STA301 solved final term paper

FINAL TERM PAPER

STA301-

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Question No: 1    ( Marks: 1 )    - Please choose one

 For a particular data the value of Pearson’s coefficient of skewness is greater then zero. What will be the shape of distribution?

       ► Negatively skewed

       ► J-shaped

       ► Symmetrical

       ► Positively skewed

   

Question No: 2    ( Marks: 1 )    - Please choose one

 In measures of relative dispersion unit of measurement is:

       ► Changed

       ► Vanish

       ► Does not changed

       ► Dependent

   

Question No: 3    ( Marks: 1 )    - Please choose one

 The F-distribution always ranges from:

       ► 0 to 1

       ► 0 to -∞

       ► -∞ to +∞

       ► 0 to +∞

   

Question No: 4    ( Marks: 1 )    - Please choose one

 In chi-square test of independence the degrees of freedom are:

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       ► n - p

       ► n - p-1

       ► n - p- 2

       ► n – 2

   

Question No: 5    ( Marks: 1 )    - Please choose one

 The

Chi- Square

distribution is continuous distribution ranging from:

       ► -∞ ≤ χ²≤ ∞

       ► -∞ ≤χ² ≤1

       ► -∞ ≤χ² ≤0

       ► 0 ≤ χ²≤ ∞ 348

   

Question No: 6    ( Marks: 1 )    - Please choose one

 If X and Y are random variables, then is equal to:

       ►

       ►

       ►

       ► answr

   

Question No: 7    ( Marks: 1 )    - Please choose one

 If ŷ is the predicted value for a given x-value and b is the y-intercept then the equation of a regression line for an independent variable x and a dependent variable y is:

       ►  ŷ = mx + b, where m = slope

       ►  x = ŷ + mb, where m = slope

       ►  ŷ = x/m + b, where m = slope

       ►  ŷ = x + mb, where m = slope

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Question No: 8    ( Marks: 1 )    - Please choose one

 The location of the critical region depends upon:

       ► Null hypothesis

       ► Alternative hypothesis

       ► Value of alpha

       ► Value of test-statistic

   

Question No: 9    ( Marks: 1 )    - Please choose one

 The variance of the t-distribution is give by the formula:

       ►

       ►

       ►

       ►

   

Question No: 10    ( Marks: 1 )    - Please choose one

 Which one is the correct formula for finding desired sample size?

       ►

       ►

       ►

       ►

   

Question No: 11    ( Marks: 1 )    - Please choose one

 A discrete probability function f(x) is always:

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       ► Non-negative

       ► Negative

       ► One

       ► Zero

   

Question No: 12    ( Marks: 1 )    - Please choose one

 E(4X + 5) =__________

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       ► 12 E (X)

       ► 4 E (X) + 5

       ► 16 E (X) + 5

       ► 16 E (X)

   

Question No: 13    ( Marks: 1 )    - Please choose one

 How P(X + Y < 1) can be find:

       ► f(0, 0) + f(0, 1) + f(1, 2)

       ► f(2, 0) + f(0, 1) + f(1, 0)

       ► f(0, 0) + f(1, 1) + f(1, 0)

       ► f(0, 0) + f(0, 1) + f(1, 0)

   

Question No: 14    ( Marks: 1 )    - Please choose one

 The __________:

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   ►

       ►

       ►

       ►

   

Question No: 15    ( Marks: 1 )    - Please choose one

 The area under a normal curve between 0 and -1.75 is

       ► .0401

       ► .5500

       ► .4599

       ► .9599

   

Question No: 16    ( Marks: 1 )    - Please choose one

 In normal distribution M.D. =

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       ►

       ►

       ►

       ►

   

Question No: 17    ( Marks: 1 )    - Please choose one

 In an ANOVA test there are 5 observations in each of three treatments.  The degrees of freedom in the numerator and denominator respectively are.......

       ► 2, 4

       ► 3, 15

       ► 3, 12

       ► 2, 12

    

Question No: 18    ( Marks: 1 )    - Please choose one

            A set that contains all possible outcomes of a system is known as

       ►       Finite Set

       ►       Infinite Set

       ► Universal Set

       ►        No of these

   

Question No: 19    ( Marks: 1 )    - Please choose one

 Stem and leaf is more informative when data is :

       ► Equal to 100

       ► Greater Than 100

       ► Less than 100

       ► In all situations

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Question No: 20    ( Marks: 1 )    - Please choose one

 A population that can be defined as the aggregate of all the conceivable ways in which a specified event can happen is known as:

       ► Infinite population

       ► Finite population

       ► Concrete population

       ► Hypothetical population

   

Question No: 21    ( Marks: 1 )

  , what do you say about the estimator T, where  is a parameter ?

   

Question No: 22    ( Marks: 2 )

 What is a binomial experiment?

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Question No: 23    ( Marks: 3 )

 Formulate the null and alternative hypothesis in each of the following.

(1) Average domestic consumption of electricity is 50 units per month.

(2) Not more than 30% people pay Zakat (tax).

   

Question No: 24    ( Marks: 3 )

 What is mathematical expectation of discrete random variable?

   

Question No: 25    ( Marks: 3 )

 Why we prefer to use pooled estimator

   

Question No: 26    ( Marks: 3 )

 Differentiate between grouped and ungrouped data.

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Question No: 27    ( Marks: 5 )

 A population 2, 4, 6, 8, 10, 12

N=6,    n=2

After drawing possible samples, we have calculated sampling mean and sampling variance . Verify  

   

Question No: 28    ( Marks: 5 )

 A random sample of size n is drawn from normal population with mean 5 and variance . Answer the following:

If s=15,  =14 and t=3, what is values of n?

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Question No: 29    ( Marks: 5 )

 Given the Probability density function

.

Compute the distribution function F(x).

   

Question No: 30    ( Marks: 10 )

 An urn contains nine balls; five of them are red and four blue. Three balls are drawn without replacement. Find the distribution of X= number of red balls drawn.

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Question No: 31    ( Marks: 10 )

 A research worker wishes to estimate the mean of a population using a sample sufficiently large that the probability will be 0.95 that the sample mean will not differ from the true mean by more than 25 percent of the standard deviation. How large a sample should be taken?