SRI VENKATESA PERUMAL COLLEGE OF ENGINEERING AND TECHNOLOGY,PUTTUR
Academic Year:2015-16
Branch:CSE
Name of the Exam:II mid
Subject:P&S
Year&Sem:II-I
____________________________________________________________________
1.Suppose the inter arrival time is 15 min and inter service time is 10min . The traffic
intensity is
4
5
a)5
𝟏𝟓
b)4
10
c)𝟏𝟎
d)15
2. If the no. of arrivals is 4 per hour and average no.of services is 6 per hour, probability that a new arrival
need not wait for service is____
2
a)
3
2
𝟏
b)9
4
c)𝟑
d)9
3.Arrival rate is 10 per day, service rate is 16 per day. The day consists of 8 working hours. The
expected idle time per day is _________.
a)2 hours
b)3 hours
c)3.5 hours
d)4 hours
4. Arrival rate is 10 per day, service rate is 16 per day. The day consists of 8 working hours. Average no
.of customers in the system is ______1
4
a)3
𝟓
b)3
c)𝟑
d)2
5.If λ=8,µ=12 per hour, the average time spent by a customer in the system is ____________.
a)10 min
b)12 min c)15 min
d)20 min
6. If λ=8,µ=12 per hour, the expected time a customer spent s in the queue is _________.
a)10 min
b)15 min
c)7 min
d)5 min
7.Arrival rate is 3 per hour ,service rate is 5 per hour ,then traffic intensity is ________.
𝟑
a)𝟓
5
b)3
2
5
5
2
8.Formula for traffic intensity is________.
µ
𝝀
a)𝜆
c)µλ
b)µ
d)µ+λ
9.A queuing model in which only arrivals are counted and no departures takes place is
called__________ process.
a)pure death b)pure birth
c)pure death and birth d) none
10.In one way ANOVA formula for correction factor_____.
a)(G.T)2
b)
(𝐆.𝐓)𝟐
𝑵
c)
(G.T)2
d)none
𝑛
11.Row sum of squares in one way ANOVA is __________.
a)
∑𝑅2
𝑛
b)
∑𝑹𝟐
𝒏
− 𝑪. 𝑭
c)C.F – n
d)none
12.Total sum of squares in one way ANOVA ________.
c)
a)∑∑y2-C.F
b)∑∑y2
)∑∑y3
d)none
13.Error sum of squares in one way ANOVA ________.
c)
a)Q-Q1
b)Q-Q3
Q-Q4
d)none
14.If Fcal≥ Ftab then we can _______ the null hypothesis.
a)Accept
b) Reject
c) Accept and Reject
d)none
15. If Fcal≤ Ftab then we can _______ the null hypothesis.
a)Accept
b) Reject
c) Accept and Reject d)none
16.Degrees of freedom for rows in one way ANOVA is________.
a)n-1
b)m-1
c)m+n
d)m-n
17. Degrees of freedom for Error in one way ANOVA is ________.
a)n-1
b)m-1
c)m+n
d)N-m
18. Degrees of freedom for Total in one way ANOVA is ________.
a)n-1
b)m-1
c)m+n
d)N-1
19. In two way ANOVA formula degrees of freedom for rows ______.
a)c-1
b) r-1
c) (r-1) (c-1)
d)rc-1
20. In two way ANOVA formula degrees of freedom for columns ______.
a)c-1
b) r-1
c) (r-1) (c-1)
d)rc-1
21. In two way ANOVA formula degrees of freedom for error ______.
a)c-1
b) r-1
c) (r-1) (c-1)
d)rc-1
22. In two way ANOVA formula degrees of freedom for total ______.
a)c-1
b) r-1
c) (r-1) (c-1)
d)rc-1
23.Analysis of completely randomized design is same as_______.
a)one way ANOVA b)two way ANOVA C) three way ANOVA d)none
24. Analysis of randomized block design is same as_______.
a)one way ANOVA
b)two way ANOVA C) three way ANOVA d)none
25. latine square design is same as___________.
a) one way ANOVA
b)two way ANOVA C) three way ANOVA d)none
26. In two way ANOVA formula for correction factor is
(𝑮.𝑻)𝟐
27. Formula for row sum of squares in two way ANOVA is
𝒓𝒄
∑𝑹𝒊𝟐
𝒄
-c.f
28. Formula for column sum of squares in two way ANOVA is
∑𝒄𝒋𝟐
𝒓
-c.f
29. Formula for total sum of squares in two way ANOVA is ∑∑yij2-c.f
30. Formula for error sum of squares in two way ANOVA is Q-Q1-Q2.
31. The maintains of quality of manufactured items at uniform level is called as Quality control .
32. If σ is given C.L for x̄ - chart is X⁼.
𝟑𝛔
33. If σ is given L.C.L for x̄ - chart is X⁼- 𝒏.
√
34. If σ is not given U.C.L for x̄ - chart is X⁼+A2 R̄ .
35. If σ is not given C.L for x̄ - chart is X⁼ .
36. If σ is not given L.C.L for x̄ - chart is X⁼-A2 R̄ .
37. If σ is given U.C.L for R̄ - chart is D2 σ .
38. If σ is given C.L for R̄ - chart is d2 σ .
39. If σ is given L.C.L for R̄- chart is D1 σ .
40. If σ is not given U.C.L for R̄- chart is D4R̄
41. If σ is not given C.L for R̄- chart is R̄.
42. If σ is not given L.C.L for R̄- chart is D3R̄.
43. If σ is given U.C.L for σ - chart is B2 σ .
44. If σ is given C.L for σ - chart isB3s̄ .
45. If σ is given L.C.L for σ - chart is B1σ .
46. If σ is not given U.C.L for σ - chart is B3s̄ .
47. If σ is not given C.L for σ - chart is s̄.
48. If σ is not given L.C.L for σ - chart is B4s̄ .
49. In three way ANOVA formula for correction factor is
(𝑮.𝑻)𝟐
𝒎𝟐
∑𝑹𝒊𝟐
50. Formula for row sum of squares in three way ANOVA is
𝒎
-c.f.
51. Formula for column sum of squares in three way ANOVA is
∑𝒄𝒋𝟐
𝒎
52. Formula for Treatment sum of squares in three way ANOVA is
-c.f.
∑𝒕𝒌𝟐
𝒎
-c.f.
54. Formula for total sum of squares in three way ANOVA is ∑∑yij2-c.f.
55. Formula for error sum of squares in three way ANOVA is Q-Q1-Q2-Q3.
56. In three
57. In three
58. In three
59. In three
60. In three
way
way
way
way
way
ANOVA degrees of freedom for rows is m-1.
ANOVA degrees of freedom forcolumns is m-1.
ANOVA degrees of freedom for treatments is m-1.
ANOVA degrees of freedom for error is (m-1)(m-2)
ANOVA degrees of freedom for total is m2-1.
II mid Descriptive Questions
1.Write the procedures for one way and two way ANOVA.
2.Write about Latin square design or Three way ANOVA.
3.Perform a two way ANOVA on the data given below.
Plots of land
Treatment
1
38
40
41
39
2
45
42
49
36
3
40
38
42
30
4.a)Discuss about Queueing theory and explain its applications.
b)Explain about queueing characteristics.
5.a)Write about (M/M/1):(∞/FIFO) queueing system.
b) Write about (M/M/1):(N/FIFO) queueing system.
6.A tollgate is operated on a frequency where cars arrive according to a poisson distribution with mean
frequency of 1.2 cars per min. The time of completing the payment follow a exponential distribution with
mean of 20sec.Find
i)The idle time of the counter.
ii) Average no. of cars in the system and Queue.
iii) ) Average time that a car spent in the system and Queue.
iv)The probability that a car spends more than 30 sec in the system.
7.A car park contains 5 cars. The arrival of car is poisson with a mean rate of 10 per hour. The length of
time car spents in the car park has negative exponential distribution with mean 2 hours. How many cars
are in the car park on average and what is the probability of anewly arriving customer finding the car park
full and having to park his car elsewhere.
8.Explain the term Statistical quality control. Discuss about applications of SQC and causes of variation.
9.Samples of 100 tubes are drawn randomly from the output of a process that produces several thousand
units daily. Sample items are inspected for quality & defective tubes are rejected.the results of 15 samples
are shown below.
Sample
no.of
Sample no
no.of defective
no
defective
items
items
1
8
9
10
2
10
10
13
3
13
11
18
4
9
12
15
5
8
13
12
6
10
14
14
7
14
15
9
8
6
10. The following data show the values of sample mean(x) and range(R) for ten samples of size 6
each.calculate the values of control limits for mean chart and range chart.Draw the control chart and
comment on the state of control.
Sample No. 1
2
3
4
5
6
7
8
9
10
Mean(x)
43 49
37
44
45
37
51
46
43
47
Range(R)
5
6
5
7
7
4
8
6
4
6