1. Suppose the scores for high school seniors on the verbal portion of the SAT test...
1. Suppose the scores for high school seniors on the verbal portion of the SAT test have a population mean of 509 and a population standard deviation of 112.
a. List the population and the variable.
b. What do you know about the population distribution of SAT scores for high school seniors? (i.e. shape, center, spread)
c. Suppose we randomly select 56 high school seniors from this population. What would you expect the shape, mean and standard deviation of the sampling distribution of the sample means to be?
d. If one student is randomly selected find the probability that his score is greater than 590. Can this probability be found? If so, find
it. If not, explain why it cannot be found
e. If 16 of the students are randomly selected, find the probability that their mean score is greater than 590. Can this probability be found? If so, find it. If not, explain why it cannot be found.
f. If 56 students are randomly selected, find the probability that their mean score is greater than 590. Can this probability be found? If so, find it. If not, explain why it cannot be found
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1. Suppose the scores for high school seniors on the verbal
portion of the SAT test...
High school seniors' SAT scores are normally distributed with μ = 1050 and σ = 100
2.) High school seniors' SAT scores are normally distributed with μ = 1050 and σ = 100. If a student is selected at random, find the probability that her SAT score is: a.) above 1200 b.) below 890 c.) between 1000 and 1100 d.) What SAT score separates the smartest 4% of students? e). If 18 seniors are selected, find the probability that their mean SAT score is above 1150 3.) A survey of 200 college students revealed that 160 of them eat dessert...
(1 point) Scores for men on the verbal portion of the SAT-I test are normally distributed...
(1 point) Scores for men on the verbal portion of the SAT-I test are normally distributed with a mean of 509 and a standard deviation of 112. (a) If 1 man is randomly selected, find the probability that his score is at least 582.5. (b) If 12 men are randomly selected, find the probability that their mean score is at least 582.5. 12 randomly selected men were given a review course before taking the SAT test. If their mean score...
(1 point) Scores for men on the verbal portion of the SAT-I test are normally distributed...
(1 point) Scores for men on the verbal portion of the SAT-I test are normally distributed with a mean of 509 and a standard deviation of 112. (a) If 1 man is randomly selected, find the probability that his score is at least 576.5. (b) If 16 men are randomly selected, find the probability that their mean score is at least 576.5. 16 randomly selected men were given a review course before taking the SAT test. If their mean score...
Scores for the verbal portion of the SAT-I test are normally distributed with a mean of...
Scores for the verbal portion of the SAT-I test are normally distributed with a mean of 509 and a standard deviation of 112. Randomly selected men are given the Columbia Review Course before taking the SAT test. Assume that the course has no effect. a) If 16 students are randomly selected, find the sample mean and the sample standard deviation.
4. You want to estimate the mean SATM score for 250,000 high school seniors in California. Only a...
4. You want to estimate the mean SATM score for 250,000 high school seniors in California. Only about 45% of California students take the SAT. These self-selected students are planning to attend college and are not representative of all California seniors A simple random sample (SRS) of 500 California high school seniors is tested. The mean score of the sample is Y 461. What could you say about the mean score, n-508 in the population of all 250,000 seniors? Assume...
If the SAT scores of students in a high school follow the normal distribution with mean...
If the SAT scores of students in a high school follow the normal distribution with mean = 1200 and standard deviation = 100, what is the probability that a randomly selected student's score is between 1000 and 1400? OA 0.9973 B. 0.9545 OC. 0.9999 OD. 0.6827 Reset Selection
An SRS of 380 high school seniors gained an average of i -23.51 points in their...
An SRS of 380 high school seniors gained an average of i -23.51 points in their second attempt at the SAT Mathematics exam. Assume that the change in score has a Normal distribution with standard deviation σ 48.51, we want to estimate the mean change in score u in the population of all high school seniors. (a) Using the 68-95-99.7 Rule or the z-table (Table A), give a 95% confidence interval (a, b) for based on this sample. Enter your...
You want to estimate the mean SATM score for 250,000 high school seniors in California. Only abou...
You want to estimate the mean SATM score for 250,000 high school seniors in California. Only about 45% of California students take the SAT. These self-selected students are planning to attend college and are not representative of all California seniors. A simple random sample (SRS) of 500 California high school seniors is tested. The mean score of the sample is Y = 461 What could you say about the mean score, η = 508 in the population of all 250,000...
4. Twenty five high school students complete a preparation program for taking the SAT test. Here...
4. Twenty five high school students complete a preparation program for taking the SAT test. Here are the SAT scores from the 25 students who completed the SAT prep program: 434 694 457 534 720 400 484 478 610 641 425 636 454 514 563 370 499 640 501 625 612 471 598 509 531 The mean of these scores is 536.00. We know that the population average for SAT scores is 500 with a standard deviation of 100. The...
The scores of students on the SAT college entrance examinations at a certain high school had...
The scores of students on the SAT college entrance examinations at a certain high school had a normal distribution with mean μ=556.6 and standard deviation σ=27.7.(a) What is the probability that a single student randomly chosen from all those taking the test scores 562 or higher?For parts (b) through (d), consider a simple random sample (SRS) of 35 students who took the test.(b) What are the mean and standard deviation of the sample mean score x̅x̅, of 35 students?The mean...
(1 point) Scores for men on the verbal portion of the SAT-I test are normally distributed with a mean of 509 and a standard deviation of 112. (a) If 1 man is randomly selected, find the probability that his score is at least 582.5. (b) If 12 men are randomly selected, find the probability that their mean score is at least 582.5. 12 randomly selected men were given a review course before taking the SAT test. If their mean score...
(1 point) Scores for men on the verbal portion of the SAT-I test are normally distributed with a mean of 509 and a standard deviation of 112. (a) If 1 man is randomly selected, find the probability that his score is at least 576.5. (b) If 16 men are randomly selected, find the probability that their mean score is at least 576.5. 16 randomly selected men were given a review course before taking the SAT test. If their mean score...
4. You want to estimate the mean SATM score for 250,000 high school seniors in California. Only about 45% of California students take the SAT. These self-selected students are planning to attend college and are not representative of all California seniors A simple random sample (SRS) of 500 California high school seniors is tested. The mean score of the sample is Y 461. What could you say about the mean score, n-508 in the population of all 250,000 seniors? Assume...
If the SAT scores of students in a high school follow the normal distribution with mean = 1200 and standard deviation = 100, what is the probability that a randomly selected student's score is between 1000 and 1400? OA 0.9973 B. 0.9545 OC. 0.9999 OD. 0.6827 Reset Selection
An SRS of 380 high school seniors gained an average of i -23.51 points in their second attempt at the SAT Mathematics exam. Assume that the change in score has a Normal distribution with standard deviation σ 48.51, we want to estimate the mean change in score u in the population of all high school seniors. (a) Using the 68-95-99.7 Rule or the z-table (Table A), give a 95% confidence interval (a, b) for based on this sample. Enter your...
You want to estimate the mean SATM score for 250,000 high school seniors in California. Only about 45% of California students take the SAT. These self-selected students are planning to attend college and are not representative of all California seniors. A simple random sample (SRS) of 500 California high school seniors is tested. The mean score of the sample is Y = 461 What could you say about the mean score, η = 508 in the population of all 250,000...
4. Twenty five high school students complete a preparation program for taking the SAT test. Here are the SAT scores from the 25 students who completed the SAT prep program: 434 694 457 534 720 400 484 478 610 641 425 636 454 514 563 370 499 640 501 625 612 471 598 509 531 The mean of these scores is 536.00. We know that the population average for SAT scores is 500 with a standard deviation of 100. The...
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