Students across the U.S. take the ACT test, which has scores
that are normally distributed with a mean of 21 with a standard
deviation of 5. If 250 students are randomly selected, what is the
probability that at least 15 of them will score a 29 or
better?
A small college has an entering freshmen class of 600 students. Of these, 240 have brought their own personal computers to campus. A random sample of 110 entering freshmen was taken. What is the probability that the sample proportion of freshman students who brought their own personal computers to campus is between .42 and .46?
please answer both of them.
Solution
Students across the U.S. take the ACT test, which has scores that are normally distributed with a mean of 21 with a standard deviation of 5.
A small college has an entering freshmen class of 600 students. Of these, 240 have brought their own personal computers to campus. A random sample of 110 entering freshmen was taken.
Students across the U.S. take the ACT test, which has scores that are normally distributed with...
A small college has an entering freshmen class of 600 students. Of these, 240 have brought their own personal computers to campus. A random sample of 110 entering freshmen was taken. What is the probability that the sample proportion of freshman students who brought their own personal computers to campus is between .42 and .46?
It is reported that the ACT scores of freshman students at NMSU is approximately Normally distributed, with mean of 20.5 and standard deviation of 5.1. (1) (3pts) If the university decides to offer a scholarship to the top 2% of students, how high does a student need to score on ACT test to qualify for that scholarship? (No points will be given without proper steps) (2) (3pts) A math class has 20 freshmen enrolled. If we assume the 20 freshmen...
please help thank you in advance It is reported that the ACT scores of freshman students at NMSU is approximately Normally distributed, with mean of 21.1 and standard deviation of 4.5. (1) (3pts) If the university decides to offer a scholarship to the top 3% of students, how high does a student need to score on ACT test to qualify for that scholarship? (No points will be given without proper steps) (2)(3pts) A math class has 30 freshmen enrolled. If...
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...
The ACT is a standardized test that many high school students in the U.S. take in order to apply for college (the other major admissions test is the SAT). Scores on the ACT range from 1 to 36 in one point increments. The dean of a college of business is interested in examining the relationship between ACT scores and GPAs of students in the college. After taking a random sample of 141 students, he performs a regression analysis using Excel...
Problem 11 The scores for the science reasoning portion of the ACT test are normally distributed. In a recent year, the mean test score was 20.9 and the standard deviation was 5.2. The test scores of four students selected at random are 17, 29, 8, and 23. a) Find the z-score that corresponds to each value. b) Determine if any of the test values are unusual. Explain.
The IQ scores of college students are normally distributed with the mean of 120 and standard deviation of 10. If a random sample of 25 students is taken, what is the probability that the mean of this sample will be between 120 and 125. (49.38%)
This year the test scores of all students in a college algebra course is normally distributed with a mean of 75 and a standard deviation of 10. Only the best 5% of the students will receive an A. What is the minimum score a student must obtain to get an A?
the scores on a certain test are normally distributed with a mean score of 65 and a standard deviation of 2. what is the probability that a sample of 90 students will have a mean score of at least 65.2108.
The scores on a certain test are normally distributed with a mean score of 53 and a standard deviation of 2. What is the probability that a sample of 90 students will have a mean score of at least 53.2108? 0.8413 0.3174 0.3413 0.1587