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

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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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