2(c)

Q. No

3(a)

3(b)

3(c)

Q. No

4(9)

4(b)

4(c)

X,=40 X,=70 ‏ول‎ 90
Sy = 3 52 = 6 S3 = 7
712 = 0.4 123 = 0.5 213 = 6
Use Linear Regression Model to estimate റു when X, = 30 and - 0
From a trivariate data set the following correlations are available

712 = 0. 86,712 = 0.65, 712 = 0.72, Find R123 8067123

Module 3

Write a short note on (a) Maximum Likelyhood Estimation (b) Estimation by Method of
Moments

Answer b orc

Let x, x2x3,..,X,be a random sample taken from a normal population with

mean (८ and variance 02. Find the maximum likelyhood estimation of the mean
and variance of the population

Let x, x2,x3,...,X,be a random sample taken from a normal population with
mean yu and variance ‏.2ه‎ Find the estimation of mean and variance of the
population by the method of moments

Module 4

A tyre company claims that the average life of tyre is at least 28000km. A
random sample of 40 tyres were tested and it is found that the mean life is
27463km with a standard deviation 1348 km. Test the claim of the claim at 1%
level of significance

Answer b orc

The following random samples are measurements of the heat-producing
capacity (in millions of calories per ton) of specimen of coal from two mines

Mine 1: 8260 8130 8350 8070 8340
Mine 2: 7950 7890 7900 8140 7920 7840

Use 1% level of significance to test whether the difference between the
means of these two samples is significant.

It is desired to determine whether there is more variability in the silver plating
done by company 1 than that done by company 2. If independent random
samples of size 12 of the two companies work yield 5, = 0.035 mil and

‎mil. Test whether the variability of company 1 is more than that of‏ 0.062 = وى
‎company 2 at 5% level of significance‏