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SAT scores are normally distributed with mean = 1000 and standard deviation σ = 200. 15) Take a sample of 30 students. According to the Central Limit Theorem, what is the distribution N(A,B) of the sample mean SAT scores x of the 30 students? Put the value of A in the top box and the value of B in the bottom box. (Round B to 2 decimal places) a. b. 16) Using the distribution you found in # 15, if you have a sample of 30 students, find the z-score if the sample mean SAT score ("x-bar") for the 30 students is 972. 17) Find the Table A entry for the z-score you found in #16. 18) Using the previous answers in this section, determine the probability that the mean SAT score of the 30 students is below 972.

SAT scores are normally distributed with mean = 1000 and standard deviation σ = 200. 15) Take a sample of 30 students. According to the Central Limit Theorem, what is the distribution N(A,B) of the sample mean SAT scores x of the 30 students? Put the value of A in the top box and the value of B in the bottom box. (Round B to 2 decimal places) a. b. 16) Using the distribution you found in # 15, if you have a sample of 30 students, find the z-score if the sample mean SAT score ("x-bar") for the 30 students is 972. 17) Find the Table A entry for the z-score you found in #16. 18) Using the previous answers in this section, determine the probability that the mean SAT score of the 30 students is below 972.

A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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SAT scores are normally distributed with mean = 1000 and standard deviation = 200. 15) Take a sample of 30 students. According to the Central Limit Theorem, what is the distribution N(A,B) of the sample mean SAT scores x of the 30 students? Put the value of A in the top box and the value of B in the bottom box. (Round B to 2 decimal places) a. b. 16) Using the distribution you found in #15, if you have a sample of 30 students, find the z-score if the sample mean SAT score ("x-bar") for the 30 students is 972. 17) Find the Table A entry for the z-score you found in # 16. ( 18) Using the previous answers in this section, determine the probability that the mean SAT score of the 30 students is below 972.
Transcribed Image Text:SAT scores are normally distributed with mean = 1000 and standard deviation = 200. 15) Take a sample of 30 students. According to the Central Limit Theorem, what is the distribution N(A,B) of the sample mean SAT scores x of the 30 students? Put the value of A in the top box and the value of B in the bottom box. (Round B to 2 decimal places) a. b. 16) Using the distribution you found in #15, if you have a sample of 30 students, find the z-score if the sample mean SAT score ("x-bar") for the 30 students is 972. 17) Find the Table A entry for the z-score you found in # 16. ( 18) Using the previous answers in this section, determine the probability that the mean SAT score of the 30 students is below 972.
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