Three randomly selected children are surveyed. The ages of the children are 2, 4, and 12. Assume that samples of size n=2 are randomly selected with replacement from the population of 2, 4, and...

Three randomly selected children are surveyed. The ages of the children are

and

12.

Assume that samples of size

n=2

are randomly selected with replacement from the population of

and

12.

Listed below are the nine different samples. Complete parts (a) through (d).

2,2

2,4

2,12

4,2

4,4

4,12

12,2

12,4

12,12

a. Find the value of the population median.

enter your response here

(Type an integer or a decimal. Do not round.)

b. Find the median of each of the nine samples, then summarize the sampling distribution of the medians in the format of a table representing the probability distribution of the distinct median values.

Sample Median	Probability
▼ 4.8 2 6.4	enter your response here
▼ 5 3 5.5	enter your response here
▼ 1.2 2.8 4	enter your response here
▼ 10 14 7	enter your response here
▼ 16 13 8	enter your response here
▼ 18 24 12	enter your response here

(Type integers or simplified fractions.)

c. Find the mean of the sampling distribution of the sample median.

Jun 11, 2022

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Three randomly selected children are surveyed. The ages of the children are 2, 4, and 12. Assume that samples of size n=2 are randomly selected with replacement from the population of 2, 4, and...

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Three randomly selected children are surveyed. The ages of the children are 2​, 4​, and 12. Assume that samples of size n=2 are randomly selected with replacement from the population of 2​, 4​, and...

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Three randomly selected children are surveyed. The ages of the children are 2, 4, and 12. Assume that samples of size n=2 are randomly selected with replacement from the population of 2, 4, and...