Question

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

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 1461. Furthermore, Q3Q3 is 1672.

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 P95P95 score is for this population?
P95=P95=  
(Enter answer rounded to the nearest whole number.)

LicensePoints possible: 1
This is attempt 1 of 3.

Homework Answers

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
NOTE: This problem has many steps. You are asked to enter intermediate values in the process....
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,...
Q1-. A normal distribution has a mean of 15 and a standard deviation of 2. Find...
Q1-. A normal distribution has a mean of 15 and a standard deviation of 2. Find the value that corresponds to the 75th percentile. Round your answer to two decimal places. Q2-.Tyrell's SAT math score was in the 64th percentile. If all SAT math scores are normally distributed with a mean of 500 and a standard deviation of 100, what is Tyrell's math score? Round your answer to the nearest whole number. Q3-.Find the z-score that cuts off an area...
1. A distribution of values is normal with a mean of 110.8 and a standard deviation...
1. A distribution of values is normal with a mean of 110.8 and a standard deviation of 33.5. Find the probability that a randomly selected value is less than 20.7. P(X < 20.7) = Enter your answer as a number accurate to 4 decimal places. *Note: all z-scores must be rounded to the nearest hundredth. 2. A distribution of values is normal with a mean of 2368.9 and a standard deviation of 39.4. Find the probability that a randomly selected...
A distribution of values is normal with a mean of 247.9 and a standard deviation of...
A distribution of values is normal with a mean of 247.9 and a standard deviation of 5.9. Find P8, which is the score separating the bottom 8% from the top 92%. P8 = Enter your answer as a number accurate to 1 decimal place. Answers obtained using exact z-scores or z-scores rounded to 3 decimal places are accepted. Explain how you found P8.
A distribution of values is normal with a mean of 65.2 and a standard deviation of...
A distribution of values is normal with a mean of 65.2 and a standard deviation of 7.4. Find P32, which is the score separating the bottom 32% from the top 68%. P32 = Enter your answer as a number accurate to 1 decimal place. Answers obtained using exact z-scores or z-scores rounded to 3 decimal places are accepted.
A distribution of values is normal with a mean of 187.9 and a standard deviation of...
A distribution of values is normal with a mean of 187.9 and a standard deviation of 20.4. Find P10, which is the score separating the bottom 10% from the top 90%. P10 = Enter your answer as a number accurate to 1 decimal place. Answers obtained using exact z-scores or z-scores rounded to 3 decimal places are accepted.
Q1-. A normal distribution has a mean of 15 and a standard deviation of 2. Find...
Q1-. A normal distribution has a mean of 15 and a standard deviation of 2. Find the value that corresponds to the 75th percentile. Round your answer to two decimal places. Q2-.Tyrell's SAT math score was in the 64th percentile. If all SAT math scores are normally distributed with a mean of 500 and a standard deviation of 100, what is Tyrell's math score? Round your answer to the nearest whole number. Q3-.Find the z-score that cuts off an area...
The SAT is the most widely used test in the undergraduate admissions process. Scores on the...
The SAT is the most widely used test in the undergraduate admissions process. Scores on the math portion of the SAT are believed to be normally distributed and range from 200 to 800. A researcher from the admissions department at the University of New Hampshire is interested in estimating the mean math SAT scores of the incoming class with 99% confidence. How large a sample should she take to ensure that the margin of error is below 24? (You may...
The SAT is the most widely used test in the undergraduate admissions process. Scores on the...
The SAT is the most widely used test in the undergraduate admissions process. Scores on the math portion of the SAT are believed to be normally distributed and range from 200 to 800. A researcher from the admissions department at the University of New Hampshire is interested in estimating the mean math SAT scores of the incoming class with 90% confidence. How large a sample should she take to ensure that the margin of error is below 17? (You may...
A population of values has a normal distribution with μ=107μ=107 and σ=44σ=44. You intend to draw...
A population of values has a normal distribution with μ=107μ=107 and σ=44σ=44. You intend to draw a random sample of size n=94n=94. Find P12, which is the score separating the bottom 12% scores from the top 88% scores. P12 (for single values) = Find P12, which is the mean separating the bottom 12% means from the top 88% means. P12 (for sample means) = Enter your answers as numbers accurate to 1 decimal place. Answers obtained using exact z-scores or...