Formulas provided by professor:

EOQ=2DSHEOQ=2DSH

TC=SDQ+HQ2TC=SDQ+HQ2

Purchasing Cost=PD

SigmaLTD=SQRT(L)*SigmaR

SigmaLTD=R*SigmaL

SL*=Cu/(Cu+Co)

RT=I

Rp=c/Tp

Cycle Time = CT=1/Rp

Takt Time = TT= 1/R

Cycle Inventory = Q/2

Average Inventory in the Presence of Safety Stock = Cycle Inventory +Isafety

Question 20:

Applicants arrive at a social security center at a rate of 18 applicants per hour. They first go through a preliminary review in Station-1. 80% of the applicants have all the required documents and are directed to Station-3 for registration. The rest are sent to Station-2 for a secondary review. 15% of the incoming applicants to Station-2 do not have all the required documents. They leave the social security center to come back in another day. The documents of the rest are organized at Station-2, and they are then directed to Station-3. All the applicants coming from Station-1 and Station-2 complete their registration process at Station-3. The time required for each application (Tp) is 2, 14, and 12 minutes in Station-1, Station-2, and Station-3, respectively. There are 1, 1, and 5 clerks working at Station-1, Station-2, and Station-3, respectively.

1. Compute the utilization of Station-1. The potential answers are: A: 66.67%. B: 93.33%. C: 85%. D: 60%. E: 56.67%.

2. Compute the utilization of Station-2. The potential answers are: A: 80%. B: 53.33%. C: 81.67%. D: 84%. E: 69.33%.

3. What percentage of applicants enter Station-3? The potential answers are: A: 90%. B: 86%. C: 91%. D: 88%. E: 97%.

4.Compute the utilization of Station-3. The potential answers are: A: 90.24%. B: 69.84%. C: 78.12%. D: 69.98%. E: 74.25%.

5. Compute the capacity of this process. The potential answers are:

A: 24.74 applicants per hour. B: 39.89 applicants per hour. C: 41.21 applicants per hour.

D: 42.55 applicants per hour. E: 21.43 applicants per hour.

6. Suppose we have doubled the capacity of the bottleneck. Compute the new capacity of the process. The potential answers are:

A: 25.77 applicants per hour. B: 24.29 applicants per hour. C: 21.43 applicants per hour.

D: 34.09 applicants per hour. E: 42.86 applicants per hour.

HUEJI IUI' J: The parameters of my population distribution are: p = 50 and 0 =15. The parameters of my sample are: Mean = 46 and n =16. Calculate my sample's Z score on the comparison distribution. 0 3.75 91 -1.07 O -1.67 O -3.75 QUESTION 36 The parameters of my comparison distribution are: pM = 20 and OH = 2. The parameters of my sample are: Mean = 17 and n = 25. Calculate my sample's Z score on the comparison distribution. 0 +3 0 +1.5 0 +15 Eel -1.5 QUESTION 37 The parameters of my comparison distribution are: pH = 75 and OM = 5. The parameters of my sample are: Mean = 90 and n =16. Calculate my sample's 2 score on the comparison distribution. 0 +1.5 0 -1.5 0 +12 (9+3 For problems # 1 - 8, match the definition on the left with the appropriate term on the right. Indicate the assigned letter for the term on the line prior to the definition. (2 points each) Definition: Term: 1. Averaging together scores from all levels of one factor a. Mean Square Between to calculate the main effect means for the other factor. Groups 2. An estimate of the population variance when using the b. Factor Analysis of Variance (ANOVA). C. Post Hoc Comparisons 3. Describe the variability in scores within the conditions of an experiment. d. Eta Squared 4. In analysis of variance, is the variable (independent or e. Main Effect quasi-independent) that designates the groups being compared. f. Confounded Comparison Groups 5. Present when the relationship between one factor and g. Mean Square Within the dependent scores changes as the level of the other Groups factor changes. h. Collapsing 6. Procedures used to compare all pairs of means in a significant factor to determine which means differ i. F-ratio significantly from each other. j. Mean Square (MS) 7. A comparison of two cells that differ along more than one factor. k. Two way Interaction Effect 8. The ratio of the mean square between groups to the 1. Unconfounded comparison Mean square within groups.Problem 1.2 An experiment was conducted as a between-subjects design with three conditions. Each group had the same number of participants. The researchers found that all three sample means differed from each other. The researchers carried out an ANOVA and a post-hoc analysis with SPSS. The outputs are shown below. m) In the post-hoc analysis, three different comparisons were made. Each comparisons involved two groups (or two conditions). Label the comparisons with A, B, C and write down the groups that were compared in A, B,C. n) For the comparisons A, B,C write down the SPSS pseudo p values with 2 digits after the decimal point (e.g., 1.23) o) According to the SPSS output, which differences were statistically significant, which not? Explain your answers ANOVA Score Sum of Squares Mean Square F Sig. Between Groups 104.533 2 52.267 8.000 006 Within Groups 78 400 12 6.533 Total 182.933 14 Multiple Comparisons Dependent Variable: Score Tukey HSD Mean 95% Confidence Interval Difference ( (0 Group "J Group 51d. Error Lower Bound Upper Bound 5.600 1.617 012 1.2 1.617 1 000 4,31 431 2 -5.600 1.617 012 9.9 -1.25 1817 -120