# 1. The scores of students on the ACT college entrance examination in a recent year had a normal distribution with a mean of 18.6 and a standard deviation of 5.9. A simple random sample of 60 students who took the

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### AP Statistics - sampling distribution help

The composite scores of students on the ACT college entrance examination in a recent year had a Normal distribution with mean µ = 20.4 and standard deviation = 5.8. 1) What is the probability that a randomly chosen student scored 24 or higher on the ACT? 2) What are the mean ...

### AP Statistics - Sampling Distribution Help

The composite scores of students on the ACT college entrance examination in a recent year had a Normal distribution with mean µ = 20.4 and standard deviation = 5.8. 1) What is the probability that a randomly chosen student scored 24 or higher on the ACT? 2) What are the mean ...

### AP

The composite scores of students on the ACT college entrance examination in a recent year had a Normal distribution with mean µ = 20.4 and standard deviation = 5.8. 1) What is the probability that a randomly chosen student scored 24 or higher on the ACT? 2) What are the mean ...

### statistics

The scores of students on the ACT college entrance examination in a recent year had a normal distribution with a mean of 18.6 and a standard deviation of 5.9. A simple random sample of 50 students who took the exam is selected for study: A) What is the shape, mean, and ...

### Statistics

1. The scores of students on the ACT college entrance examination in a recent year had a normal distribution with a mean of 18.6 and a standard deviation of 5.9. A simple random sample of 60 students who took the exam is selected for study: a) What is the shape, mean(expected ...

### statistics

Scores on a certain nationwide college entrance examination follow a normal distribution with a mean of 400 and a standard deviation of 100. Find the probability that a student will score over 500.

### Algebra

Over 350 students took a college calculus final exam. the scores of the students follow a normal distribution. using the information given below, determine the mean and the standard deviation for the students'scores. Give your answers to the nearest tenth of a percent. 1. 32% ...

### Foundations of Measurement

Approximately 400,000 students took the GRE in 2009. Observed mean for the Verbal score was 540 with a standard deviation of 80, and the observed mean quantitative score was 500 with a standard deviation of 100. Assuming distribution was normal, answer the following: How many ...

### Math

2500 students take a college entrance exam. The scores on the exam have an approximate normal distribution with mean u = 52 points and a standard deviation o = 11 points. Estimate the percentage of students scoring 52 points or more. ^ How would you do this?

### math

Statistics: Analyze student exam scores Students were given an exam with 300 multiple choice questions. The distribution of the scores were normal and the mean was 195 with a standard deviation of 30. you may find it helpful to draw out this distribution before answering the ...

### statistics

The Survey of Study Habits and Attitudes (SSHA) is a psychological test that measures students' study habits and attitudes toward school. Scores range from 0 to 200. The mean score for college students is about 115.8, and the standard deviation is about 32.9. A teacher ...

### statistics

Scores on the ACT college entrance exam are Normally distributed with a mean µ = 20 and standard deviation σ = 5. An SRS of 25 ACT scores is selected, construct a 95% Confidence Interval for the sample mean (X-Bar) and interpret your result.

### probability

The National Center for Educational Statistics reported that in 2009 the ACT college placement and admission examination were normally distributed and had a mean of 21.1 and standard deviation of 5.1. A college requires applicants to have an ACT score in the top 20% of all ...

### statistics

Suppose scores on the mathematics section of the SAT follow a normal distribution with mean 540 and standard deviation 120. ACT math scores are normally distributed with a mean of 18 and a standard deviation of 8. What score on the ACT is equivalent to a score of 750 on the SAT

### statistics

The Survey of Study Habits and Attitudes (SSHA) is a psychological test that measures students' study habits and attitudes toward school. Scores range from 0 to 200. The mean score for college students is about 115.8, and the standard deviation is about 32.9. A teacher ...

### statistics

Suppose scores on the mathematics section of the SAT follow a normal distribution with mean 540 and standard deviation 120. ACT math scores are normally distributed with a mean of 18 and a standard deviation of 8. What score on the ACT is equivalent to a score of 750 on the ...

### math

Students were given an exam with 300 multiple-choice questions. The distribution of the scores was normal and mean was 195 with a standard deviation of 30. You may find it helpful to draw out this distribution before answering the questions below What were the scores of the ...

### stats help!

thank you in advance! in a given year the college admissions office accepts applicants from students, who are then either accepted or not accepted. accepted students may or may not decide to attend college. suppose the scores on a certain entrance exam for applicants of murphy...

### Stastics

When we convert x-value to z- score and use Standard Normal distribution, which of the following statements is true? a) The mean of z-score is zero and standard deviation of the z-scores is the same as the standard deviation of original data b) The mean and standard deviation ...

### Statistics

2. In a given year the Murphy College admissions office accepts applications from students, who are then either accepted or not-accepted. Accepted students may or may not decide to attend Murphy College. Suppose the scores on a certain entrance exam for applicants of Murphy ...

### Statistics

Students were given an exam with 300 multiple-choice questions. The distribution of the scores was normal and mean was 195 with a standard deviation of 30. What were the scores of the students who were within one standard deviation of the mean? What percent of students did ...

### Statistics

The distribution of IQ scores is a nonstandard normal distribution with a mean of 100 and a standard deviation of 15. What are the value of the mean and standard deviation after all IQ score have been standardized by converting them to z scores?

### stats

(a) The test had six multiple-choice items that were scored as correct or incorrect, so the total score was an integer between 0 and 6. Do you think that these data are Normally distributed? Explain why or why not. The distribution is Normal because the standard deviation is ...

### stats

(a) The test had six multiple-choice items that were scored as correct or incorrect, so the total score was an integer between 0 and 6. Do you think that these data are Normally distributed? Explain why or why not. The distribution is Normal because the standard deviation is ...

### statistics

2. Why is it important to know the mean and standard deviation for a data set when applying the empirical rule? 3. If we are focused on 68% of the normal distribution, what percentage of the distribution is left in the upper tail only? 4. What value separates the 50% of the ...

### MATH

Which of the following normal distributions has the smallest spread? A. A normal distribution with mean 1 and standard deviation 3 B. A normal distribution with mean 0 and standard deviation 2 C. A normal distribution with mean 3 and standard deviation 2 D. A normal ...

### stats

Suppose the mass of college students can be modeled by the normal distribution. We believe the mean of the normal distribution is 72 kg. We randomly sample 18 students and find an average of 69 kg and a standard deviation of 4kg. A. The standard error of óx is 0.9428 B. A t-...

### Research

The Average Score in the entrance examination in MSHS is 80 with a standard deviation of 40 students was taken from this year’s examinees and it was found to have a mean score of 84. Is there a significant difference between the known mean and the sample mean? Test at a= 0....

### stats.

The GMAT test is required for admission to most graduate programs in business. In a recent year, the GMAT test scores were normally distributed with a mean of 550 and standard deviation of 100. A. Find the first quartile for the distribution of GMAT scores. B. Find the median ...

### math

Suppose that a college admissions office needs to compare scores of students who take the Scholastic Aptitude test(SAT) wit those who take the american college test (ACT). Suppose that among the college's applicants who take the SAT, scores have a mean of 896, and a standard ...

### distribution

In a school, the IQ scores of the students have a normal distribution with a mean value of 100, and a standard deviation of 10. What is the probability that the IQ score of a randomly selected student is at least 120? (10 p)

### statistics

a test has a mean score 73 with standard deviation of 12.students with scores greater than 85 receive an A. What is the percent of the students would we expect to get an A? assume the normal distribution

### Statistics

Each year, thousands of college seniors take the Graduate Record Examination (GRE). Assume the scores are transformed so they have a mean of 600 and a standard deviation of 150. Furthermore, the scores are known to be normally distributed. Determine the percentage of students ...

### Statistics for Development

one hundred students seat for a mathematics examination.the scores from this examination are normaly distributed with a population mean of 65% and a standard deviation of (a=10).what is the probability that students score;(i)less than 75% (ii)at least85% (iii)between 60% and 75%

### Statistics (Math)

A government report looked at the amount borrowed for college by students who graduated in 2000 and had taken out student loans. The mean amount was = $ 17 , 776 and the standard deviation was s = $12,034. The quartiles were Q 1 = $9900, M = $15,532, and Q 3 = $22,500. The ...

### statistics

A state administered standardized reading exam is given to eighth grade students. The scores on this exam for all students statewide have a normal distribution with a mean of 506 and a standard deviation of 69. A local Junior High principal has decided to give an award to any ...

### stats please help ASAP!!!

A. The GPAs of all 5540 students enrolled at a University have an approximately normal distribution with a mean of 3.02 and a standard deviation of 0.29. Let x be the mean GPA of a random sample of 48 students selected from this University. Find the mean and standard deviation...

### statistics

what are the mean and standard deviation of a sampling distribution consisting of samples of size 16? these sameples were drawn from a population whose mean is 25 and who standard deviation is 5. a. 25 and 1.25 b. 5 and 5 c. 25 and 5 d. 5 and 1.25 e. 25 and square root of 5 ...

### Math

I have a problem on standard deviation, and I will need some help with it. Problem: Each professor in an English class give an A to students scoring above 90 and a F to those scoring below 60. Professor 1 has a normal distribution with a mean of 74 and standard deviation 7 ...

### statistics

Every year thousands of students take the SAT'S. RECENT TRENDS SHOW THAT THE SCORES ON THE VERBAL SECTION FOLLOW AN APPROX. NORMAL DISTRIBUTION WITH MEAN 550 AND STANDARD DEVIATION OF 110 68.26% OF THE STUDENTS WHO TAKE THE SAT VERBAL SCORE BETWEEN ______ AND _____ 95.44% OF ...

### math

Students were given an exam with 300 multiple-choice questions. The distribution of the scores was normal and mean was 195 with a standard deviation of 30. What was the score of students who scored in the middle of the class? (50% did better, 50% did worse).

### math

Students were given an exam with 300 multiple-choice questions. The distribution of the scores was normal and mean was 195 with a standard deviation of 30. What was the score of students who scored in the middle of the class? (50% did better, 50% did worse).

### Math

For the most recent year available, the mean annual cost to attend a private university in the United States was $20,082. Assume the distribution of annual costs follows the normal probability distribution and the standard deviation is $4,500. Ninety-five percent of all ...

### Statistics

I am not sure how to even get started on this question could someone help please. A college advisor wants to estimate the mean annual income of all college students who graduated last year. It is believed that the incomes follow a normal distribution with population standard ...

### stats

To estimate the mean score of those who took the Medical College Admission Test on your campus, you will obtain the scores of an SRS of students. From published information you know that the scores are approximately Normal with standard deviation about 6.4. You want your ...

### statisitcs

The combined math and verbal scores for students taking a national standardized examination for college admission is normally distributed with a mean of 560 and a standard deviation of 180. If a college requires a student to be in the top 40 % of students taking this test, ...

### statistics

1) A scale measuring prejudice has been administered to a large sample of respondents. The distribution of scores is approximately normal with a mean of 31 and a standard deviation of 5. What percentage of sample had scores below 20?

### Math (Statistic)

Considered the sampling distribution of a sample mean obtained by random sampling from an infinite population. This population has a distribution that is highly skewed toward the larger values. a) How is the mean of the sampling distribution related to the mean of the ...

### statistics

4. The scores on a university examination are normally distributed with a mean of 62 and a standard deviation of 11. If the bottom 5% of students will fail the examination, what is the lowest score, to the nearest whole number, that a student can have and pass?

### Essentials of statistics

A populations of scores forms a normal distribution with a mean of 40 and a standard deviation of 12 what is the probability of selecting a sample of n=9 scores with a mean less than m=34

### math

A sample of 64 statistics students at a small college had a mean mathematics ACT score of 28 with a standard deviation of 4. Estimate the mean mathematics ACT score for all statistics students at this college. Give the 95% confidence interval.

### Math

A sample of 64 statistics students at a small college had a mean mathematics ACT score of 28 with a standard deviation of 4. Estimate the mean mathematics ACT score for all statistics students at this college. Give the 95% confidence interval.

### Math

A sample of 64 statistics students at a small college had a mean mathematics ACT score of 28 with a standard deviation of 4. Estimate the mean mathematics ACT score for all statistics students at this college. Give the 95% confidence interval.

### math

A sample of 64 statistics students at a small college had a mean mathematics ACT score of 28 with standard deviation of 4. Estimate the mean mathematics ACT score for all statistics students at college. Give the 95% confidence interval.

### college

1. Which of the following statements are correct? a. A normal distribution is any distribution that is not unusual. b. The graph of a normal distribution is bell-shaped. c. If a population has a normal distribution, the mean and the median are not equal. d. The graph of a ...

### statistics

A normal distribution has a mean of 20 and a standard deviation of 2. If you convert every score in the distribution to Z scores, which of the following statements would be true of the resulting distribution?

### Math

I need help with this these two problem PLEASE!!! For a population with a mean of μ 80 and a standard deviation of 12, find the z-score corresponding to each of the following samples. a. M 83 for a sample of n 4 scores b. M 83 for a sample of n 16 scores c. ...

### statistics

1. On final examination in Business Law, the mean was 68 and the standard deviation was 12. Determine the standard scores of students receiving marks of 50?

### Statistics

A class survey in a large class for first-year college students asked, "About how many minutes do you study on a typical weeknight?" The mean response of the 463 students was x = 118 minutes. Suppose that we know that the study time follows a Normal distribution with standard ...

### Statistics

The standard deviation of GPAs (grade point averages) of all male students at a college is .35 and the standard deviation of GPAs of all female students at the same college is .34. Suppose we take one sample of 40 male students and another sample of 50 female students from ...

### statistics

A large group of students has taken a college entrance exam. The scores on the exam are such that the mean = 52 and the standard deviation = 11 Find the probability that a student, selected at random, earned a score lower than 63.

### math

hi i need help calculating the standard error using the central limit theorem. *a population of scores contains exactly 5 scores : 2, 3, 6, 8, 11, there are 5x5=25 samples of the two scores (n=2)* i already calculated the standard deviation and mean. for the question my ...

### Statistics

hi i need help calculating the standard error using the central limit theorem. *a population of scores contains exactly 5 scores : 2, 3, 6, 8, 11, there are 5x5=25 samples of the two scores (n=2)* i already calculated the standard deviation and mean. for the question my ...

### Statistic

According to the CDC, 25 % of college students get the flu every year. (a) If 7 college students are selected at random? What is the probability that exactly 6 of them have the flu? (b) What is the mean and standard deviation for this distribution?

### stat

for randomly selected adults, IQ scores are normally distributed with a standard deviation of 15. the scores of 14 randomly selected college students are listed below. use a 0.10 significance level to test the claim that the standard deviation of IQ scores of college students ...

### statistics

For a normal distribution with a mean of 140 and a standard deviation of 55 find each value requested. a. What is the minimum score needed to be in the bottom 10% of the distribution? b. What scores form the boundaries for the middle 75% of the distribution.

### Math

The combined math and verbal scores for students taking a national standardized examination for college admission, is normally distributed with a mean of 620 and a standard deviation of 220. If a college requires a student to be in the top 10 % of students taking this test, ...

### Math

Suppose that scores on the Math SAT exam follow a Normal distribution with mean 500 and standard deviation 100. Two students that have taken the exam are selected at random. What is the probability that the sum of their scores exceeds 1200?

### psychology

In a normal distribution, what percentage of scores will fall between one standard deviation below the mean and one standard deviation above the mean?

### statistics

Suppose that on a certain examination in advanced mathematics, students from University A achieve scores which are normally distributed with a mean of 625 and a variance of 100, and that students from University B achieve scores which are normally distributed with a mean of ...

### statistics

every year thousands of students take the SAT'S. Recent trends show that the scores on the verbal section follow an approx. normal distribution with mean of 350 and stand. deviation of 110 A)a student is chosen at random. it is noted that only 8% of students have scored higher...

### Statistics

Scores on a mathematics examination appear to follow a normal distribution with mean of 65 and standard deviation of 15. The instructor wishes to give a grade of “C” to students scoring between the 60th and 70th percentiles on the exam. What score represents the 60th ...

### Statistics

Scores on a mathematics examination appear to follow a normal distribution with mean of 65 and standard deviation of 15. The instructor wishes to give a grade of “C” to students scoring between the 60th and 70th percentiles on the exam. What score represents the 60th ...

### statistics

A state administered standardized reading exam is given to eighth grade students. The scores on this exam for all students statewide have a normal distribution with a mean of 507 and a standard deviation of 60. A local Junior High principal has decided to give an award to any ...

### Statistics

For a normal distribution with a mean of m = 80 and a standard deviation of s = 20, find the proportion of the population corresponding to each of the following scores. a. Scores greater than 85 b. Scores less than 100 c. Scores between 70 and 90 I believe this is the correct ...

### statistics

A college student takes a standardized test and scores a 163. If the mean is 155 and the standard deviation is 7, what is the student’s percentile rank? (Assume a normal distribution.)

### math

A college student takes a standardized test and scores a 163. If the mean is 155 and the standard deviation is 7, what is the student’s percentile rank? (Assume a normal distribution.)

### college

Essentials of statistics is the subject and the question is: The population of IQ scores forms a normal distribution with a mean of u=100 and a standard deviation of sigma=15. What is the probability of obtaining a sample mean greater than M=105 for a random sample of n=36 ...

### Math

A district mathematics test for third-graders had a normal distribution with a mean of 74 and a standard deviation of 11. What percentage of students scored between 63 and 85?

### math

A class survey in a large class for first-year college students asked, “About how many minutes do you study on a typical weeknight?” The mean response of the 463 students was = 118 minutes. Suppose that we know that the study time follows a Normal distribution with ...

### college sttistics

I have read all my material regarding how to try and figure out how to use Chebyshev Theorem. I even email my teacher and to no avail, I need your help in how to work this problem out step by step. A nationwide test taken by high school sophomores and juniors has three ...

### Statistics - Is it from Normal Distribution

I think I know how to answer the following question IF I assume that the distribution is normal - however, since the question doesn't say that it comes from a normal distribution - should I proceed differently? Question reads: The mean IQ among members of a club is 118 with a ...

### college

Suppose that, for a certain exam, a teacher grades on a curve. It is known that the grades follow a normal distribution with a mean of 70 and a standard deviation of 7. There are 45 students in the class. How many students should receive an A? Please, round your answer to the ...

### Analytical Skills

If your score on a statistics exam was 76 and the professor gave you the distribution for the exam score for your class, you could find your percentile to understand where you stand in comparison to your fellow students. Assume that the distribution for exam scores is normally...

### Statistics

1. Which of the following statements are correct? a. A normal distribution is any distribution that is not unusual. b. The graph of a normal distribution is bell-shaped. c. If a population has a normal distribution, the mean and the median are not equal. d. The graph of a ...

### statistics/normal distribution

Find the area of the shaded region.The graph to the right depicts IQ scores of Adults (85-120), and those scores are normally distributed with a mean of 100 and a standard deviation of 15

### statistics

Can someone please explain to me the procedures for getting an answer to the questions. Step by step would be great since I'm very confused. I know it's probably simple. * Numerous studies have demonstrated that listening to music while studying can improve memory. To ...

### statistics

Scores on a test have a mean of 66 and Q3 of 81. The scores have a distribution that is approximately normal. Find the standard deviation. Round your answer to the nearest tenth.

### Algebra

Scores on a test have a mean of 66 and Q3 is 80. The scores have a distribution that is approximately normal. Find the standard deviation. Round your answer to the nearest tenth. 10.5 18.7 20.9 9.4

### Statistics

IF SAT scores have approximately a normal distribution with the mean being 550 and standard deviation of 90. How can I calculate the SAT scores of the 95th percentile? Thank you

### statistics

An SRS of size n is taken from a large population whose distribution of income is extremely right-skewed and the mean income is calculated. Which of the following statements is false? a) When n > 30, the sampling distribution of is approximately normal. b) When n increases...

### Stat

An SRS of size n is taken from a large population whose distribution of income is extremely right-skewed and the mean income is calculated. Which of the following statements is false? a) When n > 30, the sampling distribution of is approximately normal. b) When n increases...

### statistics

If a distribution of IQ test scores has a mean of 100 and a standard deviation of 16, what would be the result if we first subtract the mean (100) from each score, and then divide each of those resulting scores by the standard deviation (16)?

### stats

scores on a university examination are normally distributed with a mean of 68 and standard deviation of 9. What percetnage of students scores above 77? The answer is 16% according to the professor that is correct. But I don't understand how the professor got to that answer.

### Statistics

In Professor White’s statistics course the correlation between the students’ total scores before the final examination and their final examination scores is r = 0.9. The pre-exam totals for all students in the course have mean 275 and standard deviation 50. The final exam ...

### statistics

The grades on the final examination given in a large organic chemistry class are normally distributed with a mean of 72 and a standard deviation of 8. The instructor of this class wants to assign an “A” grade to the top 10% of the scores, a “B” grade to the next 10% of...

### statistics

The average (arithmetic mean) of a normal distribution of a school's test scores is 65, and standard deviation of the distribution is 6.5. A student scoring a 78 on the exam is in what percentile of the school?

### statistics

A normal distribution has a mean of 36 and standard deviation of 4. What proportion of the distribution consisted of scores between x=34 and x=38? a, 0.6915 b, 2(0.3085)=0.6170 c, 0.1915 d, 2(0.1915)=0.3930

### Stats

A normal distribution has a mean of 120 and a standard deviation of 20. What score separates the top 40% of the scores from the rest?