Tribhuvan University

Institute of Science and Technology

Model Set I

Bachelor Level / third-semester / Science

Computer Science and Information Technology( STA164 )

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**

1

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 |

2

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.

3

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**

4

A sample size 100 produces the sample mean 16. Assuming population standard deviation 3, compute 99% confidence level for population.

5

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?

6

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.

7

If r_{12} = 0.8, r_{13} = 0.77 and r_{23} = 0.69 then find R_{2.13} and r_{23.1}

8

What is measurement of scale? Describe the various type of scale.

9

Define the stochastic process and classify.

10

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 |

11

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

12

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?

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