the assets (in billions of dollars)of the four wealthiest people in a particular country are 46,34,12,10. Assume that the samples of size 2 are randomly selected with replacement from this population of four values. After listing the possible sample and finding the mean of each sample use a table to describe the sampling distribution of the sampling means. 46, 40, 34, 29, 28, 23, 22, 12, 11, 10 find the probability for all

Consider using p-value to test H0 versus Ha by setting á equal to .10. We reject H0 at level á of significance if and only if the p-value is:

To find the probability for each sample mean, we need to calculate the mean of each sample and then determine the frequency of each mean. Let's go through the steps.

Step 1: List all possible samples of size 2 with replacement from the population:
{(46, 46), (46, 34), (46, 12), (46, 10), (34, 46), (34, 34), (34, 12), (34, 10), (12, 46), (12, 34), (12, 12), (12, 10), (10, 46), (10, 34), (10, 12), (10, 10)}

Step 2: Find the mean of each sample:
For example, for the sample (46, 46), the mean is (46 + 46) / 2 = 46.
For the sample (46, 34), the mean is (46 + 34) / 2 = 40. And so on.

The sample means are: 46, 40, 29, 28, 23, 22, 11.

Step 3: Create a table to describe the sampling distribution of the sampling means:
| Sample Mean | Frequency |
|-------------|-----------|
| 46 | 1 |
| 40 | 1 |
| 34 | 0 |
| 29 | 1 |
| 28 | 1 |
| 23 | 1 |
| 22 | 1 |
| 12 | 0 |
| 11 | 1 |

Step 4: Calculate the probability for each sample mean:
To calculate the probability, we divide the frequency of each sample mean over the total number of samples. In this case, the total number of samples is 16.

Probability of sample mean 46: 1/16 = 0.0625
Probability of sample mean 40: 1/16 = 0.0625
Probability of sample mean 34: 0/16 = 0 (since there are no samples with a mean of 34)
Probability of sample mean 29: 1/16 = 0.0625
Probability of sample mean 28: 1/16 = 0.0625
Probability of sample mean 23: 1/16 = 0.0625
Probability of sample mean 22: 1/16 = 0.0625
Probability of sample mean 12: 0/16 = 0 (since there are no samples with a mean of 12)
Probability of sample mean 11: 1/16 = 0.0625

So, the probabilities for each sample mean are 0.0625, 0.0625, 0, 0.0625, 0.0625, 0.0625, 0.0625, 0, 0.0625, respectively.