Question

Sagan scored 1200 on the SAT. The distribution of SAT scores in a reference population is...

Sagan scored 1200 on the SAT. The distribution of SAT scores in a reference population is normally distributed with mean 980 and standard deviation 100. Andrea scored 27 on the ACT. The distribution of ACT scores in a reference population is normally distributed with mean 20 and standard deviation 5. Who performed better on the standardized exams and why?

a. Sagan scored higher than Andrea. Sagan's standardized score was 2.2, which is 2.2 standard deviations above the mean and Andrea's standardized score was 1.4, which is 1.4 standard deviations above the mean.

b. Sagan scored higher than Andrea. Sagan's score was a 1200, which is greater than Andrea's score of 27.

c. Andrea scored higher than Sagan. Andrea's standardized score was 1.4, which is 1.4 standard deviations above the mean, but closer to the mean than Sagan's standardized score of 2.2 standard deviations above the mean.

d. Sagan scored higher than Andrea. Sagan's score was 220 points above the mean of 980, and Andrea's was 7 points above the mean of 20.

e. Andrea scored higher than Sagan. Andrea is only 9 points from the top score of 36 on the ACT, and Sagan is 400 points from the top score of 1600 on the SAT.

Math   Statistics-And-Probability   
0 0
Add a commentTranscribed image text
Next >

Homework Answers

Answer #1

Option A is correct.

Sagan scored higher than Andrea. Sagan's standardized score was 2.2, which is 2.2 standard deviations above the mean and Andrea's standardized score was 1.4, which is 1.4 standard deviations above the mean.

Mean = 980

Standard deviation = 100

Given Sagan scored 1200 on the SAT

P(X = 1200) = (1200-980)/100

= 220/100= 2.2

Now Andrea scored 27 on ACT.

P(X = 27) = (27-20)/5

= 7/5= 1.4

Sagan scored higher than Andrea. Sagan's standardized score was 2.2, which is 2.2 standard deviations above the mean and Andrea's standardized score was 1.4, which is 1.4 standard deviations above the mean.

0 0
Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Log In

Sign Up

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
Eleanor scores 680 on the mathematics part of the SAT. The distribution of SAT math scores...
Eleanor scores 680 on the mathematics part of the SAT. The distribution of SAT math scores in recent years has been Normal with mean 535 and standard deviation 97. Gerald takes the ACT Assessment mathematics test and scores 27. ACT math scores are Normally distributed with mean 22.8 and standard deviation 2.1. What is Elanor's standardized score? Round to 2 decimal places. What is Gerald's standardized score? Round to 2 decimal places. Assuming that both tests measure the same kind...
Suppose that SAT math scores are normally distributed with a mean of 516 and a standard...
Suppose that SAT math scores are normally distributed with a mean of 516 and a standard deviation of 115, while ACT math scores have a normal distribution with a mean of 22 and a standard deviation of 5. James scored 650 on the SAT math and Jacob scored 29 on the ACT math. Who did better in terms of the standardized z-score? Group of answer choices James Jacob They did relatively the same. Impossible to tell because of the scaling
Assume that SAT scores are distributed normally with a population mean of 980 and a population...
Assume that SAT scores are distributed normally with a population mean of 980 and a population standard deviation of 65. What is the probability of SRS 1 person and they have an SAT score more than 1020? a) .2692                       b) .3846                       c) .6153                       d) .7324          
ACT and SAT scores are both known to be normally distributed. In 2017, the mean and...
ACT and SAT scores are both known to be normally distributed. In 2017, the mean and standard deviation for the ACT were μ=20 and σ=6, respectively. The mean and standard deviation for the SAT were μ=1060 and σ=200, respectively. a. What ACT score would place a student in the same percentile as a student who scored 1370 on the SAT in 2010? (In other words, what ACT score is "equivalent" to an SAT score of 1370?) Round your answer to...
Math part of SAT test scores has mean μ=500 and standard deviation σ=100. ACT test scores...
Math part of SAT test scores has mean μ=500 and standard deviation σ=100. ACT test scores have mean μ=18 and standard deviation σ=6. Eleanor scored 680 on her SAT math test, Frodo received score of 27 on his ACT test. Assuming that both tests measured the same ability, who has a better score.
Suppose your statistics professor reports test grades as z-scores (standard scores), and you received a z-score...
Suppose your statistics professor reports test grades as z-scores (standard scores), and you received a z-score of 2.2 on an exam. This means your Group of answer choices test score is 2.2 points higher than the mean score in the class. test score is 2.2 points lower than the mean score in the class. test score is 2.2 standard deviations lower than the mean score in the class. test score is 2.2 standard deviations higher than the mean score in...
The distribution of SAT scores in math for an incoming class of business students has a...
The distribution of SAT scores in math for an incoming class of business students has a mean of 610 and standard deviation of 20. Assume that the scores are normally distributed. Find the probability that an individual’s SAT score is less than 600. Find the probability that an individual’s SAT score is between 590 and 620. Find the probability that an individual’s SAT score is greater than 650. What score will the top 5% of students have?
High school students are faced with taking the ACT or the SAT tests to measure their...
High school students are faced with taking the ACT or the SAT tests to measure their readiness to start college. Quantitative SAT scores have a mean of 1525 and a standard deviation of 305 while quantitative ACT scores have a mean of 25.1 and a standard deviation of 6.     a. A student takes the ACT and receives a score of 35 while another takes the SAT and receives a score of 2202. Which student has scored higher relatively speaking? b....
3. High school students are faced with taking the ACT or the SAT tests to measure...
3. High school students are faced with taking the ACT or the SAT tests to measure their readiness to start college. Quantitative SAT scores have a mean of 1509 and a standard deviation of 312 while quantitative ACT scores have a mean of 21.1 and a standard deviation of 5.    a. A student takes the ACT and receives a score of 35 while another takes the SAT and receives a score of 2202. Which student has scored higher relatively...
Scores by women on the SAT-1 test are normally distributed with a mean of 988 and...
Scores by women on the SAT-1 test are normally distributed with a mean of 988 and a standard deviation of 202. Scores by women on the ACT test are normally distributed with a mean of 20.9 and a standard deviation of 4.6. If a women gets a SAT score that is the 77th percentile, find her actual SAT score and her equivalent ACT score.
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT