a. A company owns five machines that are used to manufacture the shoes. The average duration each machine can operate (in Months) without needing any maintenance work is as follows: 23 22 27 30 22 i....

Extracted text: a. A company owns five machines that are used to manufacture the shoes. The average duration each machine can operate (in Months) without needing any maintenance work is as follows: 23 22 27 30 22 i. Find the mean and the standard deviation for the machines. ii. List all possible samples of size 4 (without replacement) that can be selected from the data and calculate the mean for each sample. iii. Construct the probability sampling distribution of x.