The average math SAT score is 516 with a standard deviation of 113. A particular high school claims that its students have unusually high math SAT scores. A random sample of 45 students from this school was selected, and the mean math SAT score was 55 Is the high school justified in its claim? Explain. Yes , because the z-score )is unusual Round to two decimal places as needed.) since it does not lie within the range of a usual event, namely within 1 standard deviation of the mean of the sample means.

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The average math SAT score is 516 with a standard deviation of 113. A particular high school claims that its students have unusually high math SAT scores. A random sample of 45 students from this school was selected, and the mean math SAT score was 553.
Is the high school justified in its claim? Explain.
Yes . because the z-score
is unusual
since it does not lie within the range of a usual event, namely within
I standard deviation
of the mean of the sample means.
(Round to two decimal places as needed.)
Transcribed Image Text:The average math SAT score is 516 with a standard deviation of 113. A particular high school claims that its students have unusually high math SAT scores. A random sample of 45 students from this school was selected, and the mean math SAT score was 553. Is the high school justified in its claim? Explain. Yes . because the z-score is unusual since it does not lie within the range of a usual event, namely within I standard deviation of the mean of the sample means. (Round to two decimal places as needed.)
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