The total SAT score of high school seniors in recent yearshave mean =1026 and st

Question

The total SAT score of high school seniors in recent yearshave mean =1026 and standard deviation =209. Thedistribution of SAT scores is roughly Normal. a) Ramon scored 1100. If scores have a Normal distribution,what percentile of the distribution is this? (That is, what percentof scores are lower than Ramon's?) answer: z= (x-)/ = (1100-1026)/209 = .3541              1-.3541=0.6368 b) Now consider the mean x(bar) of the scores of 70 randomlychosen students. If x(bar) =1100, what percentile of the samplingdistribution of x(bar) is this? answer: 209/70 = 25             z= (1100-1026)/25 = 2.96 = .9985 c) Which of your calculations, a or b is less accurate becauseSAT scores do not have an exactly Normal distribution? Explain your answer. answer: b is less accurate.... help! The total SAT score of high school seniors in recent yearshave mean =1026 and standard deviation =209. Thedistribution of SAT scores is roughly Normal. a) Ramon scored 1100. If scores have a Normal distribution,what percentile of the distribution is this? (That is, what percentof scores are lower than Ramon's?) answer: z= (x-)/ = (1100-1026)/209 = .3541              1-.3541=0.6368 b) Now consider the mean x(bar) of the scores of 70 randomlychosen students. If x(bar) =1100, what percentile of the samplingdistribution of x(bar) is this? answer: 209/70 = 25             z= (1100-1026)/25 = 2.96 = .9985 c) Which of your calculations, a or b is less accurate becauseSAT scores do not have an exactly Normal distribution? Explain your answer. answer: b is less accurate.... help!

Explanation / Answer

b is more accurate because standard error is taken intoconsideration. standard error is also called sampling error. sampling errorgives us some idea of the precision of our statisticalestimate. A low sampling error means we had relatively less variabilityor range in the sampling distribution. . standard error = / n = 209 / 70=25 z = (x-) / standard error

Related Questions

Navigate

• Browse (All)
• Browse T
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.