STUDENTS TAKE A STATISTICS TEST. THE GRADE DISTRIBUTION IS NORMAL WITH A MEAN OF 70, AND...
| STUDENTS TAKE A STATISTICS TEST. THE GRADE DISTRIBUTION IS NORMAL WITH A MEAN OF 70, AND A STANDARD DEVIATION OF 6. | |||||||||||||||||||||||||||
| (a) ANYONE WHO SCORES IN THE TOP 20% OF THE DISTRIBUTION GETS A GRADE OF “A” OR “B” WHAT IS THE LOWEST SCORE SOMEONE CAN GET AND STILL GET A “B”? | |||||||||||||||||||||||||||
| (b) THE BOTTOM 20% GET A “D” OR “F”. WHAT IS THE LOWEST SCORE THAT STILL PASSES WITH THE “C” ? | |||||||||||||||||||||||||||
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STUDENTS TAKE A STATISTICS TEST. THE GRADE DISTRIBUTION IS
NORMAL WITH A MEAN OF 70, AND...
QUESTION 1 A normal distribution has a mean of m= 70 with s = 12. If...
QUESTION 1 A normal distribution has a mean of m= 70 with s = 12. If one score is randomly selected from this distribution, what is the probability that the score will be greater than X = 58? ca. 0.8413 cb.0.1577 OC 0.3413 cd.0.6826 QUESTION 2 A normal distribution has a mean of m= 80 with s = 20. What score separates the lowest 30% of the distribution from the rest of the scores? Ca.X 69.6 b. X 50 CCX=...
The scores of an eighth-grade math test have a normal distribution with a mean = 83 and...
The scores of an eighth-grade math test have a normal distribution with a mean = 83 and a standard deviation = 5. If Din’s test score was 92, which expression would she write to find the z-score of her test score?
Each year about 1500 students take the introductory statistics course at a large university. This year...
Each year about 1500 students take the introductory statistics course at a large university. This year scores on the nal exam are distributed with a median of 74 points, a mean of 70 points, and a standard deviation of 10 points. There are no students who scored above 100 (the maximum score attainable on the nal) but a few students scored below 20 points. (a) Is the distribution of scores on this nal exam symmetric, right skewed, or left skewed?...
A mandatory competency test for second-year high school students has a normal distribution with a mean...
A mandatory competency test for second-year high school students has a normal distribution with a mean of 495 and a standard deviation of 91. a) The top 3% of students receive $500. What is the minimum score you would need to receive this award? b) The bottom 5% of students must go to summer school. What is the minimum score you would need to stay out of this group?
The overall grade of a statistics class has a normal distribution with mean of 85.5 and...
The overall grade of a statistics class has a normal distribution with mean of 85.5 and standard deviation of 5.5. The instructor decides letter grades of students so that 5% fails the class. Find the minimum overall grade a student should get so that the student does not fail the class. (keep 1 decimal place)
The midterm scores for undergraduate statistics students were distributed as a normal distribution and they had...
The midterm scores for undergraduate statistics students were distributed as a normal distribution and they had the following statistics: a mean of 88 and a standard deviation of 4. If 2 extra points were added to each student's score, the mean is _____ and the standard deviation is _____. If all scores were increased by 25%, the mean is _____ and the standard deviation is _____.
The results from a statistics class' first exam are as follows: The mean grade obtained by...
The results from a statistics class' first exam are as follows: The mean grade obtained by its 25 students is 83, with a standard deviation of 11. The distribution of grades was unimodal and symmetrical. What is the probability that a student received a grade above 90? The results from a statistics class' first exam are as follows: The mean grade obtained by its 25 students is 83, with a variance of 121. The distribution of grades was unimodal and symmetrical....
3. (4 points) The scores on a test are normally distributed with a mean of 75...
3. (4 points) The scores on a test are normally distributed with a mean of 75 and a standard deviation of 8. a) Find the proportion of students having scores greater than 85. b) If the bottom 3% of students will fail the course, what is the lowest score that a student can have and still be awarded a passing grade? Please round up to the nearest integer.
ACT, Inc., the producer of the ACT test of readiness for college work, also produces tests for 8th and 9th grade students designed to help them to plan for the future. Two of these tests measure read...
ACT, Inc., the producer of the ACT test of readiness for college work, also produces tests for 8th and 9th grade students designed to help them to plan for the future. Two of these tests measure reading and mathematics achievement. Each has scores that range from 1 to 25. For students tested in the fall of their 8th grade year, the reading test has mean 13.9 and standard deviation 3.63. The mean score on the math test is 14.4 and...
The scores on a certain test can be modeled by a normal random variable with mean...
The scores on a certain test can be modeled by a normal random variable with mean μ=77 and standard deviation σ=10. What is the lowest score that a test-taker can achieve and still be in the top 10%? (Round your answer to three decimal places.) Lowest score =
QUESTION 1 A normal distribution has a mean of m= 70 with s = 12. If one score is randomly selected from this distribution, what is the probability that the score will be greater than X = 58? ca. 0.8413 cb.0.1577 OC 0.3413 cd.0.6826 QUESTION 2 A normal distribution has a mean of m= 80 with s = 20. What score separates the lowest 30% of the distribution from the rest of the scores? Ca.X 69.6 b. X 50 CCX=...
3. (4 points) The scores on a test are normally distributed with a mean of 75 and a standard deviation of 8. a) Find the proportion of students having scores greater than 85. b) If the bottom 3% of students will fail the course, what is the lowest score that a student can have and still be awarded a passing grade? Please round up to the nearest integer.
ACT, Inc., the producer of the ACT test of readiness for college work, also produces tests for 8th and 9th grade students designed to help them to plan for the future. Two of these tests measure reading and mathematics achievement. Each has scores that range from 1 to 25. For students tested in the fall of their 8th grade year, the reading test has mean 13.9 and standard deviation 3.63. The mean score on the math test is 14.4 and...
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