ZuoTi.Pro
Question

Suppose that composite scores on the ACT test for the school graduating class in a certain...

Suppose that composite scores on the ACT test for the school graduating class in a certain year had a mean of 24.2 and a standard deviation of 4.6. In all, 1,823,241 students in this class took the test, and of these, 6,947 had scores higher than 36.4 and 2,404 had scores exactly 36.4. ACT scores are always whole numbers, but the Normal N(24.2, 4.6) distribution can include any value, not just whole numbers. What is more, there is no area exactly above 36.4 under the smooth Normal curve, so ACT scores can only be approximately Normal. To illustrate this fact find: The proportion of ACT scores greater than 36.4 using the actual counts reported. (Enter your answer as a proportion rounded to four decimal places)

math   Statistics-And-Probability   
0 0
Add a comment Improve this question Transcribed image text
Next > < Previous
Sort answers by oldest

Homework Answers

Answer #1

The proportion of ACT scores greater than 36.4 using the actual counts reported = number of students cores higher than 36.4 / total number of students

number of students cores higher than 36.4 = 6947

total number of students = 1823241

The proportion of ACT scores greater than 36.4 using the actual counts reported = 6947/1823241

The proportion of ACT scores greater than 36.4 using the actual counts reported = 0.0038

0 0
Add a comment
Know the answer?
Add Answer to:
Suppose that composite scores on the ACT test for the school graduating class in a certain...
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. Our experts will answer your question WITHIN MINUTES for Free.
Similar Homework Help Questions

  • Suppose that composite scores on the ACT test for the school graduating class in a certain...

    Suppose that composite scores on the ACT test for the school graduating class in a certain year had a mean of 24.2 and a standard deviation of 4.6. In all, 1,823,241 students in this class took the test, and of these, 6,947 had scores higher than 36.4 and 2,404 had scores exactly 36.4. ACT scores are always whole numbers, but the Normal N(24.2, 4.6) distribution can include any value, not just whole numbers. What is more, there is no area...

  • NOTE: The numerical values in this problem have been modified for testing purposes. Suppose composite scores...

    NOTE: The numerical values in this problem have been modified for testing purposes. Suppose composite scores on the ACT test for the high school graduating class in a certain year had mean 21 and standard deviation 5.2.In al, 1,799,243 students in this class took the test. Of these, 170,777 had scores higher than 28 and another 54,167 had scores exactly 28. ACT scores are always whole numbers. The exactly Normal N(21, 5.2) distribution can include any value, not just whole...

  • The Falcon Academic Success Test (FAST) is a test for determining the likelihood of graduating from...

    The Falcon Academic Success Test (FAST) is a test for determining the likelihood of graduating from UTPB. The FAST scores for students who took the FAST tests are approximately Normal with mean 500 and standard deviation of 200. What proportion of students who to the test this year had a FAST score of 450 or lower? Group of answer choices 0.401 0.375 0.327 0.343 .305

  • The Falcon Academic Success Test (FAST) is a test for determining the likelihood of graduating from...

    The Falcon Academic Success Test (FAST) is a test for determining the likelihood of graduating from UTPB. The FAST scores for students who took the FAST tests are approximately Normal with mean 600 and standard deviation of 200. What proportion of students who to the test this year had a FAST score of 500 or higher? Hint: apply the NORM.DIST function in Excel to answer the question. 0.678 0.691 0.733 0.651 0.718

  • The scores of individual students on the American College Testing (ACT) composite college entrance examination have...

    The scores of individual students on the American College Testing (ACT) composite college entrance examination have a normal distribution with mean 17.3 and standard deviation 5.4. (a) What is the probability that a single student randomly chosen from all those taking the test scores 25 or higher? (b) Now take an SRS of 67 students who took the test. What are the mean and standard deviation of the average (sample mean) score for the 67 students? μ = σ =...

  • Just need part C women on beac× , Google Docs ×,CscoesOnTheACTTX How to Use the ZTabX1+...

    Just need part C women on beac× , Google Docs ×,CscoesOnTheACTTX How to Use the ZTabX1+ , http://webw orkuoregonedu/webwork2/Math243Winter O 90% **. * asearch arted。Amazoncom-Online *Priceline oom Piceline.com Product Support Dell Θ Produa Support Del *Suggested Snes。WebSice Galery Suggested Sites Web Slice Galler 87.8 87.8 At least one of the answers above is NOT cormect (1 point) Scores on the ACT tests for the 2007 high school graduating class had mean 21.2 and standard deviation 5.0. In all 1,300,590 students...

  • WeBWork: Math243WinterX WoA Women on the B Connect-Class: Brewer nt XWomen on the BreadlinesX hntps/webwor oregon...

    WeBWork: Math243WinterX WoA Women on the B Connect-Class: Brewer nt XWomen on the BreadlinesX hntps/webwor oregon edu/ webwork2/Math243Winter%Search https//webwork mazon.com-Online.Priceline.comProduct Support Dell Suggested Sites Picelinecom Prodtuppt Dlsuggested Stes Web Sikce Galley Web Slice Gallery Results for this submission Answer Preview Result 1.46 11.46 15.33 15.33 0.5 incorrect Al least one of the answers above is NOT correct (1 point) Scores on the ACT sts for the 2007 high class took the test. Of these., 149.164 had scores higher than 27...

  • The scores of all applicants taking an aptitude test required by a law school have a...

    The scores of all applicants taking an aptitude test required by a law school have a normal distribution with a mean of 420 and a standard deviation of 100. A random sample of 25 scores is taken. e. The probability is 0.05 that the sample standard deviation of the scores is higher than what number? f. The probability is 0.05 that the sample standard deviation of the scores is lower than what number? g. If a sample of 50 test...

  • 0/2 pts Question 3 On a certain standardized test . The mean is 54 .The standard deviation is 10 .Scores are whole numbers . Connie scored 34 Find numbers a and c such that Connie scored higher than...

    0/2 pts Question 3 On a certain standardized test . The mean is 54 .The standard deviation is 10 .Scores are whole numbers . Connie scored 34 Find numbers a and c such that Connie scored higher than approximately 100-d' (a) percent of people who took the test. Make a continuity correction. What is 100c a? Correct Answer 101.95 0/2 pts Question 3 On a certain standardized test . The mean is 54 .The standard deviation is 10 .Scores are...

  • The ACT is a standardized test that many high school students in the U.S. take in...

    The ACT is a standardized test that many high school students in the U.S. take in order to apply for college (the other major admissions test is the SAT). Scores on the ACT range from 1 to 36 in one point increments. The dean of a college of business is interested in examining the relationship between ACT scores and GPAs of students in the college. After taking a random sample of 141 students, he performs a regression analysis using Excel...

ADVERTISEMENT
Free Homework Help App
Download From Google Play
Scan Your Homework
to Get Instant Free Answers
Need Online Homework Help?
Ask a Question
Get Answers For Free
Most questions answered within 3 hours.
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT