I want to know how much time high school students are sleeping a day. I grouped

Question

I want to know how much time high school students are sleeping a day. I grouped all students by the grade: from grades 9 to 12. Furthermore, I divided each group of each grade into two: male and female groups. In total I have 8 groups. I selected four students from each of these 8 groups. What is the sampling technique is this? (                             )

I have five male students and four female students. I select three at random out of these nine students. I want to know the distribution of the number of female students selected. What is the distribution of this value? (Just give the name, or type of the distribution, e.g., uniform distribution)     (                             )

Fill in the blank the right answer :

Explanation / Answer

I want to know how much time high school students are sleeping a day. I grouped all students by the grade: from grades 9 to 12. Furthermore, I divided each group of each grade into two: male and female groups. In total I have 8 groups. I selected four students from each of these 8 groups. What is the sampling technique is this?

This is an cluster sampling.

Cluster sampling is a sampling technique where the entire population is divided into groups and a random sample of these clusters are selected.

Given that, male students = 5

females students = 4

Select three student at random out of these 9 students.

The distribution of number of females is Binomial with n = 4 and p = 1/2.

Here success is female and there are two outcomes either male or female.

probability of success is 1/2.

and n = number of females = 4

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