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CENTRAL LIMIT THEOREM

CENTRAL LIMIT THEOREM

Assessment

Presentation

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11th Grade

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Practice Problem

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Medium

Created by

Vanessa Roa

Used 5+ times

FREE Resource

14 Slides • 14 Questions

1

STATISTICS & PROBABILITY

By Vanessa Roa

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2

Word Cloud

Type your name if you are present.

3

Multiple Choice

Are you ready to accomplish today's lesson objectives?

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Yes, I am ready

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Yes, I am very ready

3

No, I am not ready

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Undecided

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Let's play this game...
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5

Fill in the Blanks

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What word is described in the pictures?

6

Fill in the Blanks

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What word is described in the pictures?

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Fill in the Blanks

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What word is described in the pictures?

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CENTRAL LIMIT THEOREM
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OBJECTIVES OF THE LESSON

At the end of the lesson, students will be able to:

a.     illustrate Central Limit Theorem (CLT);

b.     apply Central Limit Theorem (CLT) in solving real-life word problems, and

c.      show appreciation on the relevance of Central Limit Theorem (CLT) in real-life setting.

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11

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The principle that the distribution of sample means approximates a normal distribution as the sample size gets larger, regardless of the population's distribution.

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CENTRAL LIMIT THEOREM

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Multiple Choice

Based on the definition, which of the following describes the Central Limit Theorem (CLT)?

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2
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All of the illustrations describe CLT

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Let us apply CLT and solve a statistical word problem
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QUICK TIP!

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A nutritionist is studying the average fat intake in a city. From previous survey, the average daily fat intake for adults is 80 grams, with standard deviation of 15 grams. The nutritionist decides to take a random sample of 38 adults to estimate the average fat intake for the population. What is the probability that the average fat intake for the sample of 38 will exceed 85 grams?

Illustrative Example 1:

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18

Fill in the Blanks

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What is the value of the population mean?

Type answer...

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Fill in the Blanks

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What is the value of the population standard deviation?

Type answer...

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Fill in the Blanks

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What is the value of the sample size?

Type answer...

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Fill in the Blanks

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What is the value of the sample mean?

Type answer...

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Show your solution on the board...SPIN THE WHEEL!

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We shall find the area and probability for the MEAN TIME it takes the group to complete the test by getting the area under the normal curve. USE THE Z-TABLE.

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Fill in the Blanks

What is the area that corresponds to the z-score?

Type answer...

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Multiple Choice

What is the probability that the average fat intake for the sample of 36 adults will exceed 85 grams?

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0.02018%

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2.018%

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20.18%

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0.2018%

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Word Cloud

In two words, describe the importance of Central Limit Theorem in research?

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Let us practice our problem solving skills.

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Critical Thinking Quest

28

Fill in the Blanks

A health organization is studying the average cholesterol level in a population of adults. Based on past studies, the population mean cholesterol level is 200 mg/dL with a standard deviation of 30 mg/dL. The health organization decides to take a sample of 64 adults to estimate the average cholesterol level of the population. What is the probability that the average cholesterol level in the sample of 64 adults will exceed 205 mg/dL?

Type answer...

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STATISTICS & PROBABILITY

By Vanessa Roa

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