STA301 Final Term Solved Papers

FINALTERM EXAMINATION

FALL 2006

STA301 - STATISTICS AND PROBABILITY (Session - 1 Marks: 50

Time: 120min

Student Name:

Center Name/Code:

Exam Date: Tuesday, February 06, 2007

2. Do not ask any question about the contents of this examination from anyone.
3. You are allowed to use the calculator & Statistical tables in order to solve the questions.
4. For your convenience we are providing you the following symbols,

 ,∩, X or write Mean, s, or sd for standard deviation, s2 or sd2 or log x

variance for variance, for square root or whole square root.

Question

Question Marks

Q1. Statistics as a subject, in which two of parts is divided? Explain briefly both of parts. (4 marks)

Answer: Statistics as a subject, divided into two parts: i)

Descriptive Statistics

The branch of statistics that deals with the collection, presentation and analysis of data is called descriptive statistics.

Examples:

a) A cricket player wants to find his score average for the last 20 games. b) Amir wants to describe the variation in his four test scores in Statistics. ii)

Inferential Statistics

The branch of statistics that deals with drawing inference about population on the basis of sample information is called inferential statistics.

Examples:

a) A cricket player wants to estimate his chance of scoring based on his current season average. b) Based on the first test score, Amir would like to predict the variation in his final statistics test scores.

Q2. ( Marks: 4 )

Differentiate simple and composite hypothesis. There is difference between simple and composite hypothesis:

Simple Hypothesis

Composite Hypothesis

A statistical hypothesis is said to be a simple hypothesis, if it is completely satisfies the underlying population distribution. a) The functional form of the distribution. b) The specific values of all of its parameters.

Example

Mean μ = 30 and standard deviation σ = 4 or n = 6 and π = 0.4 A statistical hypothesis is said to be composite hypothesis, if it does not completely satisfy the underlying population distribution.

Example

Mean μ = 40 and standard deviation σ ≥ 4

Q3. ( Marks: 4 )

Correct the followings:

Contains approximately 50% area.   2 Contains approximately 90% area.  3 Contains approximately 90.88% area.

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1. Continuous variable

Q6. ( Marks: 1 )

The expected value of the normal distribution is

1. 0
2. 1

Q7. ( Marks: 1 )

Normal distribution is

Uni-model

1. Bi-modal
2. Multi-model
3. None of these

Q8. ( Marks: 1 )

One sided and two sided critical regions are based on:

1. Sample size