Scores for a common standardized college aptitude test are normally distributed with a mean of 516 and a standard deviation of 98. Randomly selected men are given a Test Preparation Course before taking this test. Assume, for sake of argument, that the preparation course has no effect. If 1 of the men is randomly selected, find the probability that his score is at least 552.8. P(X > 552.8) = Enter your answer as a number accurate to 4 decimal places. If 12 of the men are randomly selected, find the probability that their mean score is at least 552.8. P(M > 552.8) = Enter your answer as a number accurate to 4 decimal places.

Scores for a common standardized college aptitude test are normally distributed with a mean of 516 and a standard deviation of 98. Randomly selected men are given a Test Preparation Course before taking this test. Assume, for sake of argument, that the preparation course has no effect. If 1 of the men is randomly selected, find the probability that his score is at least 552.8. P(X > 552.8) = Enter your answer as a number accurate to 4 decimal places. If 12 of the men are randomly selected, find the probability that their mean score is at least 552.8. P(M > 552.8) = Enter your answer as a number accurate to 4 decimal places.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.4: Distributions Of Data

Problem 19PFA

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Question

Scores for a common standardized college aptitude test are normally distributed with a mean of 516 and a standard deviation of 98. Randomly selected men are given a Test Preparation Course before taking this test. Assume, for sake of argument, that the preparation course has no effect.

If 1 of the men is randomly selected, find the probability that his score is at least 552.8.
P(X > 552.8) =
Enter your answer as a number accurate to 4 decimal places.

If 12 of the men are randomly selected, find the probability that their mean score is at least 552.8.
P(M > 552.8) =
Enter your answer as a number accurate to 4 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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