Question 1147236: the average Math SAT score is 513 with a standard deviation of 119 a particular high school claims that the students have unusually high math SAT scores a random sample of 60 students from the school was elected and the mean SAT score was 530 is the high school justified in its claim? explain.
blank, because the z score blank is not blank since it blank within the range of a usual even namely within blank deviations of the mean of the sample means
Answer by Boreal(15235)   (Show Source):
You can put this solution on YOUR website! find z-score
assume normal distribution
z>(x-mean)/sd/sqrt(n) = (530-513)/119/sqrt(60)
z>17*sqrt(60)/119
z>1.11
This is not unusually high, because the z score of +1.11 is not >1.96 which is in the range of not more than 1.96 sd of the mean of the sample means. The p-value, or the probability of finding a result like this or more extreme if this is a random sample from that distribution is 0.1335, greater than the 0.05 often used as the defining point.
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