Suppose that, for a certain mathematics class, the scores are normally distributed with a mean of 75 and a standard deviation of 9. The teacher wishes to give A's to the top 5% of the studentsand F's to the bottom 5%. The next 15% in either direction will be given B's and D's, with the other students receiving C's. Find the bottom cutoff for receiving an A grade. (You may need to usethe standard normal distribution table. Round your answer to the nearest whole number.)

Answered: Suppose that, for a certain mathematics…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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The systolic blood pressure of adults in the USA is nearly normally distributed with a mean of 117 and standard deviation of 15 .Someone qualifies as having Stage 2 high blood pressure if their systolic blood pressure is 160 or higher. d. What two values divide this normal curve into a middle 97%, in other words, what two values represent the middle 97% of blood pressures? Put the lower number FIRST! and mmHg e. How many standard deviations away would a blood pressure of 140 be? f. Would this be considered unusual? Not Unusual Very Unusual Somewhat Unusual
Use z scores to compare the given values. The tallest living man at one time had a height of 248 cm. The shortest living man at that time had a height of 59.8 cm. Heights of men at that time had a mean of 177.61 cm and a standard deviation of 7.48 cm. Which of these two men had the height that was more extreme? and the z score for the shortest man is z = the man had the height that was more extreme. Since the z score for the tallest man is z = (Round to two decimal places.)
Note: The standard deviation is defined as the average distance of the class scores from the mean. Note: The variance is defined as average squared distance of the class scores from the mean. Sameer's score in a quiz was 25 and he was five standard deviations above the mean in this quiz. The mean was 20. The average squared distance of the scores from the mean in this quiz is: Select one: a. -3 b. 2 c. 3 d. -2 e. 1 f. -1
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.)
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?
Laura and learn that her GPA average in her school is a 3.6 with a standard deviation of 0.3. if her gpa 3.0 what is her z sxore
One of the z-score formulas will help on this question. Scores on the SAT test are normally distributed with a mean of 500 and standard deviation of 100 points. Pretend someone scored 400 on the math portion of the SAT test. What would be the z-score cut off for this score? A. 1.0 B. -1.0 C. 0 D. 2.0
Suppose you have already calculated the mean, the average deviation, and the standard deviation of the weights in pounds of 20 third-graders. a. if these weights were converted to kilograms and the mean and the average deviation were once again calculated, would the second average deviation be (numerically) less than, greater than, or equal to the first average deviation? Explain your answer. b. If the standard deviation of these weights were calculated in kilograms, would it be (numerically) less than, greater than, or equal to the first standard deviation? Explain your answer
Suppose the scores on your last Algebra 2 test were normally distributed, with a mean of 81% and a standard deviation of 3%. To show you how you compared to your classmates, the teacher did not record your grades as per- centages, instead, she wrote them as z-scores. You look at your paper and see "2.66" written at the top. What was your score as a percentage? Explain how you determined your answer.
There are two major tests of readiness for college, the ACT and the SAT. ACT scores are reported on a scale from 1 to 36. The distribution of ACT scores is approximately Normal with mean = 21.5 and standard deviation = 5.4. SAT Scores are reported on a scale from 600 to 2400. The distribution of SAT scores is approximately Normal with mean = 1498 and standard deviation = 316. (b) Joshua scores 17 on the ACT. Anthony scores 1030 on the SAT. Assuming both tests measure the same thing, who has the higher score? Report both z-scores. (c) What is the purpose of finding the z-scores for both the ACT and SAT scores?
In some reports, the mean and coefficient of variation are given. For instance, one report gives the average number of physician visits by males per year. The average reported is 2.6, and the reported coefficient of variation is 2.3%. Use this information to determine the standard deviation of the annual number of visits to physicians made by males. (Round your answer to three decimal places.)
Suppose that the mean and standard deviation for vertical jump scores are 40 and 6 cm respectively. A York student jumps 52 cm on the vertical score. Translate the student’s jump into a z-score.

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