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4. The test grades in some class follow a normal distribution (we will call it...
Student grades in a sufficiently large class tend to follow a normal distribution. Suppose the final...
Student grades in a sufficiently large class tend to follow a normal distribution. Suppose the final exam of a class follows a normal distribution with a mean of 75 and a standard deviation of 7.5. Select a score of 95 and specify its z-score based on this distribution. When calculating the z-score, include the steps leading to the workings. That way, any mistakes can be quickly seen and corrected. Use the chosen raw score (95) and the calculated z-score to...
Assume that class grades follow a normal distribution of mean μ = 75 and the variance...
Assume that class grades follow a normal distribution of mean μ = 75 and the variance σ2 =144. a) Find the probability that an individual's grade is greater than 81. b) What should be the interquartile range? c)Suppose you select at random (and independently) 10 students. What is the probability that only two of these students have a grade greater than 75? d) If you draw a sample of size n = 10 from the population of grades described in...
It is assumed that the test results for a class follow a normal distribution with a...
It is assumed that the test results for a class follow a normal distribution with a mean of 78 and a standard deviation of 36. If you know that a student's grade is greater than 72, what is the probability that it is greater than 84?
An analysis of the final test scores in this class shows that the scores follow the...
An analysis of the final test scores in this class shows that the scores follow the normal distribution. The mean of the distribution is 85 and the standard deviation is 6. The professor wants to award an A student whose score is in the highest 11% which means 89% of the class will have lower grades. What is the cut-off point (or score) for those students who earn an A versus those that earn a B? In other words, what...
It is assumed that the test results for a class follow a normal distribution with a...
It is assumed that the test results for a class follow a normal distribution with a mean of 78 and a standard deviation of 36. If you know that a student's grade is greater than 72, what is the probability that it is greater than 84? What do I know? What do I want to find out? What do we expect the answer to be? How do I go from what I know to what I want to find? Is...
show all steps, thanks 3.2.21. A professor in a large statistics class has a grading policy...
show all steps, thanks
3.2.21. A professor in a large statistics class has a grading policy such that only the 15% of the students with the highest scores will receive the grade A. The mean score for this class is 72 with a standard deviation of 6. Assuming that all the grades for this class follow a normal probability distribution, what is the minimum score that a student in this class has to get to receive an A grade?
3. Exam grades across all students across all sections of an introductory statistics class are approximately...
3. Exam grades across all students across all sections of an introductory statistics class are approximately normally distributed with a mean of 72 and a standard deviation of 11. Use the normal distribution to find answer the following questions. a. What percent of students scored above a 90%? b. What percent scored below 60%? c. If the lowest 5% of students will be required to attend an extra study session, what grade is the cutoff for being required to attend...
Example 3 The scores on a midterm exam follow a normal distribution with an average of...
Example 3 The scores on a midterm exam follow a normal distribution with an average of 80.4% and a standard deviation of 10.9%. Let X represent the score of a given student on this midterm exam. 1. What is the probability that a randomly selected student scores above a 90%? 2. What is the probability that a randomly selected student scores between 80% and 90%? 3. What is the 60th percentile score for this midterm exam?
Write a program to calculate students’ average test scores and their grades. You may assume the...
Write a program to calculate students’ average test scores and their grades. You may assume the following data: Johnson 85 83 77 91 76 Aniston 80 90 95 93 48 Cooper 78 81 11 90 73 Gupta 92 83 30 69 87 Blair 23 45 96 38 59 Clark 60 85 45 39 67 Kennedy 77 31 52 74 83 Bronson 93 94 89 77 97 Sunny 79 85 28 93 82 Smith 85 72 49 75 63 Use three...
Write a program to calculate students’ average test scores and their grades. You may assume the...
Write a program to calculate students’ average test scores and their grades. You may assume the following data: Johnson 85 83 77 91 76 Aniston 80 90 95 93 48 Cooper 78 81 11 90 73 Gupta 92 83 30 69 87 Blair 23 45 96 38 59 Clark 60 85 45 39 67 Kennedy 77 31 52 74 83 Bronson 93 94 89 77 97 Sunny 79 85 28 93 82 Smith 85 72 49 75 63 Use three...
show all steps, thanks
3.2.21. A professor in a large statistics class has a grading policy such that only the 15% of the students with the highest scores will receive the grade A. The mean score for this class is 72 with a standard deviation of 6. Assuming that all the grades for this class follow a normal probability distribution, what is the minimum score that a student in this class has to get to receive an A grade?
Example 3 The scores on a midterm exam follow a normal distribution with an average of 80.4% and a standard deviation of 10.9%. Let X represent the score of a given student on this midterm exam. 1. What is the probability that a randomly selected student scores above a 90%? 2. What is the probability that a randomly selected student scores between 80% and 90%? 3. What is the 60th percentile score for this midterm exam?
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