers, use the combination formula. Compute the mean of each sample and create a histogram of the sample means.

Step-by-step explanation:

To identify all possible simple random samples of size 6 for the given numbers, we need to use combination formula. The combination formula for selecting 'r' objects from a set of 'n' objects is:
C(n, r) = n! / (r!(n-r)!)
So, using this formula, we can find all the possible combinations of selecting 6 numbers from the given set. Then, we compute the mean of each sample by summing up the numbers and dividing by the sample size, which in this case is 6. Finally, we can make a histogram of the sample means to visualize their distribution.