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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
8
32
100
58
42
200
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