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Q1) A random sample of 10 observations has been drawn from normal population, and sample variance is found to be s2 = 19.5. Find out the 98% confidence interval for σ2.

Q2) Random sample of n = 12 is drawn from population which is normally distributed, and sample variance s2 = 19.3. Use α = 0.025 in testing H0: σ2  ≤ 9.4 versus H1 : σ2 > 9.4.

Q3) A research organization has gathered the following data on household size and telephone ownership for 200 U.S. households. At 0.05 level, are two variables independent?  Based on chi-square table, what is the most correct statement which can be made about the p-value for the test?

Telephones owned

 

 

≤ 1

2

≥ 3

 

Persons in the house hold

≤2

49

18

13

80

 

3-4

40

27

21

88

 

≥5

11

13

8

32

 

 

100

58

42

200

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