What is the probability that a sample mean has strength of 68.8 MPa? From the data, obtain an Event 1 by selecting 5 random groups with

Mathematics For Machine Technology
8th Edition
ISBN:9781337798310
Author:Peterson, John.
Publisher:Peterson, John.
Chapter29: Tolerance, Clearance, And Interference
Section: Chapter Questions
Problem 16A: Spacers are manufactured to the mean dimension and tolerance shown in Figure 29-12. An inspector...
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A copper wiring is being tested for its strength (MPa) with N(μ.
O=0.42). Multiple samples have obtained strengths as shown in the data
below.
68.79 69.03 68.49
68.96 69.28 69.20
68.27 68.95
69.66
69.04
69.58
68.23
69.21
68.85 68.53
68.99
68.82
68.58 69.21 68.95
69.22 68.91
69.19
69.14
69.00
69.52 69.14
68.43
68.86 68.86
69.31 69.44 68.90 69.47 69.69 68.60
• What is the probability that a sample mean has strength of 68.8 MPa?
• From the data, obtain an Event 1 by selecting 5 random groups with a
sample size of 5. From the same data. obtain an Event 2 by selecting a
random set of 3 three groups with an n of 3.
• Compute for the mean and variance of selected sample Events 1 and 2.
In one sentence. which of the two has a larger variance and why?
Transcribed Image Text:A copper wiring is being tested for its strength (MPa) with N(μ. O=0.42). Multiple samples have obtained strengths as shown in the data below. 68.79 69.03 68.49 68.96 69.28 69.20 68.27 68.95 69.66 69.04 69.58 68.23 69.21 68.85 68.53 68.99 68.82 68.58 69.21 68.95 69.22 68.91 69.19 69.14 69.00 69.52 69.14 68.43 68.86 68.86 69.31 69.44 68.90 69.47 69.69 68.60 • What is the probability that a sample mean has strength of 68.8 MPa? • From the data, obtain an Event 1 by selecting 5 random groups with a sample size of 5. From the same data. obtain an Event 2 by selecting a random set of 3 three groups with an n of 3. • Compute for the mean and variance of selected sample Events 1 and 2. In one sentence. which of the two has a larger variance and why?
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