SAT scores in one state is normally distributed with a mean of 1526 and a standard deviation of 112. Suppose we randomly pick 46 SAT scores from that state. a) Find the probability that one of the scores in the sample is less than 1529. P(X<1529)P(X<1529) =  b) Find the probability that the average of the scores for the sample of 46 scores is less than 1529. P(¯¯¯X<1529)P(X¯<1529) =

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 1526 and a standard deviation of 112. Suppose we randomly pick 46 SAT scores from that state.

a) Find the probability that one of the scores in the sample is less than 1529.
P(X<1529)P(X<1529) = 

b) Find the probability that the average of the scores for the sample of 46 scores is less than 1529.
P(¯¯¯X<1529)P(X¯<1529) = 

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