The College Board National Office recently reported that in 2011–2012, the 547,038 high school juniors who...
The College Board National Office recently reported that in 2011–2012, the 547,038 high school juniors who took the ACT achieved a mean score of 520 with a standard deviation of 124 on the mathematics portion of the test (http://media.collegeboard.com/digitalServices/pdf/research/2013/TotalGroup-2013.pdf). Assume these test scores are normally distributed. A) What is the probability that a high school junior who takes the test will score at least 600 on the mathematics portion of the test? If required, round your answer to four decimal places. P (x ≥ 600) = B) What is the probability that a high school junior who takes the test will score no higher than 470 on the mathematics portion of the test? If required, round your answer to four decimal places. P (x ≤ 470) = C)What is the probability that a high school junior who takes the test will score between 470 and 550 on the mathematics portion of the test? If required, round your answer to four decimal places. P (470 ≤ x ≤ 550) = D) How high does a student have to score to be in the top 10% of high school juniors on the mathematics portion of the test? If required, round your answer to the nearest whole number.
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The College Board National Office recently reported that in
2011–2012, the 547,038 high school juniors who...
At a local high school, the juniors and seniors compete to see who has a better...
At a local high school, the juniors and seniors compete to see who has a better average on a statistics test. Ten randomly selected junior had an average of 38.0 points with a standard deviation of 2.9 and 14 randomly selected seniors had an average of 31.2 points with a standard deviation of 6.2. Assume both populations follow a normal distribution We want to perform a test to see if on average juniors perform better on the test. a. Define...
4. At a local high school, the juniors and seniors compete to see who has a...
4. At a local high school, the juniors and seniors compete to see who has a better average on a statistics test. Ten randomly selected junior had an average of 38.0 points with a standard deviation of 2.9 and 14 randomly selected seniors had an average of 31.2 points with a standard deviation of 6.2. Assume both populations follow a normal distribution. We want to perform a test to see if on average juniors perform better on the test. You...
(3.08) In 2013, when she was a high school senior, Idonna scored 670 on the mathematics...
(3.08) In 2013, when she was a high school senior, Idonna scored 670 on the mathematics part of the SAT. The distribution of SAT math scores in 2013 was Normal with mean 514 and standard deviation 118. Jonathan took the ACT and scored 26 on the mathematics portion. ACT math scores for 2013 were Normally distributed with mean 20.9 and standard deviation 5.3 Step 1: What is Idonna's standardized score? Round your answer to 2 decimal places Step 2: What...
The College Board reported the following mean scores for the three parts of the SAT (The...
The College Board reported the following mean scores for the three parts of the SAT (The World Almanac, 2009): Critical Reading 502 Mathematics 515 Writing 494 Assume that the population standard deviation on each part of the test is σ = 100. What is the probability a sample of 90 test takers will provide a sample mean test score within 10 points of the population mean of 502 on the Critical Reading part of the test? (Round to four decimal...
The College Board reported the following mean scores for the three parts of the SAT (The...
The College Board reported the following mean scores for the three parts of the SAT (The World Aimanac, 2009): Excel File: data07-21.xls Critical Reading Mathematics Writing 502 515 494 Assume that the population standard deviation on each part of the test is ?-100. a. What is the probability that a random sample of 90 test takers will provide a sample mean test score within 10 points of the population mean of 502 on the Critical Reading part of the test?...
A popular, nationwide standardized test taken by high-school juniors and seniors may or may not m...
A popular, nationwide standardized test taken by high-school juniors and seniors may or may not measure academic potential, but we can nonetheless exarmiune the relationship between scores on thos test and peroracen measure academie potental. but We have chosen a random sample of fifteen students just finishing their first year of college, and for each student we've recorded her score on this standardized test (from 400 to 1600) and her grade point average (from 0 to 4) for her first...
The Scholastic Aptitude Test (SAT) scores in mathematics at a certain high school are normally distributed,...
The Scholastic Aptitude Test (SAT) scores in mathematics at a certain high school are normally distributed, with a mean of 450 and a standard deviation of 100. What is the probability that an individual chosen at random has the following scores? (Round your answers to four decimal places.) (a) greater than 650 (b) less than 250 (c) between 500 and 550
In a recent year, the scores for the reading portion of a test were normally distributed,...
In a recent year, the scores for the reading portion of a test were normally distributed, with a mean of 20.2 and a standard deviation of 5.4. Complete parts (a) through (d) below. (a) Find the probability that a randomly selected high school student who took the reading portion of the test has a score that is less than 16. The probability of a student scoring less than 16 is . (Round to four decimal places as needed.) (b) Find...
In a survey of 180 females who recently completed high school, 75% were enrolled in college....
In a survey of 180 females who recently completed high school, 75% were enrolled in college. In a survey of 160 males who recently completed high school, 65% were enrolled in college. At a =0.06, can you reject the claim that there is no difference in the proportion of college enrollees between the two groups? Assume the random samples are independent. Complete parts (a) through (@). (a) Identify the claim and state Ho and Ha. The claim is "the proportion...
In a survey of 180 females who recently completed high school, 75% were enrolled in college....
In a survey of 180 females who recently completed high school, 75% were enrolled in college. In a survey of 160 males who recently completed high school, 65% were enrolled in college. Atc=0.06, can you reject the claim that there is no difference in the proportion of college enrollees between the two groups? Assume the random samples are independent. Complete parts (a) through (e) (a) Identify the claim and state Ho and H. The claim is the proportion of female...
At a local high school, the juniors and seniors compete to see who has a better average on a statistics test. Ten randomly selected junior had an average of 38.0 points with a standard deviation of 2.9 and 14 randomly selected seniors had an average of 31.2 points with a standard deviation of 6.2. Assume both populations follow a normal distribution We want to perform a test to see if on average juniors perform better on the test. a. Define...
(3.08) In 2013, when she was a high school senior, Idonna scored 670 on the mathematics part of the SAT. The distribution of SAT math scores in 2013 was Normal with mean 514 and standard deviation 118. Jonathan took the ACT and scored 26 on the mathematics portion. ACT math scores for 2013 were Normally distributed with mean 20.9 and standard deviation 5.3 Step 1: What is Idonna's standardized score? Round your answer to 2 decimal places Step 2: What...
The College Board reported the following mean scores for the three parts of the SAT (The World Aimanac, 2009): Excel File: data07-21.xls Critical Reading Mathematics Writing 502 515 494 Assume that the population standard deviation on each part of the test is ?-100. a. What is the probability that a random sample of 90 test takers will provide a sample mean test score within 10 points of the population mean of 502 on the Critical Reading part of the test?...
A popular, nationwide standardized test taken by high-school juniors and seniors may or may not measure academic potential, but we can nonetheless exarmiune the relationship between scores on thos test and peroracen measure academie potental. but We have chosen a random sample of fifteen students just finishing their first year of college, and for each student we've recorded her score on this standardized test (from 400 to 1600) and her grade point average (from 0 to 4) for her first...
In a recent year, the scores for the reading portion of a test were normally distributed, with a mean of 20.2 and a standard deviation of 5.4. Complete parts (a) through (d) below. (a) Find the probability that a randomly selected high school student who took the reading portion of the test has a score that is less than 16. The probability of a student scoring less than 16 is . (Round to four decimal places as needed.) (b) Find...
In a survey of 180 females who recently completed high school, 75% were enrolled in college. In a survey of 160 males who recently completed high school, 65% were enrolled in college. At a =0.06, can you reject the claim that there is no difference in the proportion of college enrollees between the two groups? Assume the random samples are independent. Complete parts (a) through (@). (a) Identify the claim and state Ho and Ha. The claim is "the proportion...
In a survey of 180 females who recently completed high school, 75% were enrolled in college. In a survey of 160 males who recently completed high school, 65% were enrolled in college. Atc=0.06, can you reject the claim that there is no difference in the proportion of college enrollees between the two groups? Assume the random samples are independent. Complete parts (a) through (e) (a) Identify the claim and state Ho and H. The claim is the proportion of female...
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