Central Limit Theorem

MODULE 11 DAY 02

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​Central Limit​

​Theorem

Go to joinmyquiz.com and enter the code that will be given.​

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​Opening Prayer:

Our Loving Father, thank You for giving us another opportunity to gather. Bless everyone, that we may be able to achieve, what we need to achieve for this day. Send us Your Holy Spirit, to be our strength and enlightenment in doing our mission. Guide us always. In Jesus' name, we pray. Amen.

​Opening Prayer:

Merciful Father, be with us today. Send ​

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​Agenda ...

> Central Limit Theorem​

> ​Sampling Distribution

through CLT

> Standard Error and Z-

score​ of the sample mean

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Who am I?

​Rev. Fr. Ramon Caluza

Open Ended

Based on our previous discussion, what concept can be applied in our activity? To help you with this, kindly look at the illustration.

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​CENTRAL LIMIT THEOREM

• the distribution of sample means approximates a normal distribution as the sample size gets larger, regardless of the population's distribution​

​Central Limit Theorem

Sampling Distrib using CLT

Standard Error and Z-score

​By Central Limit Theorem, sampling distribution of the sample mean may be solved using:

​Central Limit Theorem

Sampling Distrib using CLT

Standard Error and Z-score

​Standard Error and Z-score of the Sample Mean

​Central Limit Theorem

Sampling Distrib using CLT

Standard Error and Z-score

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What is the STANDARD ERROR in this problem? (Use two decimals only if possible)

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What is the Z-SCORE in this problem? (Use two decimals only if possible)

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With the help of the illustration, what is the probability that the buyer will place an order?

(Put % in your answer.)

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A sample size of 22 is randomly selected from a normal population with a mean of 43 and a standard deviation of 26. What is the probability that the sample has a m.ean less than 37.75?

What is the STANDARD ERROR here? (Use two decimal places.)

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A sample size of 22 is randomly selected from a normal population with a mean of 43 and a standard deviation of 26. What is the probability that the sample has a mean less than 37.75?

What is the Z-SCORE OF THE SAMPLE MEAN here? (Use two decimal places.)

Draw

Kindly draw the probability that the sample has a mean less than 37.75

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A sample size of 22 is randomly selected from a normal population with a mean of 43 and a standard deviation of 26. What is the probability that the sample has a m.ean less than 37.75?

(Put % in your answer.)

​A sample size of 22 is randomly selected from a normal population with a mean of 43 and a variance of 26. What is the probability that the sample has a mean less than 37.75?

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​PROGRESS TRACKER:

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​Central Limit Theorem

Sampling Distribution using CLT

Standard Error and Z-score of the Sample Mean

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​Why do you think it is important for us to act as a true Louisian inside and especially outside the school?

​Reflection ...