In a recent year, the ACT scores for high school students with a 3.50 to 4.00 grade point average were normally distributed, with a mean of 25.7 and a standard deviation of 3.3. a) If a state university automatically admits the top 7% of students, what is the least score that a student can receive and still be admitted? b) In this same university, a student becomes ineligible for admission if he/she scores in the bottom 12%. What is the minimum score that a student needs to be eligible for admission? c) Find the probability that a randomly chosen high school student has an ACT score between 23 and 29.1.

In a recent year, the ACT scores for high school students with a 3.50 to 4.00 grade point average were normally distributed, with a mean of 25.7 and a standard deviation of 3.3. a) If a state university automatically admits the top 7% of students, what is the least score that a student can receive and still be admitted? b) In this same university, a student becomes ineligible for admission if he/she scores in the bottom 12%. What is the minimum score that a student needs to be eligible for admission? c) Find the probability that a randomly chosen high school student has an ACT score between 23 and 29.1.

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

See similar textbooks

Similar questions

A student scored 66 on a general science test where the class mean and standard deviation were 82 and 8, respectively; he also scored 53 on a psychology test where the class mean and standard deviation were 58 and 3, respectively. In which class was his relative position higher?
The question is attached in an image.
1. According to one study, the average hours of sleep on a weeknight for men was 6.9 hours with a standard deviation of 1.5 hours. a. Find the proportion of men who sleep for more than 8 hours per night. b. Find the proportion of men who sleep for less than 6 hours per night. c. Find the proportion of men who sleep between 6-8 hours per night. d. Find the number of hours that represents the 90th percentile.
John finds that there is a scholarship available to all persons scoring in the top 5 % on the ACT test. If the mean score on the ACT is 21 with a standard deviation of 4.7, what score does he need in order to qualify for the scholarship?
Do students ever make up information for an assignment? You be the judge. Students in an applied psychology class were sent out to be observer 100 cars and report how many of the drivers wear wearing seat belts. Each student reported the number of drivers he or she saw wearing seat belts as his or her score. The mean for the class was 65, with the standard deviation of 7. One student, who had a reputation for not doing his assignments, reported seeing 42 belted drivers. Assuming the student actually counted, use the normal curve table to determine the probability that he observed 42 or fewer seat belt users. Based on this probability, do you suspect he made up the numbers rather than actually counting?
Two students were informed that they received standard z-scores of 0.9 and -0.5, respectively on a multiple-choice examination in Science. If their grades were 95 and 60, respectively, find the mean and standard deviation of the examination grades.
1) According to Consumer Expenditures, the average consumer spent $1729 on apparel and services in 2017. In 2018, a random sample of 36 consumers had a mean of $1667.11 and a standard deviation of $351.69. Can it be said that at the 5% level of significance that the mean level of consumption differed in 2018 with respect to 2017?
A successful basketball player has a height of 6 feet 11 inches, or 211 cm. Based on statistics from a data set, his height converts to the z score of 5.17. How many standard deviations is his height above the mean?
The board of examiners that administers the real estate broker’s examination in a certain state found that the mean score on the test was 450 and the standard deviation was 50. If the board wants to set the passing scores so that only the top 5% of all applicants pass, what should the passing score be? Assume that the scores are normally distributed.
The board of examiners that administers the real estate broker's examination in a certain state found that the mean score on the test was 494 and the standard deviation was 72. If the board wants to set the passing score so that only the best 10% of all applicants pass, what is the passing score? Assume that the scores are normally distributed. Round to the nearest whole number.
2) A psychology teacher decided to fail 12% of her class of 40 students. The exam results of the class were roughly normally distributed with a mean of 74 and a standard deviation of 7. A. What score must a student get in order to pass? B. How many students would get a score between 77 and 85?
A recent report indicated a typical family spend $650 per month on food. Assume the distribution of food expenditures for a family of five follows a normal distribution, with mean of $650 and standard deviation of $120. A sample of 64 is taken. a) What percentage of the families spends more than $675 per month on food? b) What percentage of the families spends less than $660 per month on food? c) What percentage of the families spends between $660 and $670 per month on food? d) What percentage of the families spends less than $650 or more than $675 per month on