3. Tenthousand adults were given a literacy test. The results were nearly normally distributed (μ =...
3. Tenthousand adults were given a literacy test. The results were nearly normally distributed (μ = 75, δ = 15). (20 points)
A. About how many scored between 60 and 80? Show work
B. Approximately what score did only the top 15% exceed? Show work
C. Find the percentile rank of the person who scored 88. Show work
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3. Tenthousand adults were given a literacy test. The results
were nearly normally distributed (μ =...
a.) Test scores are normally distributed with a mean of 60 and a variance of 225....
a.) Test scores are normally distributed with a mean of 60 and a variance of 225. Joe scored at the 90th percentile which means that his score was? b.) Suppose X is normally distributed with mean 4 and standard deviation 4. Find the probability that 2X exceeds 7. c.) Test scores are normally distributed with a mean of 60 and a standard deviation of 15. Joe scored at the 95th percentile which means that his score was d.) a random...
Assume that adults have IQ scores that are normally distributed with a mean of μ=100 and...
Assume that adults have IQ scores that are normally distributed with a mean of μ=100 and a standard deviation σ=15. Find the probability that a randomly selected adult has an IQ between 88 and 112.
The results of a statewide exam for assessing the mathematics skills of realtors were normally distributed...
The results of a statewide exam for assessing the mathematics skills of realtors were normally distributed with a mean score of 68 and a standard deviation of 8. The realtors who scored in the top 15% are to receive a special certificate, while those in the bottom 25% will be required to attend a remedial workshop. What score does a realtor need in order to receive a certificate? What score will dictate that the realtor attend the workshop? a. 75,64...
The systolic blood pressure of adults in a large city is nearly normally distributed with a...
The systolic blood pressure of adults in a large city is nearly normally distributed with a mean of 117 and standard deviation of 19. Someone qualifies as having Stage 2 high blood pressure if their systolic blood pressure is 160 or higher. a. Around what percentage of adults in the USA have stage 2 high blood pressure? Give your answer rounded to two decimal places. % b. If you sampled 2000 people, how many would you expect to have BP>...
Grades on a biology exam are approximately normally distributed with a mean of 78 and a...
Grades on a biology exam are approximately normally distributed with a mean of 78 and a standard deviation of 8. Originally Dr. Smith decides to curve course grades as follows: Students who score above the 90 percentile will receive an A Students whose scores are in the 80-89.percentiles receive a B Students whose scores are in the 70th-795h percentiles receive a C Students whose scores are in the 60-69 percentiles receive a D Students who score below the 60th percentile...
The systolic blood pressure of adults in the USA is nearly normally distributed with a mean...
The systolic blood pressure of adults in the USA is nearly normally distributed with a mean of 121 and standard deviation of 23. Someone qualifies as having Stage 2 high blood pressure if their systolic blood pressure is 160 or higher. a. Around what percentage of adults in the USA have stage 2 high blood pressure? Give your answer rounded to two decimal places. % b. If you sampled 2000 people, how many would you expect to have BP> 160?...
6. In 2007 the scores on the College Aptitude Test (C. A.T.) were distributed normally with...
6. In 2007 the scores on the College Aptitude Test (C. A.T.) were distributed normally with mean 500 and standard deviation 60, briefly N (500, 60). Find the 75th percentile for the CAT. 520.0000 605.4431 458.1174 540.4694 D7 In 2007 the scores on the College Aptitude Test (C. A.T.) were distributed normally with mean 500 and standard deviation 60, briefly N (500, 60). Find the Z score for a CAT score of 450. -.5631 -.8333 .6733 1.0833
The SAT scores of students who took the SAT test in 2010 were normally distributed with...
The SAT scores of students who took the SAT test in 2010 were normally distributed with a mean of 1509 and a standard deviation of 312. What proportion of student scored below 1805 on this SAT? What score is need on this test to be in the top 10% of all test takers?
For adults, intelligence scores are distributed approximately normally with μ = 100 and σ = 15.†...
For adults, intelligence scores are distributed approximately normally with μ = 100 and σ = 15.† In each part of this question, carry out any calculations using two places after the decimal point for z scores and four places after the decimal point for proportions. For each part, be sure to include an appropriate sketch a) What proportion of intelligence scores is lower than 120? b) What proportion of intelligence scores is higher than 128? c) What proportion of intelligence...
Problem 3: Scores on an exam are assumed to be normally distributed with mean /u =...
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 results of a statewide exam for assessing the mathematics skills of realtors were normally distributed with a mean score of 68 and a standard deviation of 8. The realtors who scored in the top 15% are to receive a special certificate, while those in the bottom 25% will be required to attend a remedial workshop. What score does a realtor need in order to receive a certificate? What score will dictate that the realtor attend the workshop? a. 75,64...
The systolic blood pressure of adults in a large city is nearly normally distributed with a mean of 117 and standard deviation of 19. Someone qualifies as having Stage 2 high blood pressure if their systolic blood pressure is 160 or higher. a. Around what percentage of adults in the USA have stage 2 high blood pressure? Give your answer rounded to two decimal places. % b. If you sampled 2000 people, how many would you expect to have BP>...
Grades on a biology exam are approximately normally distributed with a mean of 78 and a standard deviation of 8. Originally Dr. Smith decides to curve course grades as follows: Students who score above the 90 percentile will receive an A Students whose scores are in the 80-89.percentiles receive a B Students whose scores are in the 70th-795h percentiles receive a C Students whose scores are in the 60-69 percentiles receive a D Students who score below the 60th percentile...
The systolic blood pressure of adults in the USA is nearly normally distributed with a mean of 121 and standard deviation of 23. Someone qualifies as having Stage 2 high blood pressure if their systolic blood pressure is 160 or higher. a. Around what percentage of adults in the USA have stage 2 high blood pressure? Give your answer rounded to two decimal places. % b. If you sampled 2000 people, how many would you expect to have BP> 160?...
6. In 2007 the scores on the College Aptitude Test (C. A.T.) were distributed normally with mean 500 and standard deviation 60, briefly N (500, 60). Find the 75th percentile for the CAT. 520.0000 605.4431 458.1174 540.4694 D7 In 2007 the scores on the College Aptitude Test (C. A.T.) were distributed normally with mean 500 and standard deviation 60, briefly N (500, 60). Find the Z score for a CAT score of 450. -.5631 -.8333 .6733 1.0833
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...
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