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STA 301 Current Final Term Papers Fall 2011 ( 03 Feb to 16 Feb 2012 )
Current Final Term Fall 2011 Papers, Feb 2012 Final Term Papers, Final Term Fall 2011 Papers, Solved Papers, Solved Past Papers, Solved MCQs
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1- Normal distribution X, u (meu),n,s, Z(alpha)=2.33 this was given and isko verify krny ky liye kaha gya tha result ko (Marks 5)
2- Probability of one electric device failure is 0.01. If a sample is chosen of 400, what is probability that exactly 2 are defective (Marks 5)
3- Two random samples were given and were asked to find Sp (Marks 5)
4- Two dices are rolled. Find probability that outcome is equal or more than 11. (Marks 5)
5- If X is binomial distribution n=5, p=0.5, q=0.5 then find SD(X) (Marks 3)
6- n=24, Mean=33, s=15, x=40.4. Compute t statistic (Marks 3)
7- 90% confidence interval of population mean is 11 to 20. Interpret result (Marks 3)
8- E(XY)=421, E(X)=42, E(Y)=15. Check independance (Marks 3)
9- Difference between statistics and statistic (Marks 3)
10- Why we call standard deviation the standard error (Marks 2)
11- if E(Y)=0.5 then find E(10.5+2Y) ... (Marks 2)
12- What is the meaning of 'b' in Y=a+bX (Marks 2)
13- Explain level of significance (Marks 2)
STA301+Current+paper+FALL+2011
olds papers m sy kuch b nai tha even a single mcqz.
F,T,z distribution or hypothesis sy he qustion thy long,
5 question 2 marks k thay
4Question marks or 4 qustion 5 num
kuch sanacrios thy un ko select karna tha.
7feb paper
1- Normal distribution X, u (meu),n,s, Z(alpha)=2.33 this was given and isko verify krny ky liye kaha gya tha result ko (Marks 5)
2- Probability of one electric device failure is 0.01. If a sample is chosen of 400, what is probability that exactly 2 are defective (Marks 5)
3- Two random samples were given and were asked to find Sp (Marks 5)
4- Two dices are rolled. Find probability that outcome is equal or more than 11. (Marks 5)
5- If X is binomial distribution n=5, p=0.5, q=0.5 then find SD(X) (Marks 3)
6- n=24, Mean=33, s=15, x=40.4. Compute t statistic (Marks 3)
7- 90% confidence interval of population mean is 11 to 20. Interpret result (Marks 3)
8- E(XY)=421, E(X)=42, E(Y)=15. Check independance (Marks 3)
9- Difference between statistics and statistic (Marks 3)
10- Why we call standard deviation the standard error (Marks 2)
11- if E(Y)=0.5 then find E(10.5+2Y) ... (Marks 2)
12- What is the meaning of 'b' in Y=a+bX (Marks 2)
13- Explain level of significance (Marks 2)
Today my Stats Paper STA-301 (7-02-2012)
Total Marks: 73
Total Questions: 41
MCQ’s : 26 marks (1 mark each)
Subjective: 47 marks
Question No. 1 to 26 Mcq’s
Q# 27: write down the t-statistic for testing of period observation.(2)
Q# 28: can all deciles be expressed as percentile? Explain (2)
Q# 29: what is meant by sampling distribution? (2)
Q# 30: The department claims that the exceeds Rs. 2500 at the 0.05 level, then formulate null alternative hypothesis?(2)
Q# 31: How we decide that the drawn sample is “Small Sample ” or a “Large Sample”?(2)
Q# 32: If E(X)=0.7 then find E(2X)? (2)
Q# 33: State the Baye’s theorem? (3)
Q# 34: Question : Calculate mean and variance ? (3)
Q# 35: “The 95% confidence interval for population mean is 1.3 to 4.7”. Interrupt this result (3)
Q# 36: Find value of <img height="35" width="23" />given n=25 s=10 t=2 mean=5 and variance<img height="27" width="27" />(3)
Q# 37: If E(XY)=045 E(X)=0.50 and E(Y)=0.90 then X and Y are independent?(3)
Q# 38: Compute the mean deviation? (5)
Q# 39: If n=13 =34 =70 =0.10 . Test the Hypothesis >31 (5)
Q# 40: Calculate Sampling distribution? (5)
Q# 41: Solve the Random Sample numerical? (5)
Stat301 final term papers 2012
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:
► 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:
► -∞ ≤ χ^{2}≤ ∞
► -∞ ≤χ^{2} ≤1
► -∞ ≤χ^{2} ≤0
► 0 ≤ χ^{2}≤ ∞ 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
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: 11 ( Marks: 1 ) - Please choose one
A discrete probability function f(x) is always:
► Non-negative
► Negative
► One
► Zero
Question No: 12 ( Marks: 1 ) - Please choose one
E(4X + 5) =__________
► 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: 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. =
►
►
►
►
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
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?
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.
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?
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.
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?
Paper 2
Question No: 1 ( Marks: 1 ) - Please choose one
10! =………….
► 362880
► 3628800
► 362280
► 362800
Question No: 2 ( Marks: 1 ) - Please choose one
When E is an impossible event, then P(E) is:
► 2
► 0
► 0.5
► 1
Question No: 3 ( Marks: 1 ) - Please choose one
The value of χ^{2}can never be :
► Zero
► Less than 1
► Greater than 1
► Negative
Question No: 4 ( Marks: 1 ) - Please choose one
The curve of the F- distribution depends upon:
► Degrees of freedom
► Sample size
► Mean
► Variance
Question No: 5 ( Marks: 1 ) - Please choose one
If X and Y are random variables, then is equal to:
►
►
►
►
Question No: 6 ( Marks: 1 ) - Please choose one
In testing hypothesis, we always begin it with assuming that:
► Null hypothesis is true
► Alternative hypothesis is true
► Sample size is large
► Population is normal
Question No: 7 ( Marks: 1 ) - Please choose one
For the Poisson distribution P(x) = the mean value is :
► 2
► 5
► 10
► 0.135
Question No: 8 ( Marks: 1 ) - Please choose one
When two coins are tossed simultaneously, P (one head) is:
►
►
►
► 1
Question No: 9 ( Marks: 1 ) - Please choose one
From point estimation, we always get:
► Single value
► Two values
► Range of values
► Zero
Question No: 10 ( Marks: 1 ) - Please choose one
The sample variance is:
► Unbiased estimator of
► Biased estimator of
► Unbiased estimator of
► None of these
Question No: 11 ( Marks: 1 ) - Please choose one
Var(4X + 5) =__________
► 16 Var (X)
► 16 Var (X) + 5
► 4 Var (X) + 5
► 12 Var (X)
Question No: 12 ( Marks: 1 ) - Please choose one
When f (x, y) is bivariate probability density function of continuous r.v.'s X and Y, then
is equal to:
► 1
► 0
► -1
►
Question No: 13 ( Marks: 1 ) - Please choose one
The area under a normal curve between 0 and -1.75 is
► .0401
► .5500
► .4599
► .9599
Question No: 14 ( Marks: 1 ) - Please choose one
When a fair die is rolled, the sample space consists of:
► 2 outcomes
► 6 outcomes
► 36 outcomes
► 16 outcomes
Question No: 15 ( Marks: 1 ) - Please choose one
When testing for independence in a contingency table with 3 rows and 4 columns, there are ________ degrees of freedom.
► 5
► 6
► 7
► 12
Question No: 16 ( Marks: 1 ) - Please choose one
The F- test statistic in one-way ANOVA is:
► SSW / SSE
► MSW / MSE
► SSE / SSW
► MSE / MSW
Question No: 17 ( Marks: 1 ) - Please choose one
The continuity correction factor is used when:
► The sample size is at least 5
► Both nP and n (1-P) are at least 30
► A continuous distribution is used to approximate a discrete distribution
► The standard normal distribution is applied
Question No: 18 ( Marks: 1 ) - Please choose one
A uniform distribution is defined by:
► Its largest and smallest value
► Smallest value
► Largest value
► Mid value
Question No: 19 ( Marks: 1 ) - Please choose one
Which graph is made by plotting the mid point and frequencies?
► Frequency polygon
► Ogive
► Histogram
► Frequency curve
Question No: 20 ( Marks: 1 ) - Please choose one
In a set of 20 values all the values are 10, what is the value of median?
► 2
► 5
► 10
► 20
Question No: 21 ( Marks: 1 )
If =,=,= and =
Then find F (1)
Question No: 22 ( Marks: 2 )
Write down the formula of mathematical expectation.
e=(w * p) + (-v *1). e
Question No: 23 ( Marks: 3 )
Discuss the statistical independence of two discrete random variables:
Question No: 24 ( Marks: 3 )
For given data calculate the mean and standard deviation of sampling distribution of mean if the sampling is down withoutreplacement.
Question No: 25 ( Marks: 3 )
Elaborate the Least Significant Difference (LSD) Test.
Question No: 26 ( Marks: 3 )
State the Bayes’ Theorem.
Question No: 27 ( Marks: 5 )
The means and variances of the weekly incomes in rupees of two samples of workers are given in the following table, the samples being randomly drawn from two different factories:
Calculate the 90% confidence interval for the real difference in the incomes of the workers from the two factories.
Question No: 28 ( Marks: 5 )
From the given data and .
Carry out the significance test for the stated hypothesis.
Question No: 29 ( Marks: 5 )
Given the Probability density function
.
Compute the distribution function F(x).
Question No: 30 ( Marks: 10 )
a) Verify that f(x,y) is a joint
density function.
Calculate
Question No: 31 ( Marks: 10 )
Let be a random sample of size 3 from a population with mean
Consider the following two estimators of the mean
Which estimator should be preferred?
Stat final information
Total question 31
21 was mcqs and 10 was subjective questions.
2 was of 10,10 marks
2 was of 5,5 marks
4 was of 3,3 marks these question ware about properties and 1 was about confidece interval
2 was of 1, 1 marks, these question were only about defitions.
1) 1 question from confidence interval , question was of 3 marks,
find the confidence interval for difference between two ( papolation means) u1 , u2,
ye question handouts main say hi aya tha, i think lecture no 35 main say tha.
2) 1 question from hypotheyes testing ( Z- test) , marks 10
3) 2 questions was about properties, one was, write the properties of binomial distribution. and other was ,
what is the good point estimator?
4) 1 question was from lecture no 23 , this was of 3 marks
page no 172, 1st example was same to same.
find the F(x) of { 1, 2}
x and f( x) was given.
Definition estimate n estimator
: x is poisson random variable with U(meu) =2 find (x=0)(x=1)(x=2)
Q : joint probabilty distribution ka ta...bht ezy table dia ta find px=0/y=1
Q: hypergeometric distibution ka ta....
Q: confidence interval level ka ta...
or baki choty choty shy....like why we use t-value...,
.s^2 ia approx equall to S^2 how....
1- Normal distribution X, u (meu),n,s, Z(alpha)=2.33 this was given and isko verify krny ky liye kaha gya tha result ko (Marks 5)
2- Probability of one electric device failure is 0.01. If a sample is chosen of 400, what is probability that exactly 2 are defective (Marks 5)
3- Two random samples were given and were asked to find Sp (Marks 5)
4- Two dices are rolled. Find probability that outcome is equal or more than 11. (Marks 5)
5- If X is binomial distribution n=5, p=0.5, q=0.5 then find SD(X) (Marks 3)
6- n=24, Mean=33, s=15, x=40.4. Compute t statistic (Marks 3)
7- 90% confidence interval of population mean is 11 to 20. Interpret result (Marks 3)
8- E(XY)=421, E(X)=42, E(Y)=15. Check independance (Marks 3)
9- Difference between statistics and statistic (Marks 3)
10- Why we call standard deviation the standard error (Marks 2)
11- if E(Y)=0.5 then find E(10.5+2Y) ... (Marks 2)
12- What is the meaning of 'b' in Y=a+bX (Marks 2)
13- Explain level of significance (Marks 2) [/left]
The parameters of the binomial distribution b(x; n, p) are:
► x & n
► x & p
► n & p
x, n & p
answer:N/A
Which of the following is true for the Poisson distribution:
► mean > variance
► mean < variance
► mean = variance
mean= standard deviation
answer:N/A
If a significance level of 1% is used rather than 5%, the null hypothesis is:
► More likely to be rejected
Less likely to be rejected correct Selected answer
► Just as likely to be rejected
► None of the above
The variance of the chi-square distribution is:
► 2v is the variance of chi-square distribution
►
►
The mean of the chi-square distribution is (yeh past paper ka nahi lekin aya isliay likhdia)
mean=variance in case of chi-square distribution
Question No: 17 ( Marks: 1 ) - Please choose one
The degrees of freedom for a t-test with sample size 10 is:
5
► 8
► 9
► 10
Answer: is 9 but I am not confirmed
Question No: 24 ( Marks: 2 )
How we decide that the drawn sample is “small sample” or a “large sample”?
Question No: 30 ( Marks: 3 )
On the following table we want to test the independence of smoking pattern and marital status, what will be the degrees of freedom for the test of independence?
MARITAL STATUS SMOKING PATTERN Total
Total Abstinence Only
at times Regular
Smoker
Single 67 213 74 354
Married 411 633 129 1173
Widowed 85 51 7 143
Divorced 27 60 15 102
Total 590 957 225 1772
Answer
Question No: 36 ( Marks: 5 )
a)A random sample of size n is drawn from normal population with mean 5 and variance .
If n=25, s=10 and t=2, what is the values of ?
b)If =4, =3.3 and n = 9, compute t-statistic.
[Marks 5]
If
Test the hypothesis
[marks 2]
Define central limit theorem
[marks 3]
A question was:
Z-test statistics was required, Po was given, X(bar)=Mean was given, n no. of the samples were given all with a scenario.
[Marks 3]
A Mcqs was:
If c is a constant then E© is;
Options forgot (like independent, dependent, …. Figures nai they relations hi option maen given they)
[marks 1]
7,7,7,7,7,7,7. what is the standard deviation of this
Answer: solve this equation by . You get its answer 0
Total Marks: 73
Total Questions: 41
MCQ’s : 26 marks (1 mark each)
Subjective: 47 marks
Question No. 1 to 26 Mcq’s
Q# 27: write down the t-statistic for testing of period observation.(2)
Q# 28: can all deciles be expressed as percentile? Explain (2)
Q# 29: what is meant by sampling distribution? (2)
Q# 30: The department claims that the exceeds Rs. 2500 at the 0.05 level, then formulate null alternative hypothesis?(2)
Q# 31: How we decide that the drawn sample is “Small Sample ” or a “Large Sample”?(2)
Q# 32: If E(X)=0.7 then find E(2X)? (2)
Q# 33: State the Baye’s theorem? (3)
Q# 34: Question : Calculate mean and variance ? (3)
Q# 35: “The 95% confidence interval for population mean is 1.3 to 4.7”. Interrupt this result (3)
Q# 36: Find value of given n=25 s=10 t=2 mean=5 and variance(3)
Q# 37: If E(XY)=045 E(X)=0.50 and E(Y)=0.90 then X and Y are independent?(3)
Q# 38: Compute the mean deviation? (5)
Q# 39: If n=13 =34 =70 =0.10 . Test the Hypothesis >31 (5)
Q# 40: Calculate Sampling distribution? (5)
Q# 41: Solve the Random Sample numerical? (5)
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