The College Board reported the following mean scores for the three parts of the

Question

The College Board reported the following mean scores for the three parts of the Scholastic Aptitude Test (SAT).

Critical Reading 502

Mathematics 515

Writing 494

Assume that the population standard deviation on each part of the test is = 100.

a. What is the probability a sample of 90 test takers will provide a sample mean test score within 10 points of the population mean of 502 on the Critical Reading part of the test?

b. What is the probability a sample of 90 test takers will provide a sample mean test score within 10 points of the population mean of 515 on the Mathematics part of the test?

c. What is the probability a sample of 100 test takers will provide a sample mean test score within 10 of the population mean of 494 on the writing part of the test?

Label all answers with the appropriate mathematical notation and provide a one-sentence explanation of your answer.

**PLEASE NOTE** - I am using Excel and it is CRUCIAL that I know the excel functions to discover the answers. PLEASE HELP ME UNDERSTAND THIS BY LISTING THEM!!! Finding the answer isn't as hard for me as being able to input the functions via excel. THANK YOU SO MUCH!!!!

Explanation / Answer

a) P(502-10<X<502+X) =P(492<X<512) =norm.dist(512,502,100/sqrt(90),true) -norm.dist(492,502,100/sqrt(90),true)

b)P(515-10<X<515+10)=P(495<X<525) =norm.dist(525,515,100/sqrt(90),true) -norm.dist(495,515,100/sqrt(90),true)

c)P(494-10<X<494+10)=P(484<X<504)=norm.dist(504,484,100/sqrt(100),true)norm.dist(484,494,100/sqrt(100),true)

please revert if you are facing problem in applyinh them

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