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.

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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 1 year ago

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