Suppose the mathematics SAT scores are normally distributedwith a mean of 500 and a standard deviation of 100, and the ACTscores are normally distributed with a mean of 18 and a standarddeviation of 6. If a school only accepts students with ACT scoresin the top 20 percent, what is the approximate minimum ACTscore that would be acceptable for that school.10261323

Answered: Image /qna-images/answer/83ae77b8-dc40-4226-9561-bdad0d4330ae.jpg

Answered: Suppose the mathematics SAT scores are…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Suppose the scores on a college entrance examination are normally distributed with a mean of 525 and a standard deviation of 110. A certain prestigious university will consider admission only for those applicants whose scores exceed the 95th percentile of the distribution. Find the minimum score an applicant must achieve in order to receive consideration for admission to the university. Round your answer up to the nearest integer.
Suppose a normally distributed set of stock prices with 4100 observations has a mean of 114 and a standard deviation of 16. Use the 68-95-99.7 Rule to determine the number of observations in the data set expected to be between the values 66 and 146. Hint: This problem is asking for how many observations, not the percent. Answer = (Round to the nearest whole observation.)
A community college Math instructor feels that the average age of community college students decreased since they started teaching 25 years ago. Looking up data from the year the instructor started teaching, the mean age of community college students was 24.3 years old, with a population standard deviation of 2.2 years. The Math instructor took a sample of 40 of their current community college students and found that the sample had a mean age of 23.7 years old. Assume the population of ages of community college students is normally distributed and that the population standard deviation has remained the same. Test at the 5% significance level if the mean age of community college students is now less than 24.3 years old. Choose the correct answer from the parenthesis. (i) Hypotheses ?0: ? = ( 0, 2.2, 22.7, 24.3, 25, 40) ______________ . ?1: ? = ( < , > ) ______________ ( 0, 2.2, 22.7, 24.3, 25, 40) ________________ . (ii) Test Statistic ( z/ t )…
Suppose a normally distributed set of data has a mean of 170 and a standard deviation of 16. Use the 68-95-99.7 rule (sometimes called the Empirical rule or the Standard Deviation rule) to determine the percentage of scores in the data set expected to be between the scores 122 and 186. Answer = (Write your answer in decimal form, not percentage form. For example, if your percentage is 99%, enter 0.99, not 99. Keep all decimal places.) Caution: Using tables or Excel for this may produce a wrong answer. Use the 68-95-99.7 rule.
Español Valley College and Elm College are two local colleges. For each college, the distribution of the ages of faculty members is clearly bell-shaped. The ages of faculty members at Valley College have a population mean of 51 years and a standard deviation of 6.3 years. The ages of faculty members at Elm College have a population mean of 56 years and a standard deviation of 4.2 years. Maria is 67 years old and a faculty member at Valley College. Salma is 40 years old and a faculty member at Elm College. (a) Find the z-scores of Maria's age as a faculty member at Valley College and Salma's age as a faculty member at Elm College. Round your answers to two decimal places. z-score of Maria's age: z-score of Salma's age: (b) Relative to her population, who is the older faculty member? Choose the best answer based on the z-scores of the two ages. O Maria O Salma O It is unclear who is the older faculty member relative to her population Explanation 2022 Mc X Terms of Use | Privacy Center |…
Suppose that Jett achieves a score of 1250 on the SAT, and his sister Kate scores 29 on the ACT. The SAT scores are normally distributed with a mean of 1100 and standard deviation of 250. The ACT scores are normally distributed with a mean of about 20 and standard deviation of 5. Who did better, relative to their peers?
The mean IQ of 200,000 current and past University of Manitoba students has been found to be 81.9. The standard deviation was found to be 13.1. The student enrollment at the University of Manitoba in 2016 was 29,987. The minimum IQ to be able to graduate from the University of Winnipeg has been found to be 104. Of the 29,987 students at the University of Manitoba in 2016, how many would be expected to be smart enough to graduate from the University of Winnipeg? Assume a Gaussian distribution.
A community college Math instructor feels that the average age of community college students decreased since they started teaching 25 years ago. Looking up data from the year the instructor started teaching, the mean age of community college students was 24.3 years old, with a population standard deviation of 2.2 years. The Math instructor took a sample of 40 of their current community college students and found that the sample had a mean age of 23.7 years old. Assume the population of ages of community college students is normally distributed and that the population standard deviation has remained the same. Test at the 5% significance level if the mean age of community college students is now less than 24.3 years old. The question is attached.
Imagine that for those who meditate daily, the number of minutes in meditation has mean 35 and standard deviation 10. In a group of 200 such persons, how many are expected to meditate more than 43 minutes per day? Click the icon to view the table of z-scores. Of the 200 persons, approximately will meditate more than 43 minutes per day. (Round to the nearest whole number as needed.)
A pupil in grade 2 jumped 3.2 m for the long jump. The class mean is 2.5 m with a standard deviation of 0.4 m. A pupil in grade 8 at the same school jumped 4.3 m in a class with a mean of 3.4 m and a standard deviation of 0.5 m. Which student should receive the long jump medal for the school track meet?
Researchers measured the data speeds for a particular smartphone carrier at 50 airports. The highest speed measured was 77.8 Mbps. The complete list of 50 data speeds has a mean of x= 16.56 Mbps. And a standard deviation of s= 35.08 Mbps. What is the difference between carriers highest data speed and the mean of all 50 states. How many standard deviations is that?

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