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THIRUVALLUVAR UNIVERSITY SERKKADU- VELLORE
DEPARTMENT OF MATHEMATICS PRACTICAL EXAMINATION MARCH -2018 BATCH-II CLASS : I B.SC MATHEMATICS SUBJECT : MATHEMATICAL STATISTICS I & II SUB.CODE : BPMA26
DATE : 04.04.2018 AN TIME : 3 HOURS MARKS: 75
ANSWER ANY THREE QUESTIONS (5*10=50) 1. Draw the Ogives (βless thanβ and βmore thanβ type) for this distribution and use it to determine the median. Marks No .of students
20-29 7
30-39 11
40-49 24
50-59 32
60-69 70-79 9 14
80-89 2
31-40 17
41-50 12
51-60 10
71-80 8
90-99 1
2. Find the Mode for the following data. Class frequency
1-10 3
11-20 7
21-30 13
61-70 8
81-90 6
91-100 6
3. Find the Standard deviation for the following data. Wages in (Rs) No. of person
70-80
80-90
90-100
100-110
110-120
120-130
130-140
140-150
12
18
35
42
50
45
20
8
4. In a survey of 200 boys, of which 75 intelligent ,4o had skilled fathers while 85 of the unintelligent boys has unskilled fathers . Do these figures support the hypothesis that skilled fathers have an intelligent boys. Use ππ test. Table value of ππ at 5 % level=3.84. 5. Random samples drawn from two places gave the following data relating to the heights of adult males. Place A Place B Mean height(inches) 68.50 68.58 SD of heights 2.5 3 Sample size 1200 1500 Test at 5% level that the mean height is the same for adults in the two places. (Table value of π=1.96). 6. The students are selected at random from a college and their heights are found to be 100,104,106,110,118,120,122,124,126 and 128cms.in the light of these data discuss the suggestion that the mean height of the students of the college is 110cm.The table value of π at 5%level for 8df is 2.306.
7. Two random samples drawn from normal population are Sample I 20 16 26 27 23 22 18 24 25 19 Sample II 27 33 42 35 32 34 38 28 41 43 30 37 Obtain estimates of variances of the population and test whether the two populations have the same variance .Table value of π for (11,9)df at 5%level=3.10. 8. The following figures relate to production in kgs. of three variables π¨, π©, πͺ of wheat sown on 12 plots. π¨
14
16
18
π©
14
13
15
22
πͺ 18 16 19 19 20 Is there any significant difference in the production of the varieties . Table value of π for (2,9) df at 5%level=4.26. βββββπ¨ππ πππ ππππβββββ
DEPARTMENT OF MATHEMATICS PRACTICAL EXAMINATION MARCH -2018 BATCH-II CLASS : I B.SC MATHEMATICS SUBJECT : MATHEMATICAL STATISTICS I & II SUB.CODE : BPMA26
DATE : 04.04.2018 AN TIME : 3 HOURS MARKS: 75
ANSWER ANY THREE QUESTIONS (5*10=50) 1. Draw the Ogives (βless thanβ and βmore thanβ type) for this distribution and use it to determine the median. Marks No .of students
20-29 7
30-39 11
40-49 24
50-59 32
60-69 70-79 9 14
80-89 2
31-40 17
41-50 12
51-60 10
71-80 8
90-99 1
2. Find the Mode for the following data. Class frequency
1-10 3
11-20 7
21-30 13
61-70 8
81-90 6
91-100 6
3. Find the Standard deviation for the following data. Wages in (Rs) No. of person
70-80
80-90
90-100
100-110
110-120
120-130
130-140
140-150
12
18
35
42
50
45
20
8
4. In a survey of 200 boys, of which 75 intelligent ,4o had skilled fathers while 85 of the unintelligent boys has unskilled fathers . Do these figures support the hypothesis that skilled fathers have an intelligent boys. Use ππ test. Table value of ππ at 5 % level=3.84. 5. Random samples drawn from two places gave the following data relating to the heights of adult males. Place A Place B Mean height(inches) 68.50 68.58 SD of heights 2.5 3 Sample size 1200 1500 Test at 5% level that the mean height is the same for adults in the two places. (Table value of π=1.96). 6. The students are selected at random from a college and their heights are found to be 100,104,106,110,118,120,122,124,126 and 128cms.in the light of these data discuss the suggestion that the mean height of the students of the college is 110cm.The table value of π at 5%level for 8df is 2.306.
7. Two random samples drawn from normal population are Sample I 20 16 26 27 23 22 18 24 25 19 Sample II 27 33 42 35 32 34 38 28 41 43 30 37 Obtain estimates of variances of the population and test whether the two populations have the same variance .Table value of π for (11,9)df at 5%level=3.10. 8. The following figures relate to production in kgs. of three variables π¨, π©, πͺ of wheat sown on 12 plots. π¨
14
16
18
π©
14
13
15
22
πͺ 18 16 19 19 20 Is there any significant difference in the production of the varieties . Table value of π for (2,9) df at 5%level=4.26. βββββπ¨ππ πππ ππππβββββ
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