Question

2. (30 P)Two different simulation models were compared based on average Cycle Time ($\mu_1 \text{ }-\text{ } \mu_2$), and the resulting Output Analyzer report is given below. Cycle Time 1 1.16 1.11 1.21 Paired-T Means Comparison : IDENTIFIER ESTD. MEAN DIFFERENCE STANDARD 0.950 C.I. MINIMUM MAXIMUM NUMBER DEVIATION HALF-WIDTH VALUE VALUE OF OBS Cycle Time 1 1.16 0.261 0.0518 2.56 3.49 100 1.31 2.15 100 a. (10 P) What does the output tell about the equality of mean Cycle Time in two different settings? Why? (Write the hypothesis and your conclusion)? b. (10 P) Considering the output above, what is the number of required runs in order to estimate a confidence interval on the true mean difference with a half-length of 0.025 min? c. (10 P) Considering the output above, what is the required number of replications to detect a mean Cycle Time difference of 0.25 min with a probability of 0.9 ($\alpha = 0.05$)?

          2. (30 P)Two different simulation models were compared based on average Cycle Time ($\mu_1 \text{ }-\text{ } \mu_2$), and the resulting Output Analyzer report is given below.
Cycle Time 1
1.16
1.11
1.21
Paired-T Means Comparison :
IDENTIFIER
ESTD. MEAN
DIFFERENCE
STANDARD 0.950 C.I.
MINIMUM
MAXIMUM
NUMBER
DEVIATION
HALF-WIDTH
VALUE
VALUE OF OBS
Cycle Time 1
1.16
0.261
0.0518
2.56
3.49
100
1.31
2.15
100
a. (10 P) What does the output tell about the equality of mean Cycle Time in two different settings? Why? (Write the hypothesis and your conclusion)?
b. (10 P) Considering the output above, what is the number of required runs in order to estimate a confidence interval on the true mean difference with a half-length of 0.025 min?
c. (10 P) Considering the output above, what is the required number of replications to detect a mean Cycle Time difference of 0.25 min with a probability of 0.9 ($\alpha = 0.05$)?

2. (30 P)Two different simulation models were compared based on average Cycle Time (μ1 -μ2), and the resulting Output Analyzer report is given below.
Cycle Time 1
1.16
1.11
1.21
Paired-T Means Comparison :
IDENTIFIER
ESTD. MEAN
DIFFERENCE
STANDARD 0.950 C.I.
MINIMUM
MAXIMUM
NUMBER
DEVIATION
HALF-WIDTH
VALUE
VALUE OF OBS
Cycle Time 1
1.16
0.261
0.0518
2.56
3.49
100
1.31
2.15
100
a. (10 P) What does the output tell about the equality of mean Cycle Time in two different settings? Why? (Write the hypothesis and your conclusion)?
b. (10 P) Considering the output above, what is the number of required runs in order to estimate a confidence interval on the true mean difference with a half-length of 0.025 min?
c. (10 P) Considering the output above, what is the required number of replications to detect a mean Cycle Time difference of 0.25 min with a probability of 0.9 (α = 0.05)?

Added by Cheryl D.

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