Question: CAN YOU EXPLAIN HOW DO I GET THE ANSWERS A population consists of the four numbers 2, 3, 6, 9 with mean = 5 and

CAN YOU EXPLAIN HOW DO I GET THE ANSWERS A population consists of the four numbers 2, 3, 6, 9 with mean = 5 and variance = 7.5. Consider all the possible samples of size two which can be drawn with replacement from the population. Below is the sampling distribution of the sample mean.

Sample

Sample mean

Sample

Sample mean

2, 2

2

6, 2

4

2, 3

2.5

6, 3

4.5

2, 6

4

6, 6

6

2, 9

5.5

6, 9

7.5

3, 2

2.5

9, 2

5.5

3, 3

3

9, 3

6

3, 6

4.5

9, 6

7.5

3, 9

6

9, 9

9

Sample mean

2

2.5

3

4

4.5

5.5

6

7.5

9

Probability

1/16

2/16

1/16

2/16

2/16

2/16

3/16

2/16

1/16

Find the standard error of the sample mean. Answer = 1.9365

The weight of Kayakers in a certain Team are normally distributed with a mean of 158 pounds and a standard deviation of 11.6 pounds. What is the probability that the mean weight of random sample of 30 kayakers will be below 154 pounds? Answer = 0.0294

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