Download Last date to submit , on or before 25th september PART

PART-A
1.
2.
3.
4.
5.
6.
7.
8.
9.
10.
Last date to submit , on or before 25th september
ASSINMENT-II 11MA208
Write the measures of Kurtosis.
Write the mean of binomial distribution.
Write the r th moment about the origin.
Write the angle between two lines of regression.
Define skewness.
Give the range of the correlation coefficient r.
What will be the mean for the Binomial distribution?
Define correlation.
Comment on the following: For a binomial distribution mean = 7 and variance = 11.
Calculate y when x =70 from the data given below, given r = 0.8
mean
SD
11.
12.
13.
14.
15.
16.
17.
18.
19.
20.
21.
22.
23.
24.
25.
x
65
2.5
y
67
3.5
What do you mean by level of significance?
Rejecting a null hypothesis when it is true leads to Type-I error. (Say True or False)
The number of degree of freedom for chi-square computed for a 5x4 contigency table is
_______________.
Define standard error.
Define Type I and Type II errors.
The region which leads to the acceptance of null hypothesis is critical region. (Say True
or False)
Give the test statistic to test the significance difference between the sample mean and
population mean in the case of small sample test
Rejecting a null hypothesis when it is true leads to Type-I error. (Say True or False).
The mean score of a random sample of 60 students is 145 with a SD of 40. Find the
95% confidence limit for the population mean.
The means of 2 large samples 1000 and 2000 members are 67.5 and 68.0 inches, the
samples are taken from a population with s.D 2.5 inches. Find the test schedule.
State the assumptions made for student’s t – test.
The range if t-distribution is ___________.
The test statistic of F distribution is __________.
In a 5 x 4 contingency table the number of degrees of freedom is
The first two moments of a distribution about the value 2 of a variable are 1 and
16.Show that the mean is 3 and the variance is 15.
Part-B
26. The first four moments of a distribution about the value 4 of the variable are -1.5, 17, -30 and 108.
Find the moments about mean. Also calculate the mean and 1.and Calculate the rank colatirreon
coefficient for the following data of marks of students in two subjects.
Mark
in first
subject
Mark
in
second
subject
29
28
17
15
20
26
26
25
34
19
25
15
20
22
35
10
40
28
14
30
27. Calculate the correlation coefficient for the following data.
X: 55
56
58
59
60
60
62
Y: 35
38
37
39
44
43
44
28. Calculate the rank correlation coefficient for the following data.
X: 68
64
75
50
64
80
75
40
55
Y: 62
58
68
45
81
60
68
48
50
29.Heights of father and sons are given in centimeters
64
70
X: 150
152 155 157 160 161 164 166
Y: 154
156 158 159 160 162
161 164
Find the two lines of regression and calculate the expected average height of the son when
the height of the father is 154cm
30.The two regression lines are 3x + 2y = 26 and 6x + y = 31. Find the means x and y and
also the co-efficient of correlation between x and y.
31. A car hire firm has two cars which it hires out day by day. The number of demands for a car
on each day is distributed as poisson variate with mean 1.5.Calculate the proportion of days
on which (i) Neither car is used (ii) some demand is refused.
32.Fit a poisson distribution to the following data and calculate the theoretical Frequencies.
x:
0
1
2
3
4
f:
43
38
22
9
1
33.In a normal distribution 31% of the item are under 45 and 8% are over 64. Find the mean and
the standard deviation.
34. The following table gives a classification of a sample of 160 plants of their flower colour and
flatness of leaf.
Flat leaves
Curled leaves
Total
White flower
99
36
135
Red flower
20
5
25
Total
119
41
160
Test whether the flower colour is independent of the flatness of leaf.
35. During a countrywide investigation, the incidence of T.B was found to be 1% .In a college
400 strong 5 were affected, whereas in another 1200 strong, 10 were affected. Does this
indicate any significant difference?
36. A group of 10 rats fed on diet A and another group of 8 rats fed on a different diet B,
recorded diet B, recorded the following increase in weight
Diet A(gms):
5
6
8
1
12
4
3
9
6
10
Diet B(gms): 2 3
6
8
1
10
2
8
Find if the variance are significantly different.
37.A die was thrown 9000 times and of these 3220 yielded a 3 or 4. Is this consistent with
hypothesis that the die was unbiased?
38.Two random samples drawn from normal populations are 10, 6, 16, 17, 13, 12, 8, 14, 15, 9
and 7, 13, 22, 15, 12, 14, 18, 8, 21, 23, 10, 17. Test whether the two populations have the
same variance.
39.A machinist is making engine parts with axle diameter of 0.700 inch. A random sample of 10
parts shows a mean diameter of 2.74 inch with a standard deviation of 0.4 inch. On the basis
of this sample, would you say that the work is inferior?
40.The theory predicts the proportion of beans in the four groups A, B, C and D should be
9:3:3:1. In an experiment among 1600 beans, the numbers in the four groups were 882, 313,
287 and 118. Does the experimental result support the theory?
41. In one sample of 8 observations the sum of the squares of deviations of the sample values
from the sample mean was 84.4 and in the other sample of 10 observations it was 102.6.
Test whether this difference is significant at 5 percent level.
42.Random samples drawn from two countries gave the following data relating to the heights of
adult males:
Country A
Country B
Mean heights
67.42
67.25
Standard deviation
2.58
2.50
Number in samples
1000
1200
Is the difference between the means significant?
43.Two independent sample of sizes 7 and 9 have the following values:
Sample A :10
12
10 13
14
11
10
Sample B: 10
13
15 12
10
14
11
12
11
Test whether the difference between the mean is significant.
44.The number of automobile accidents per week are as follows: 12, 8, 20, 14, 10, 15, 6, 9, 4, 15.
Are there frequencies in agreement with the belief that accident conditions were the same
during
this 10 week period
45.In a locality of 100 persons the following observations are made reference to their educational
achievements
Middle School
High School
Male
:
10
15
Female :
25
10
Can you say that education depends on sex?