Intermediate Part  II (12th Class) Examination Session 2012-2014 and onward
Time: 3:10 Hours Marks= 83
Section- I
Q. No:-2
Write short answer of any eight questions of the following (8x2=16)
(i) Define normal distribution
(ii) Write down 3 properties of normal distribution
(iii) What is standard normal variate
(iv) Define the point of inflection
(v) In a normal distribution µ4 = 243 Find Parameter σ
(vi) Define an estimator
(vii) Define degree of freedom
(viii) Define null Hypothesis
(ix) What is the formula of Z for large sample size & σ is known

(xi) Differentiate between hardware and software
(xii) What is date processing
Q. No. 3
Write short answer of any eight question of the following (8x2=16)
(i) Differentiate between regression and correlation
(ii) What in meant by scatter diagram
(iii) Write down the formula of correlation coefficient
(iv) Write down the proportion of r
If byx = -1.6 and bxy = 0.4 Find the value of r
(vii) Define Probability sampling
(viii) Explain the term sampling frame
(ix) Write down the properties of difference between two means.
(x) Define the Standard error
SECTION  II
Note:- Attempt any Three question from this section (8x3=24)

Q No. 5
(a) Let X is normally distributed with
Find area when x fall
(i) between 115 and 134
(ii) Above 122
(b) In a normal distribution M.D = 3.9895 then find standard deviation, second and fourth moment
of the normal distribution
(b) If mean and variance of a population are 5 and 2.15 respectively. What would be the standard
error of mean of sample of size 4 are drawn with replacement
Q. No. 7
(a) Find 90% confidence interval for the mean of a normal distribution of σ= 2 and a sample
of size 8 gave the value 9, 14, 10, 12, 7, 13, 11, 12
(b) A random sample of 25 value gives the average of 83 this sample be regarded as drawn
from the normal population with mean from the normal population with mean 80 and
standard deviation 7 at 5% level of significance.
Q. No. 8
(a) Compute the correlation efficient of the following data
X: 21 22 23 24 25
Y: 25 24 23 22 26
(b) Fit a regression line to the given data
X: 25 30 40 50 65
Y: 6 5 4 8 7