Chapter 2: Q. 2.130 (page 80)

Suppose that a variable of a population has a reverse-J-shaped distribution and that two simple random samples are taken from the population.

a) Would you expect the distributions of the two samples to have roughly the same shape? If so, what shape?
b) Would you expect some variation in shape for the distributions of the two samples? Explain your answers.

Short Answer

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Ans:

(a) A simple random sample selected from people is expected to have the same distribution. In other words, the distribution of two simple random samples is a distorted distribution of J.

(b) Yes, it is expected that there will be some differences between the two simple random samples. This is because two samples are sold with an id from the given number of people and are not the same set of views for both. In addition, the distribution status does not matter if the sample size is large.

Step by step solution

Step 1. Given information.

given,

Suppose that a variable of a population has a reverse-J-shaped distribution and that two simple random samples are taken from the population.

Step 2. (a) Description,

Given that the variability of a given population is a fixed distribution opposite J.

Therefore, a simple random sample selected from people is expected to have the same distribution. In other words, the distribution of two simple random samples is a distorted distribution of J.

Step 3. (b) Description,

Yes, it is expected that there will be some differences between the two simple random samples. This is because two samples are sold with an id from the given number of people and are not the same set of views for both. In addition, the distribution status does not matter if the sample size is large.