Describe a process used to draw simple random sample of size 10 from a group of 87 people.
Question
Describe a process used to draw simple random sample of size 10 from a group of 87 people.
Solution
Sure, here is a step-by-step process to draw a simple random sample of size 10 from a group of 87 people:
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Numbering: Assign a unique number to each individual in the group. This could be from 1 to 87, as there are 87 people in the group.
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Define the Sample Size: In this case, the sample size has already been defined as 10.
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Random Selection: Use a random number generator to select 10 unique numbers from 1 to 87. There are many online tools and statistical software that can do this. Make sure that the selection is random and that each number has an equal chance of being selected.
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Draw the Sample: The individuals corresponding to the 10 randomly selected numbers form your simple random sample.
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Verification: Verify that your sample is indeed random. This can be done by checking that each individual in your sample had an equal chance of being selected.
This process ensures that every possible sample of size 10 has an equal chance of being selected, which is the key principle of simple random sampling.
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The entire group or set of items or individuals from which the sample is drawn.
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(a)The organizers of a conference want to survey attendees about the registration fee. Which of the following best describes a systematic sample of attendees?The organizers assign each attendee a different number. Using a random number table, the organizers draw 50 of those numbers at random. Then, the organizers select the attendees assigned to the drawn numbers. Every set of 50 attendees is equally likely to be drawn using the random number table.The organizers form 2 groups of attendees based on the attendees' employment statuses. Then, the organizers select 25 attendees at random from each group.The organizers take a list of the attendees and select every 5th attendee until 50 attendees are selected.(b)A chemist at a pharmaceutical company wants to test the quality of a new batch of microscopes. Which of the following best describes a convenience sample of microscopes?The chemist takes a list of the microscopes and selects every 3rd microscope until 72 microscopes are selected.The microscopes in the first shipment that was received are easily accessible. So, he selects all 72 of the microscopes in this shipment.The chemist assigns each microscope a different number. Using a random number table, he draws 72 of those numbers at random. Then, he selects the microscopes assigned to the drawn numbers. Every set of 72 microscopes is equally likely to be drawn using the random number table.(c)Counselors at a college want to poll students about how much time the students spend studying. Which of the following best describes a stratified sample of students?The counselors form 4 groups of students based on the numbers of classes the students are taking. Then, the counselors select 16 students at random from each group.The counselors form groups of 8 students based on the students' majors. Then, the counselors select all of the students in 8 randomly chosen groups.The students living in a particular dorm building on campus are easily accessible. So, the counselors select the 64 students living in that particular dorm building.
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