A quality control engineer studied the relationship between years of experience as a system control engineer and the capacity of the engineer to complete within a given time a complex control design including the debugging of all computer programs and control devices. A group of 25 engineers having widely differing amounts of experience (measured in months of experience) was given the same control design project. The results of the study are given in the following table with y = 1 if the project was successfully completed in the allocated time and y = 0 if the project was not successfully completed. a. Determine whether experience is associated with the probability of completingthe task. b. Compute the probability of successfully completing the task for an engineer having 24 months of experience. Place a 95% confidence interval on your estimate.

Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter14: Counting And Probability
Section14.1: Counting
Problem 27E
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A quality control engineer studied the relationship between years of experience as a system control engineer and the capacity of the engineer to complete within a given time a complex control design including the debugging of all computer programs and control devices. A group of 25 engineers having widely differing amounts of experience (measured in months of experience) was given the same control design project. The results of the study are given in the following table with y = 1 if the project was successfully completed in the allocated time and y = 0 if the project was not successfully completed.

a. Determine whether experience is associated with the probability of completingthe task.

b. Compute the probability of successfully completing the task for an engineer having 24 months of experience. Place a 95% confidence interval on your estimate.

Months of
Experience
2
245
4
6
7
8
8
9
10
10
11
12
13
Project Success
0
0
0
0
0
1
1
0
0
0
1
1
0
Months of
Experience
15
16
17
19
20
22
1235858
24
27
30
Project Success
1
1
1
1
0
1
1
1
0
1
Transcribed Image Text:Months of Experience 2 245 4 6 7 8 8 9 10 10 11 12 13 Project Success 0 0 0 0 0 1 1 0 0 0 1 1 0 Months of Experience 15 16 17 19 20 22 1235858 24 27 30 Project Success 1 1 1 1 0 1 1 1 0 1
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