An engineering professor wants to determine which subject engineering students find most difficult among statistics, physics, and chemistry. She obtains the final exam grades for four students who took all three courses last semester and who were in the same sections of each class. The results are presented in the following table. Student Course 3 4 Statistics 82 94 78 70 Physics Chemistry 75 70 81 83 93 82 80 70 The professor proposes a randomized complete block design, with the students as the blocks. Give a reason that this is likely not to be appropriate. Describe the features of the data in the preceding table that suggest that the assumptions of the randomized complete block design are violated. b. 2.

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An engineering professor wants to determine which subject engineering students find most
difficult among statistics, physics, and chemistry. She obtains the final exam grades for four
students who took all three courses last semester and who were in the same sections of each
class. The results are presented in the following table.
Student
Course
3
4
Statistics
82
94
78
70
Physics
Chemistry
75
70
81
83
93
82
80
70
The professor proposes a randomized complete block design, with the students as the
blocks. Give a reason that this is likely not to be appropriate.
Describe the features of the data in the preceding table that suggest that the
assumptions of the randomized complete block design are violated.
b.
2.
Transcribed Image Text:An engineering professor wants to determine which subject engineering students find most difficult among statistics, physics, and chemistry. She obtains the final exam grades for four students who took all three courses last semester and who were in the same sections of each class. The results are presented in the following table. Student Course 3 4 Statistics 82 94 78 70 Physics Chemistry 75 70 81 83 93 82 80 70 The professor proposes a randomized complete block design, with the students as the blocks. Give a reason that this is likely not to be appropriate. Describe the features of the data in the preceding table that suggest that the assumptions of the randomized complete block design are violated. b. 2.
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