1. A sample of siz n=3 drawn without replacement expirenment from a population N=5 items whose values ,0,2,3,6,7 draw possible samples
2. Calculate sampling error if sample is 102 and population mean is 100
3. A random sample of 12 observations is drawn then a normal distribution with [IMG]file:///C:/Users/ARSLAN/AppData/Local/Temp/msohtmlclip1/01/clip_image002.gif[/IMG]=33.suppose that the sample means is found to be [IMG]file:///C:/Users/ARSLAN/AppData/Local/Temp/msohtmlclip1/01/clip_image004.gif[/IMG] Find 96% confidence interval for [IMG]file:///C:/Users/ARSLAN/AppData/Local/Temp/msohtmlclip1/01/clip_image006.gif[/IMG]
4. RCBD with MSE=200Measure of treatments=4 no of block=5 Then find value of LSD test for [IMG]file:///C:/Users/ARSLAN/AppData/Local/Temp/msohtmlclip1/01/clip_image008.gif[/IMG]
5. Define Unbiased estimator
6. Quartile deviation
7. 5 number summery
Total marks 75
30 multiple choic
4 question of 2 marks
4 question of 3 marks
5 question of 5 marks
Sentific calculator not allowed
Multiple choice 10% from past papers
Q1.decribe about singnefince level
Q2 .discuss about center limit theorem
Q3.q about random degree
Q4.2 – 3 q about hypothesis
Some Qs are related to tdistribution .0
Q5 About Destiy function.
3 question was from probability
husband and wife apply for same job and husband probability for job is like this 9/3 and wife job probability was something 3/5 like , what is the probability that husband could get job and wife not?
another question was , a boy sell umbrellas on rainy days and earn 30$ and in other days he can earn 24$ , if the probability of rain is 0.3% what will he expectation ?
another question was ,
central thuerium ,
and what is difference between constant and random variable ....
portion probability,
Total Marks 75 43 MCQ's and all MCQ's were from past papers of 2009 to 2011
Q:Not more than 70% people pay tax, formulate null and alternative hypothesis? 2 MarksQ:Define an UnBiased estimator? 2 MarksQ:Briefly Explain an experiment design? 2 MarksQ:Define an independent and dependent variable in regression? 2 MarksQ:For the data set, we find out five number summary result: Xo=200, Xm=500 and Q2=350, (3 Marks)Q:Discuss three properties of normal distribution? 3 MarksQ:The 90% confidence interval for the population mean is 11 to 20, interpret this result? 3 MarksQ:Define LSD test? 3 Marks some long questions and they are all with numerical values
Q:Correlation of Coefficient? 5 Marks
Q:Hypothesis Test? 5 MarksQ:Confidence Interval? 5 MarksQ:Mean and Variance of Sampling? 5 Marks
Q:Calculate Harmonic Mean of given data? 5 Marks
total question = 43 ...30 mcqs mostly from past papers rest were subjective
What is the difference between an outcome and an event? (2)
The mean of a Poisson distribution is 5 while its standard deviation is 4. Comment on it (2)
If an automobile is driven on the average no more than 16000 Km per year then formulate the null and alternative hypothesis (2)
If the population proportions are gives as: P1 = 0.4, P2 = 0.20
find sigma^2 Phat 1  Phat 2 , where n = 12.
How many parameters are associated with F distribution and what is the range of the distribution? (3)
Which of the following statement represents continuous data and discrete data? (5)
i) Number of shopes in a plaza.
ii) Hourly temperature recorded by whether bureau.
iii) Inches of rainfall in a city.
iv) Number of passengers carried by rail every year.
v) Height measurements of boys studying in a college.
The probability density function of a random variable X is given by :
f(x) 3x^2 ( 0 < or equal to x is < or equal to 1)
0 else where
calculate P(X < 0.5) (5)
Nine individual are chosen at random from a normal population and their weights in Kg are found to be 63, 64, 66, 67, 67, 68, 69, 69, 70 with mean weight 67 and standard deviation 2.345. Test the hypotheses c
Ho : mew = 66Kg. Using 5% level of significance. (5)
Two samples are drawn from two normal populations with the following information:
Lahore : n1 = 50, Xbar 1 = 14, s1 = 5
Karachi: n2 = 70, Xbar 2 = 12, s2 = 4
Construct the 95% confidence interval for the difference between the two population means. ( 5)
f(x)=3x(square) find p(0.2<x<0.9). solve it by integration
parameters of hypergeometric distributio ans (n,N,k)
range of chisquare distribution. ans(0 to infinity)
given xx(bar)=3,3,4,4,1,1 find out mead deviation. ans is o
what are steps involved in statistical research
find out upper quartile of standard normal distribution
there was a question of hypothesis testing of H0:variane1<variencs2. values of s1,s2,n1,n2 was given
define relative frequency
given 7,7,7,7,7,7,7 find standard deviation
given 1.1,1,1 find out standard deviation
anova is used to test variences of several mean.
in RCBD total blocks are 3, and treatement are 4. find out degrees of freedom for block,treatment and error
give 2 types of experimental design
F has ________ parameters.
mead deviation=___________*standard deviation
find CONFIDENCE INTERVAL.. s.d of population was givenmean was also given
96% CI find out krna tha
we use Zstatistics
IT was quiet Difficult ,
T distribution
3 question was from probability
husband and wife apply for same job and husband probablity for job is like this 9/3 and wife job probablity was something 3/5 like , what is the probablity that husband could get job and wife not?
another question was , a boy sell ambrellas on rainy days and earn 30$ and in other days he can earn 24$ , if the propability of rain is 0.3% what will he expectation ?
another question was , central thuerium , and waht is difference between constant and randon variable ....
zeada portion probability main sy tha , MCQ bhut repeate ho rhy thy ,
following are the qs from my paper
30 mcqs
qs from the topic of arithematic mean,if you prepare the topic from notes then u can easily attempt it (2 marks)
what is binomial distribution?
calculate the mean and standard deviation of sampling mean.
find the sample size if e=..,z=..,q=1p=...
find the class boundaries,relative frequency and relative percentage frequencies
goodness of fitness test
lots of qs from hypothesis testing
some data was given and asked to find the critical value of chisquare
a boy sell ambrellas on rainy days and earn 30$ and in other days he can earn 24$ , if the propability of rain is 0.3% what will he expectation ?
some data was given,find P(X>25)
1. A sample of siz n=3 drawn without replacement expirenment from a population N=5 items whose values ,0,2,3,6,7 draw possible samples
2. Calculate sampling error if sample is 102 and population mean is 100
3. A random sample of 12 observations is drawn then a normal distribution with =33.suppose that the sample means is found to be Find 96% confidence interval for
4. RCBD with MSE=200Measure of treatments=4 no of block=5 Then find value of LSD test for
5. Define Unbiased estimator
6. Quartile deviation
7. 5 number summery
STA301 Final Term Papers Spring 2012
Solutions of the Following Questions Required Urgently
4. find value of A in joint probabilty of f(x,y) for exp AYx/2 whereas 0<y<1, 0<x<1.
1.A random variable X is normally distributed with. Find the probability of x larger than 54.
2.A random sample of 50 observations is drawn from a normal distribution with. Suppose that the sample mean is found to be Find 95% confidence interval for
3.Find the value of chisquare from the following table.
Number of Customer Arrivals 
Observed Frequency o_{i} 
Expected Frequency e_{i} 

0 
84 
54.12 

1 
114 
108.28 

2 
70 
108.28 

3 
60 
72.16 

4 
32 
36.08 

5 
16 
14.44 

6 
15 
4.80 

7 
4 
1.36 

8 
5 
0.36 

9 or more 
0 
0.08 

4.Construct a stemandleaf display from the following data.
48, 31, 54, 37, 18, 64, 61, 43,
40, 71, 51, 12, 52, 65, 53, 42,
39, 62, 74, 48, 29, 67, 30, 49,
68, 35, 57, 26, 27, 58.
5.The p. d. f. of a r.v. is given
Calculate P(X<0.5)
6.If population proportions are given as:
Find ,where n = 10
7.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).
10.An exercise physiologist wants to demonstrate that the average person walks more than 800 km per year. State the null and alternative hypothesis.
husband and wife apply for same job and husband probability for job is like this 9/3 and wife job probability was something 3/5 like , what is the probability that husband could get job and wife not?
a boy sell umbrellas on rainy days and earn 30$ and in other days he can earn 24$ , if the probability of rain is 0.3% what will he expectation ?
Q:The 90% confidence interval for the population mean is 11 to 20, interpret this result? 3 MarksQ:Define LSD test? 3 Marks
If an automobile is driven on the average no more than 16000 Km per year then formulate the null and alternative hypothesis (2)
If the population proportions are gives as: P1 = 0.4, P2 = 0.20
find sigma^2 Phat 1  Phat 2 , where n = 12.
The probability density function of a random variable X is given by :
f(x) 3x^2 ( 0 < or equal to x is < or equal to 1)
0 else where
calculate P(X < 0.5) (5)
Nine individual are chosen at random from a normal population and their weights in Kg are found to be 63, 64, 66, 67, 67, 68, 69, 69, 70 with mean weight 67 and standard deviation 2.345. Test the hypotheses c
Ho : mew = 66Kg. Using 5% level of significance. (5)
Two samples are drawn from two normal populations with the following information:
Lahore : n1 = 50, Xbar 1 = 14, s1 = 5
Karachi: n2 = 70, Xbar 2 = 12, s2 = 4
Construct the 95% confidence interval for the difference between the two population means. ( 5)
find the critical value of chisquare
a boy sell ambrellas on rainy days and earn 30$ and in other days he can earn 24$ , if the propability of rain is 0.3% what will he expectation ?
some data was given,find P(X>25)
1. A sample of siz n=3 drawn without replacement expirenment from a population N=5 items whose values ,0,2,3,6,7 draw possible samples
2. Calculate sampling error if sample is 102 and population mean is 100
3. A random sample of 12 observations is drawn then a normal distribution with =33.suppose that the sample means is found to be Find 96% confidence interval for
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