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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Neil scored 67 on his calculus class final and was devastated by his failing grade. His class distribution had a mean of 54 and a standard deviation of 7. Greg was quite proud of his score of 88 for his Spanish language class. His class distribution had a mean of 97 with a standard deviation of 6. Who did better relative to their class?
In a certain test in English, the mean score of a group of 200 students was 56 and the standard deviation was 12. In a test in chemistry, the mean was 68 and the standard deviation was 8. If a student scored 65 in English and 75 in chemistry, in which test did she perform better?
Alice was told that her reading test score was one standard deviation below to me if test scores were approximately normal with m= 86 and standard deviation= 4. What was Alice's score?
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.
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?
There are two national college-entrance examinations, the scholastic aptitude test (SAT) and the American College Testing program (ACT). Scores on the SATs are approximately normal with mean 500 and standard deviation 100. Scores on the ACTs are approximately normal with mean 18 and standard deviation 6. Use the links provided for the Normal (Links to an external site.)calculator and the Inverse Normal (Links to an external site.) calculator to help complete the problems, you do not need to do any work out by hand. (instructions on how to use these calculators can be found in the week 5 star on the home page) a) What percent of all SAT scores are above 600? b) Which is the greater accomplishment, scoring 630 on the SAT or 22 on the ACT ? Explain your reasoning for your choice. c) How high a score in the SAT is needed to place in the top 2.5%.
If the grades of 100 students have mean 18 and standard deviation 4. If we subtract 3 from each student, then we divide by -2. The new standard deviation is Select one: O a. 2 O b. 4 O c. -2 O d. -4
Greg is in his first semester at a university and is taking a calculus course with a large enrollment. He just took the first midterm exam and is nervous about his score. Among all the students in the course, the mean of the exam was 65 with a standard deviation of 8. Greg scored a 85.on this exam. Find the z-score of Greg's exam score relative to the exam scores among all the students in the course. Round your answer to two decimal places.
= 19 inches. Pyramid Lake is on the Paiute Indian Reservation in Nevada. The lake is famous for cutthroat trout. Suppose a friend tells you that the average length of trout caught in Pyramid Lake is u However, a survey reported that of a random sample of 51 fish caught, the mean length was x 18.6 inches, with estimated standard deviation s = 3.3 inches. Do these data indicate that the average length of a trout caught in Pyramid Lake is less than μ = 19 inches? Use a = 0.05. = (a) What is the level of significance? State the null and alternate hypotheses. O Ho: μ = 19 in; H₁: μ ‡ 19 in Ho: μ> 19 in; H₁: μ = 19 in O Ho: μ 19 in O Ho: μ = 19 in; H₁: μ 0.010 O 0.0010 < P-value < 0.010 O 0.250 < P-value < 0.0010 0.125 < P-value < 0.250 O P-value < 0.125 Sketch the sampling distribution and show the area corresponding to the P-value.
Assume that adults have IQ scores that are normally distributed with a mean of 100 and a standard deviation of 15. Find P40, which is the IQ score separating the bottom 40% from the top 60%. Round your answer to nearest tenth.
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.)

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