Homework: Section 5.4 Homework Save Score: 0 of 1 pt 10 of 13 (11 complete) HW S

Question

Homework: Section 5.4 Homework Save Score: 0 of 1 pt 10 of 13 (11 complete) HW Score: 846296, 11 of 13 5.4.36 -Question Help The average math SAT score is 522 with a standard deviation of 118. 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 544. is the high school justified in its claim? Yes because the z-score(is unusual since t does not lie within the range of a usual event, namety within standard deviation of he mean of the sample means. n the box and then cick Check Answer All parts showing Clear All

Explanation / Answer

Answer to the question is as follows:

Average = 522

Stdev = 118

n = 45

Xbar = 544

Let us calculate the Z -statistic = (Xbar - Average)/(Stdedv/sqrt(n)) = (544-522)/(118/sqrt(45)) = 1.251
At alpha = .05, we have 2 as Z for a 2tailed test.

Since, 1.251 is less than 1.96 we have the fact that this Xbar statistic doesn't lie in the rejection region. So,

No, because the Z-score is 1.251 is usual, since it does lie within the range of a usual event, namely within 2 standard deviation of the mean of the sample
means

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