Consider a set of cards that has four cards labeled 1, 3, 5, and 7.
Suppose you pick two cards, without replacement, and obtain the mean of the two numbers that are drawn from the set.
Which of the following tables shows the sampling distribution?
• a.)
Sample (n = 2) x̄
S1 = {1, 1} 1
S2 = {1, 3} 2
S3 = {3, 3} 3
S4 = {3, 5} 4
S5 = {5, 5} 5
S6 = {7, 7} 7
• b.)
Sample (n = 2) x̄
S1 = {1, 3} 2
S2 = {1, 5} 3
S3 = {3, 5} 4
S4 = {3, 7} 5
S5 = {5, 5} 5
S6 = {5, 7} 6
• c.)
Sample (n = 2) x̄
S1 = {1, 1} 1
S2 = {1, 3} 2
S3 = {1, 5} 3
S4 = {1, 7} 4
S5 = {3, 7} 5
S6 = {5, 7} 6
• d.)
Sample (n = 2) x̄
S1 = {1, 3} 2
S2 = {1, 5} 3
S3 = {1, 7} 4
S4 = {3, 5} 4
S5 = {3, 7} 5
S6 = {5, 7} 6