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
|
|
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≤ 1
|
2
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≥ 3
|
|
Persons in the house hold
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≤2
|
49
|
18
|
13
|
80
|
|
3-4
|
40
|
27
|
21
|
88
|
|
≥5
|
11
|
13
|
8
|
32
|
|
|
100
|
58
|
42
|
200
|