(a) In 2000, the scores of students taking SATs were normally distributed with mean 1019 and standard deviation 209. (i) What percent of all students had the SAT scores of at least 820? [3 marks] (ii) What percent of all students had the SAT scores between 720 and 820? [3 marks] (iii) How high must a student score in order to place in the top 20% of all students taking the SAT? [4 marks]
i)
ii)
iii) Z-score of top 20% is
Let required score be X
(a) In 2000, the scores of students taking SATs were normally distributed with mean 1019 and...
can someome explain how to do the problem 1.106 and 1.108 please and thanks 7 re) > 1.77 (d)-2.25 - 1.77 1.106 ) Find the number such that the proportion of observations that are less than in a standard Normal distribution is 0.8. (b) Find the number z such that 35% of all observations from a standard Normal distribution are greater than z. 1.107 NCAA rules for athletes. The National Collegiate Athletic Association (NCAA) requires Division I athletes to score...
The combined SAT scores for the students at a local high school are normally distributed with a mean of 1530 and a standard deviation of 296. The local college includes a minimum score of 820 in its admission requirements. What percentage of students from this school earn scores that satisfy the admission requirement? P(X > 820) = % Enter your answer as a percent accurate to 1 decimal place (do not enter the "%" sign). Answers obtained using exact z-scores or...
The combined SAT scores for students taking the SAT-I test are normally distributed with a mean of 982 and a standard deviation of 192. Explain specifically why we could use the Central Limit Theorem to find the probability that a randomly selected sample of 9 students who took the SAT-I has a mean score between 800-1150 even though the same size is less than 30
the combined SAT scores for the students at a local high school are normally distributed with a mean of 1466 The combined SAT scores for the students at a local high school are normally distributed with a mean of 1450 and a standard deviation of 302. The local college includes a minimum score of 2265 in its admission requirements. What percentage of students from this school earn scores that satisfy the admission requirement? P(X> 2265) Enter your answer as a...
The combineD SAT scores for students taking the SAT-I are normally distributed with a mean of equals 982 and a standard deviation of equals 192 how large of a sample would need to be taken to reduce the standard deviation of the sample mean to 24 give the exact sample size
The combined SAT scores for the students at a local high school are normally distributed with a mean of 1453 and a standard deviation of 297. The local college includes a minimum score of 651 in its admission requirements. What percentage of students from this school earn scores that fail to satisfy the admission requirement? P(X < 651) = % Enter your answer as a percent accurate to 1 decimal place (do not enter the "%" sign). Answers obtained using...
The combined SAT scores for the students at a local high school are normally distributed with a mean of 1517 and a standard deviation of 307. The local college includes a minimum score of 1179 in its admission requirements. What percentage of students from this school earn scores that satisfy the admission requirement? P(X > 1179) = % Enter your answer as a percent accurate to 1 decimal place (do not enter the "%" sign). Answers obtained using exact z-scores...
Problem 3: Scores on an exam are assumed to be normally distributed with mean /u = 75 and variance a2 = 25 (1) What is the probability that a person taking the examination scores higher than 70? (2) Suppose that students scoring in the top 10.03% of this distribution are to receive an A grade. What is the minimum score a student must achieve to earn an A grade? (3) What must be the cutoff point for passing the examination...
The combined SAT scores for the students at a local high school are normally distributed with a mean of 1546 and a standard deviation of 296. The local college includes a minimum score of 954 in its admission requirements. What percentage of students from this school earn scores that satisfy the admission requirement? P(X > 954) = % Enter your answer as a percent accurate to 1 decimal place (do not enter the "%" sign). Please provide a step-by-step so I...
The final exam scores of students taking a statistics course are normally distributed with a population mean of 72 and a population standard deviation of 8. If a student taking this statistics course is randomly selected, what is the probability that his/her final exam score is between 60 and 84? A .4332 .9332 C .8664 .1336 Submit Answer