CENTRAL LIMIT THEOREM

STATISTICS & PROBABILITY

By Vanessa Roa

Word Cloud

Type your name if you are present.

Multiple Choice

Are you ready to accomplish today's lesson objectives?

• Yes, I am ready

• Yes, I am very ready

• No, I am not ready

• Undecided

Let's play this game...

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What word is described in the pictures?

Fill in the Blanks

What word is described in the pictures?

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What word is described in the pictures?

CENTRAL LIMIT THEOREM

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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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

Multiple Choice

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

• All of the illustrations describe CLT

Let us apply CLT and solve a statistical word problem

QUICK TIP!

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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What is the value of the population mean?

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What is the value of the population standard deviation?

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What is the value of the sample size?

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What is the value of the sample mean?

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

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.

Fill in the Blanks

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

Multiple Choice

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

• 0.02018%

• 2.018%

• 20.18%

• 0.2018%

Word Cloud

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

Let us practice our problem solving skills.

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Critical Thinking Quest

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?