The marks in a university statistics course are normally distributed with a mean of 68% and a standard deviation of 6%.
Sketch the normal distribution for the course. Label the scale on the horizontal axis.
Calculate the z-score for a student with a mark of 79%, and explain what it means.
Calculate the probabilities for a student to have the following grades:
(i) Greater than 60% (ii) Between 70% and 80%
2. The mid tirm grades had a course mean of 80% and a standard deviation of 6%. Mrs. Lohan wishes to bell curve the mean to 84% with a standard deviation of 10%. If you received a mark of 85%, what is your new mark?
3. The heights of students of Woodlands Summer School have a mean of 148 cm with a standard deviation of 10cm. In what range of heights would you have to be in to be in the middle 80% of heights (meaning 10% above, 10% below)
The marks in a university statistics course are normally distributed with a mean of 68% and...
A set of final examination grades in an introductory statistics course is normally distributed, with a mean of 73 and a standard deviation of 7. Complete parts (a) through (d). a. What is the probability that a student scored below 86 on this exam? (Round to four decimal places as needed.) b. What is the probability that a student scored between 66 and 93? (Round to four decimal places as needed.) c. The probability is 55% that a student taking...
A professor of statistics noticed that the marks in his course are normally distributed. He also noticed that his morning classes average 75% with a standard deviation of 13% on their final exams. His afternoon classes average 76% with a standard deviation of 12%. A. What is the probability that a randomly selected student in the morning class has a higher final exam mark than a randomly selected student from an afternoon class? Probability = .4761 B. What is the...
The marks on a statistics mid-semester exam are normally distributed with a mean of 78 and a standard deviation of 6. a What proportion of the class has a mid- semester mark of less than 75? b What is the probability that a class of 50 has an average mid-semester mark that is less than 75?
examination grades in an introductory statistics course is normally distributed, with a mean of 75 and a standard deviation of 7. Complete parts (a) through (d) a. What is the probablity that a student scored below 87 on this exam? The probability that a shudent scored below 87 is (Round to four decimal places as needed.) b What is the probability that a student scored between 68 and 94 The probability that a student soored between 68 and 94 is...
A set of final examination grades in an introductory statistics course is normally distributed, with a mean of 78 and a standard deviation of 8. What is the probability that a student scored between 70 and 99? The probability that a student scored between 70 and 99 is =?
The following scores represent the final examination grades for an elementary statistics course: 23 60 79 32 57 74 52 70 82 36 80 77 81 95 41 65 92 85 55 76 52 10 64 75 78 25 80 98 81 67 41 71 83 54 64 72 88 62 74 43 60 78 89 76 84 48 84 90 15 79 34 67 17 82 69 74 63 80 85 61 Calculate: Stem and leaf Relative frequency histogram Cumulative frequency Sample Mean Sample Median Mode Variance Standard deviation
A set of final examinations grades in an introductory statistics course is normally distributed, with a mean of 75 and a standard deviation of 7. Complete parts (a) through (d). a.) What is the probability that a student scored below 87 on this exam? b.) What is the probability that a student scored between 68 and 90? c.) The probability is 25% that a student taking the test scores higher than what grade? d.) If the professor grades on a...
02 The following scores represent the final examination grades for an elementary statistics course: 23 60 79 32 57 74 52 70 82 36 80 77 81 95 41 65 92 85 55 76 52 10 64 75 78 25 80 98 81 67 41 71 83 54 64 72 88 62 74 43 60 78 89 76 84 48 84 90 15 79 34 67 17 82 69 74 63 80 85 61 Calculate: . Stem and leaf ....
A set of final examination grades in an introductory statistics course is normally distributed, with a mean of 75 and a standard deviation of 8. Complete parts (a) through (d). a. What is the probability that a student scored below 88 on this exam? The probability that a student scored below 88 is 0.94790.9479. (Round to four decimal places as needed.) b. What is the probability that a student scored between 67 and 94? The probability that a student scored...
The final exam scores of students taking a statistics course are normally distributed with a population mean of 72 and a population standard deviation of 8. If a student taking this statistics course is randomly selected, what is the probability that his/her final exam score is between 60 and 84? A .4332 .9332 C .8664 .1336 Submit Answer