Data: The following table summarizes the grades for ten group projects for two g
ID: 3350240 • Letter: D
Question
Data: The following table summarizes the grades for ten group projects for two groups of high school students. Use the information in the table below to answer the following question. Project No. Group 1 Grades Group 2 Grades 1 96.11 99.22 2 87.65 96.44 3 79.66 73.61 4 92.01 86.35 5 98.69 68.51 6 82.05 95.58 7 78.35 96.97 8 88.89 82.56 9 94.94 89.35 10 77.22 86.99 Question 13. What is the mean project grade for Group 1? (3 points) Question 14. What is the mean project grade for Group 2? (3 points) Question 15. What is the standard deviation for the mean project grade for Group 1? (3 points) Question 16. What is the standard deviation for the mean project grade for Group 2? (3 points) Question 17. Which group of students exhibits the least degree of central tendency about the mean value for their project grades? (3 points) Data: A standard deck of playing cards consists of fifty-two cards. The cards in each deck consist of four suits, namely spades (), clubs (), diamonds () and hearts (). Each suit consists of thirteen cards, namely ace, king, queen, jack, 10, 9, 8, 7, 6, 5, 4, 3, and 2. In the game of poker, a royal flush consists of the ace, king, queen, jack, and 10 of the same suit (e.g., ace of spades, king of spades, queen of spades, jack of spades and 10 of spades). Question 18. What is the probability of randomly selecting five cards from a randomly shuffled deck of playing cards that constitute a royal flush, assuming the order in which the cards are selected is irrelevant (i.e., not important) and the suit is irrelevant (i.e., not important)? (4 points) Question 19. What is the probability of randomly selecting five cards from a randomly shuffled deck of playing cards that constitute a royal flush, assuming the cards must be selected in a specific order, namely ace, king, queen, jack and 10, and the suit is irrelevant (i.e., not important)? (4 points) Data: 45 students in two sections of a college Physics 101 course recently took a mid-term exam. 10 students earned an A, 9 students earned a B, 10 students earned a C, 8 students earned a D and 8 students earned an F on the exam. The students were queried regarding the number of hours they had devoted to studying for the exam. 9 of the students who earned an A, 6 of the students who earned a B, 5 of the students who earned a C, 2 of the students who earned a D, and 1 of the students who earned an F reported that they had devoted more than 8 hours to studying for the exam. The remaining students reported that they had devoted no more than 8 hours to studying for the exam. Question 20. What is the probability of a randomly selected student having earned an A on the exam? (3 points) Question 21. What is the probability of a randomly selected student having earned a B on the exam? (3 points) Question 22. What is the probability of a randomly selected student having devoted no more than 8 hours to studying for the exam? (3 points) Question 23. What is the probability of a randomly selected student having earned an A on the exam given they devoted no more than 8 hours to studying for the exam? (3 points) Question 24. What is the probability of a randomly selected student having earned an F on the exam given they devoted more than 8 hours to studying for the exam? (3 points) Question 25. What is the probability of a randomly selected student having earned an A or a B on the exam given they devoted more than 8 hours to studying for the exam? (3 points) Data: Scores for a certain exam follow a normal distribution with a mean of 82.54 and a standard deviation of 3.15. Answer questions 26 and 27 using the preceding information. Question 26. What is the standard Z-score associated with a score of 85.45? (3 points) Question 27. What is the probability that a randomly selected student’s score will fall between a standard Z-score of -1.75 and a standard Z-score of 1.88? (3 points) Data: The mean time required to complete a certain type of construction project is 61 weeks with a standard deviation of 3.95 weeks. Answer questions 28-31 using the preceding information and modeling this situation as a normal distribution. Question 28. What is the probability of the completing the project in no more than 58 weeks? (3 points) Question 29. What is the probability of the completing the project in more than 62 weeks? (3 points) Question 30. What is the probability of completing the project between 58 weeks and 65 weeks? (3 points) Question 31. What is the probability of completing the project within plus or minus one standard deviation of the mean? (3 points)
Explanation / Answer
Q13]
Mean of Group 1 = 87.56
Q14]
Mean of Group 2 = 87.56
Q15]
standard deviation for the mean project grade for Group 1 = 7.87
Q16]
standard deviation for the mean project grade for Group 2 = 10.30
Q17]
CV of group 1 = 8.99
and CV of group 2 = 11.77
Here the least degree of central tendency about the mean value for group 1 is least than group 2.
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