Statistics II
This course contains basics of statistics, descriptive statistics, probability, sampling, random variables and mathematical expectations, probability distribution, correlation and regression
Tribhuvan University
Institute of Science and Technology
Model Set I
Bachelor Level / third-semester / Science
Computer Science and Information Technology( STA215 )
Statistics II
Full Marks: 60 + 20 + 20
Pass Marks: 24 + 8 + 8
Time: 3 Hours
Candidates are required to give their answers in their own words as far as practicable.
The figures in the margin indicate full marks.
Group A
Attempts any TWO questions
The table below represents the yield of 4 x 4 experiment. Carry out the ANOVA
| A18 | B23 | A15 | C12 |
| B16 | C12 | D17 | D19 |
| C23 | A18 | B18 | A23 |
| D19 | D19 | C20 | B18 |
The following table give information about the blood pressure level of different age at different weight
| Blood Pressure | 147 | 125 | 160 | 118 | 149 | 128 |
| Age | 56 | 42 | 72 | 36 | 63 | 47 |
| Wt | 65 | 90 | 60 | 85 | 75 | 80 |
What will be the blood pressure of a person at age 55 and having weight 85 kg. Also compute the standard error.
The following are the final examination marks of three group of students who were taught computer by three different methods.
| Method I | 94 | 88 | 91 | 74 | 87 | 97 | |
| Method II | 85 | 82 | 79 | 84 | 61 | 72 | 80 |
| Method III | 89 | 67 | 72 | 76 | 69 |
Are all three methods equally effective? Use H tests at 5% level of significance.
Group B
Attempts any EIGHT questions
A sample size 100 produces the sample mean 16. Assuming population standard deviation 3, compute 99% confidence level for population.
There are two software developer in incubation officer. First developer face 21 box while applying 500 logics. similarly another developers faces 3 box in 100 logics. Are two developer differ significantly in their performance?
In 20 toss of a coin the following sequence of head(H) and tail(H) is obtained HHTTTHTHHHTTHHTTHHTT, Test at 5% level of significance whether the sequence is random.
If r12 = 0.8, r13 = 0.77 and r23 = 0.69 then find R2.13 and r23.1
What is measurement of scale? Describe the various type of scale.
Define the stochastic process and classify.
Complete the following table for the analysis of variance of design.
| S.V. | d.f | S.S | MSS | F |
| Blocks | 3 | 45.5 | ? | ? |
| Treatments | 4 | ? | ? | ? |
| Error | ? | ? | 3.6 | ? |
| Total | ? | 120.89 |
The following table gives the results of flower color and type of leaf.
| Flower Color | Flat | Curled |
| Pink | 2 | 30 |
| Red | 9 | 12 |
Examine the vaccine has a effect in controlling the disease
Telephone calls arrives at telephone booth following Poisson distribution at an average of 5 minutes between one and next. The length of phone call is assumed to be experientially distributed with an average of 4 minute
- What is the probability that a person arriving at the booth will have to wait?
- What is the average length of queue that forms time to time?