Q. 1. (a) Is there any Relationship betweenconfidence interval and tests of Hypo
ID: 2953376 • Letter: Q
Question
Q. 1. (a) Is there any Relationship betweenconfidence interval and tests of Hypothesis?
Justify your answer.
Q. 1. (b) A random sample of size n is drawnfrom normal population with mean 5 and variance 100, If n=25, andt=2, what is values of ?
Q. 1. (c) In a random sample of 200 personshaving their lunch at the University cafeteria on meatless day itwas observed that 30 percent preferred vegetable dishes.
i. Find 95%confidence interval for p.
Q. 2. (a) An educator claims that the averageIQ of Pakistani college students is at most 110, and that in astudy made to test this claim 150 Pakistani college studentsselected at random had an average IQ of 111.1 with standarddeviation 7.2. Use a level of significance 0.01to test the claim ofthe educator.
Q.2. (b) 12 student were given intensivecoaching and 5 tests were conducted in a month. The scores of tests1 and 5 are given below. Do the scores from 1 to 5 show animprovement?
Marks in 1st test
50
42
51
26
35
42
60
41
70
55
62
38
Marks in 5th test
62
40
61
35
30
52
68
51
84
63
72
50
Q.2. (c) You are working as a purchase managerfor a company. Following information has been supplied to you bytwo manufactures of electric bulbs:
Company A
Company B
Mean life( hours)
1300
1288
Variance
6724
8649
Sample Size
100
100
Which brand of bulbs you will prefer to purchase if your desireis to take a risk of 5 percentage?
Marks in 1st test
50
42
51
26
35
42
60
41
70
55
62
38
Marks in 5th test
62
40
61
35
30
52
68
51
84
63
72
50
Explanation / Answer
Q. 1. (a) Is there any Relationship betweenconfidence interval and tests of Hypothesis?
Justify your answer.
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