**SAT Scores and College Admission Requirements**The combined SAT scores for the students at a local high school follow a normal distribution with a mean (average) score of 1524 and a standard deviation of 305. The local college requires a minimum SAT score of 1555 for admission.**Question:**What percentage of students from this school do not meet the college’s admission requirement?$ P(X < 1555) = $ ______ %**Instructions:**Please provide your answer as a percentage, accurate to one decimal place (do not include the "%" sign). You may use exact scores or z-scores rounded to three decimal places for accuracy.

Suppose the random variable X defines the SAT score of a student.

Answered: The combined SAT scores for the…

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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A mandatory competency test for high school sophomores has a normal distribution with a mean of 410 and a standard deviation of 104. Round the final answers to the nearest whole number and intermediate z-value calculations to 2 decimal places. The top 2% of students receive $500. What is the minimum score you would need to receive this award?
The distances golf balls travel under laboratory testing conditions are normally distributed. The mean is 313 yards. The probability the golf ball travels further than 322 yards is 0.13. Find the probability a randomly selected golf ball travels between 304 yards and 322 yards. Express the answer as a decimal value rounded to the nearest hundredth.
the mean is 146, and standard deviation is 35. A score of 181 is how many z-scores above the mean?
Use z scores to compare the given values. The tallest living man at one time had a height of 233 cm. The shortest living man at that time had a height of 89.9 cm. Heights of men at that time had a mean of 176.34 cm and a standard deviation of 5.47 cm. Which of these two men had the height that was more extreme? Since the z score for the tallest man is z= height that was more extreme. (Round to two decimal places.) and the z score for the shortest man is z = the man had the
is 6% is your standard deviation?
Each students in a local school district write a national examination. The average on this year national exam is 150 with a standard deviation of 20. Schools where the overall average is between 1.5 and 3.0 standard deviations above the mean are eligible for additional funding. What is the average range a school must achieve to be eligible for funding?
On the SAT, the average Writing score is 490 points and the average Math score is 547 points. The standard deviation is 89 points on each part of the test. Now suppose 61 test takes are selected. 14% of the time the sample average Math score should be less than what? (Round to four decimals)
The average age of senators in the 108th Congress was 62 years. If the standard deviation was 12.5 years, find the z-scores corresponding to the oldest and youngest senators of age 86 and 46. Round z scores to two decimal places.
A standardized exam's scores are normally distributed. In a recent year, the mean test score was 1549 and the standard deviation was 318. The test scores of four students selected at random are 1960,1270, 2250, and 1450. Find the z-scores that correspond to each value and determine whether any of the values are unusual.
Use z scores to compare the given values. The tallest living man at one time had a height of 225 cm. The shortest living man at that time had a height of 104.3 cm. Heights of men at that time had a mean of 173.55 cm and a standard deviation of 5.15 cm. Which of these two men had the height that was more extreme? Since the z score for the tallest man is z= and the z score for the shortest man is z= the V man had the height that was more extreme. (Round to two decimal places.)
The mean is 146 and the standard deviation is 35. A score of 41 is how many z-scores below the mean?
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