A)Use population {3, 8, 10}. Assume that samples of size n = 2 are randomly selected with replacement. Construct a table representing the sampling distribution of the sample mean.
B) Use population {3, 8, 10}. Assume that samples of size n = 2 are randomly selected with replacement. Find the mean of the sampling distribution of the sample mean.
C) Three coins are flipped. Assume that for a single flip, a Heads up is equally likely as Tails up. Construct the table that describes the sampling distribution of the sample proportion of Tails from three flipped coins.
D) Three coins are flipped. Assume that for a single flip, a Heads up is equally likely as Tails up. Find the mean of the sample proportions of Tails from three flipped coins.
(a) The table is:
X1 | X2 |
3 | 3 |
3 | 8 |
3 | 10 |
8 | 3 |
8 | 8 |
8 | 10 |
10 | 3 |
10 | 8 |
10 | 10 |
(b) The table is:
X1 | X2 | Means |
3 | 3 | 3 |
3 | 8 | 5.5 |
3 | 10 | 6.5 |
8 | 3 | 5.5 |
8 | 8 | 8 |
8 | 10 | 9 |
10 | 3 | 6.5 |
10 | 8 | 9 |
10 | 10 | 10 |
Means | 7 |
(c) The table is:
X | P(X) |
0 | 0.12500 |
1 | 0.37500 |
2 | 0.37500 |
3 | 0.12500 |
1.00000 |
(d) The table is:
X | P(X) | |
0 | 0.12500 | |
1 | 0.37500 | |
2 | 0.37500 | |
3 | 0.12500 | |
1.00000 | ||
1.500 | expected value |
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