Answered: SAT scores in one state is normally…

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

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.4: Distributions Of Data

Problem 22PFA

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SAT scores in one state is normally distributed with a mean of 1506 and a standard deviation of 80. Suppose we randomly pick 60 SAT scores from that state.

a) Find the probability that one of the scores in the sample is less than 1509.
P(X<1509)=

b) Find the probability that the average of the scores for the sample of 60 scores is less than 1509.
P(¯¯X<1509)=

Round each answer to at least 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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