Scores on the math portion of the SAT exam for those taking the exam in 2016 fol

Question

Scores on the math portion of the SAT exam for those taking the exam in 2016 follow a normal distribution with a mean of 475 and a standard deviation of 105. We plan to select a SRS of 400 SAT takers from 2016 and record the math score for each person in the sample. a. What is the population of interest in this problem? b. What variable is recorded on each unit in this population? c. What type of variable is being recorded? d. What are the parameters of interest in the problem? (Include the correct symbol) a. Once a sample is selected, the men of the 400 scores in the sample will be determined. Is this quantity a parameter or statistic? Explain for full credit. b. What is the sampling distribution for the sample mean for sample of size 400. Verify the conditions hold for the CLT for sample means. Suppose you want the standard deviation for the sample means to be 7 or less. How large of a sample size is needed? Show work. Round your answer to the next whole number.

Explanation / Answer

4.Solution:

a) Scores on the math portion of the SAT exam.

b) Population mean and population standard deviation is recorded.

c) Math score for each person in the sample is recorded.

d) Sample mean x, sample size n = 400, population mean = 475

population standard deviation = 105

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