Assume a population of 2,4, and 9. Assume that samples of size n=2 are randomly selected with replacement from the population. Listed below are the nine different samples. Complete parts a through d below. 2,2 2,4 2,9 4,2 4,4 4,9 9,2 9,4 9, a. Find the value of the population standard deviation σ. σ=2.94392 Part B: Find the standard deviation of each of the nine samples, then summarize the sampling distribution of the standard deviations in the format of a table representing the probability distribution of the distinct standard deviation values. Use ascending order of the sample standard deviations. s Probability ▼1.8 0 1 ▼1.414 2 2.5 ▼ 6.4 3.536 12.5 ▼ 4.95 24.5 7 (Type integers or fractions.) (Round to three decimal places as needed.)
Assume a population of 2,4, and 9. Assume that samples of size n=2 are randomly selected with replacement from the population. Listed below are the nine different samples. Complete parts a through d below.
2,2 |
2,4 |
2,9 |
4,2 |
4,4 |
4,9 |
9,2 |
9,4 |
9, |
a. Find the value of the population standard deviation σ.
σ=2.94392
Part B: Find the standard deviation of each of the nine samples, then summarize the sampling distribution of the standard deviations in the format of a table representing the probability distribution of the distinct standard deviation values. Use ascending order of the sample standard deviations.
s |
Probability |
|
|
▼1.8 0 1 |
|
|
▼1.414 2 2.5 |
|
|
▼
6.4 3.536 12.5 |
|
|
▼
4.95 24.5 7 |
|
(Type integers or fractions.)
(Round to three decimal places as needed.)
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