The average math SAT score is 517517 with a standard deviation of 112112. A particular high...

The average math SAT score is 517517 with a standard deviation of 112112. A particular high school claims that its students have unusually high math SAT scores. A random sample of 5050 students from this school was selected, and the mean math SAT score was 546546. Is the high school justified in its claim? Explain.

Expert Solution

Alternative hypothesis are: The Noll and Hop=517 Hair > S17 (Null hypothesis) (Alternative hypothesis) Given, x=546 o= 112 Sample size, n=50 Significance level, a= 0.05 Test statistic, z= x - - 546-517 112/550 n 1.831 P-value = Plz> 1.831) = 0.03355 Decision rule. Reject Ho it p-value La Here, 0.03358 < &=o-os, so we reject the null hypothesis

orchestra answered 2 years ago

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