The combined SAT scores for the students at a local high school are normally distributed with a mean of 1524 and a standard deviation of 305. The local college includes a minimum score of 1555 in its admission requirements. What percentage of students from this school earn scores that fail to satisfy the admission requirement? P(X < 1555) = % Enter your answer as a percent accurate to 1 decimal place (do not enter the "%" sign). Answers obtained using exact z- scores or z-scores rounded to 3 decimal places are accepted.

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

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?

A large number of applicants for admission to graduate study in business are given an aptitude test. Scores are normally distributed with a mean of 460 and standard deviation of 80. What fraction of the applicants would you expect to have a score of 350 or above?

Ten year old girls, the Mean is 54.4, the standard deviation 2.7, 95 percentile in height. How tall is she.