Sampling Distributions and Approximation through Simulation

Sampling Distributions and Approximation through Simulation

Assessment

Interactive Video

Mathematics, Social Studies

1st - 6th Grade

Practice Problem

Hard

Created by

Wayground Content

FREE Resource

The video tutorial discusses the proposed change in high school graduation requirements to include four math and four science courses. It explores whether 50% of students favor this change, using a sample survey of 100 students. The lesson covers sampling distributions, hypothesis testing, and the use of simulations to approximate sampling distributions. It explains how to design a simulation, analyze results, and make decisions based on statistical data. The tutorial concludes that the sample proportion of 41% is unusual if the true population parameter is 50%, leading to the rejection of the hypothesis.

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7 questions

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1.

OPEN ENDED QUESTION

3 mins • 1 pt

What is the proposed change regarding high school graduation requirements?

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2.

OPEN ENDED QUESTION

3 mins • 1 pt

How did the school determine the students' opinions on the proposed change?

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3.

OPEN ENDED QUESTION

3 mins • 1 pt

What percentage of the sampled students favored the change?

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4.

OPEN ENDED QUESTION

3 mins • 1 pt

What hypothesis is being tested regarding the population parameter?

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5.

OPEN ENDED QUESTION

3 mins • 1 pt

What is the significance of conducting a simulation in this context?

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6.

OPEN ENDED QUESTION

3 mins • 1 pt

How many trials were conducted in the simulation, and what was the purpose?

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7.

OPEN ENDED QUESTION

3 mins • 1 pt

What conclusion was reached regarding the hypothesis that 50% of students favor the change?

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