NOTE: This problem has many steps. You are asked to enter intermediate values in

Question

NOTE: This problem has many steps. You are asked to enter intermediate values in the process. These answers will require a fixed number of decimal points. However, you MUST ALWAYS REMEMBER that you are not using the rounded numbers in your future calculations. The only exception to this is that you may use z-scores rounded to three decimal places (of course, you also may use the unrounded version as well). In a certain school district in a large metropolitan area, the SAT scores over that past five years are normally distributed with a mean of 1467. Furthermore, Q 3 is 1679. For a normal distribution, what is the z-score for the 75-th percentile? z = (Enter answer rounded to three decimal places.) Using this information, what is the standard deviation of this population of SAT scores? sigma = (Enter answer rounded to the nearest whole number.) For a normal distribution, what is the z-score for the 95-th percentile? z = (Enter answer rounded to three decimal places.) Now, use all of the information to determine what the P 95 score is for this population? P 95 = (Enter answer rounded to the nearest whole number.)

Explanation / Answer

1)here z score for 75th percentile z= 0.674

2)standard deviation of this population of SAT scores=(X-mean)/z score

=(1679-1467)/0.674=314.54~315

3)

z-score for the 95-th percentile =1.645

4)

P 95 score is for this population=mean+z*Std deviation=1467+1.645*315=1985 ( please try 1984 if this comes wrong)

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