The average math SAT score is 523 with a standard deviation of 115. A particular high...

The average math SAT score is 523 with a standard deviation of 115. A particular high school claims that its students have unusually high math SAT scores. A random sample of

60 students from this school was selected, and the mean math SAT score was 540. Is the high school justified in its claim? Explain.

(Yes.No) because the z-score () is (unusual,not unusual) since it (lies, does not lie)

within the range of a usual event, namely within (1 standard deviation,2 standard deviations, 3 standard deviations) of the mean of the sample means.

(Round to two decimal places as needed.)

Expert Solution

µ =    523
σ =    115
n=   60

X =   540

Z =   (X - µ )/(σ/√n) = (   540   -   523.00   ) / (   115.000   / √   60   ) =   1.15

(No) because the z-score (1.15) is (,not unusual) since it (lies, )

within the range of a usual event, namely within (2 standard deviations, ) of the mean of the sample means.

orchestra answered 1 year ago

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