Random Assignment of Professors A study randomly assigned students attending the Air Force Academy to different professors for Calculus I, with equal numbers of students assigned to each professor. Some professors were experienced, and some were relatively inexperienced. Suppose the names of the professors are Peters, Parker, Diaz, Nguyen, and Black. Suppose Diaz and Black are inexperienced and the others are experienced. The researchers reported that the students who had the experienced teachers for Calculus I did better in Calculus II. a. List the equally likely outcomes that could occur for assignment of one student to a professor. b. Suppose the event of interest, event A, is that a teacher is experienced. List the outcomes that make up event A. c. What is the probability that a student will be assigned to an experienced teacher? d. List the outcomes in the complement of event A. Describe this complement in words. e. What is the probability that a student will be assigned to an inexperienced teacher?
Random Assignment of Professors A study randomly assigned students attending the Air Force Academy to different professors for Calculus I, with equal numbers of students assigned to each professor. Some professors were experienced, and some were relatively inexperienced. Suppose the names of the professors are Peters, Parker, Diaz, Nguyen, and Black. Suppose Diaz and Black are inexperienced and the others are experienced. The researchers reported that the students who had the experienced teachers for Calculus I did better in Calculus II. a. List the equally likely outcomes that could occur for assignment of one student to a professor. b. Suppose the event of interest, event A, is that a teacher is experienced. List the outcomes that make up event A. c. What is the probability that a student will be assigned to an experienced teacher? d. List the outcomes in the complement of event A. Describe this complement in words. e. What is the probability that a student will be assigned to an inexperienced teacher?
Solution Summary: The author states the equally likely outcomes in an experiment of assigning a student to one of the five professors for Calculus I.
Random Assignment of Professors A study randomly assigned students attending the Air Force Academy to different professors for Calculus I, with equal numbers of students assigned to each professor. Some professors were experienced, and some were relatively inexperienced. Suppose the names of the professors are Peters, Parker, Diaz, Nguyen, and Black. Suppose Diaz and Black are inexperienced and the others are experienced. The researchers reported that the students who had the experienced teachers for Calculus I did better in Calculus II.
a. List the equally likely outcomes that could occur for assignment of one student to a professor.
b. Suppose the event of interest, event A, is that a teacher is experienced. List the outcomes that
make up event A.
c. What is the probability that a student will be assigned to an experienced teacher?
d. List the outcomes in the complement of event A. Describe this complement in words.
e. What is the probability that a student will be assigned to an inexperienced teacher?
Definition Definition For any random event or experiment, the set that is formed with all the possible outcomes is called a sample space. When any random event takes place that has multiple outcomes, the possible outcomes are grouped together in a set. The sample space can be anything, from a set of vectors to real numbers.
Question 2
The data below provides the battery life of thirty eight (38) motorcycle batteries.
100 83 83 105 110 81 114
99 101 105 78 115 74 96
106
89
94 81 106 91 93 86
79 103 94 108 113 100
117 120
77 93
93 85 76
89 78 88
680
a. Test the hypothesis that mean battery life is greater than 90. Use the 1% level of
significance.
b. Determine if the mean battery life is different from 80. Use the 10% level of
significance. Show all steps for the hypothesis test
c. Would your conlcusion in part (b) change at the 5% level of significance? |
d. Confirm test results in part (b) using JASP. Note: All JASP input files and output
tables should be provided
Suppose that 80% of athletes at a certain college graduate. You randomly select eight athletes. What’s the chance that at most 7 of them graduate?
Suppose that you flip a fair coin four times. What’s the chance of getting at least one head?
University Calculus: Early Transcendentals (4th Edition)
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