SAT scores: Assume that in a given year the mean mathematics SAT score was 515, and the standard deviation was 116. A sample of 65 scores is chosen. Use Excel. (a) What is the probability that the sample mean score is less than 500?(b) What is the probability that the sample mean score is between 480 and 520? Round the answer to at least four decimal places.(c) Find the 80th percentile of the sample mean. Round the answer to at least two decimal places. (d) Would it be unusual if the sample mean were greater than 550? Round the answer to at least four decimal places.(e) Do you think it would be unusual for an individual to get a score greater than 550? Explain. Assume the variable is normally distributed. Round the answer to at least four decimal places.

Answered: (a) What is the probability that the…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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SAT scores: Assume that in a given year the mean mathematics SAT score was 515, and the standard deviation was 116. A sample of 65 scores is chosen. Use Excel.

(a) What is the probability that the sample mean score is less than 500?

(b) What is the probability that the sample mean score is between 480 and 520? Round the answer to at least four decimal places.

(d) Would it be unusual if the sample mean were greater than 550? Round the answer to at least four decimal places.

(e) Do you think it would be unusual for an individual to get a score greater than 550? Explain. Assume the variable is normally distributed. Round the answer to at least four decimal places.

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

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