Q1) Sociologist wishes to find out if life expectancy of people in Africa is less than life expectancy of people in Asia. Data obtained is listed in the table below
|
|
Africa (1)
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Asia (2)
|
|
|
55.3
|
65.2
|
|
σ
|
8.1
|
9.3
|
|
n
|
53
|
42
|
1) What is the null hypothesis? Use α =0.05
a) H0 : µ1 ≥ µ2
b) H0 : µ1 = µ2
c) H0 : µ1 ≤ µ2
d) H0 : µ1 ≠ µ2
2) Compute critical value. Use α =0.05
a) -2.33
b) -2.58
c) -1.96
d) -1.645
Q3) A marketing firm asked random set of married and single men as to how much they were eager to spend for vacation. At α = .05, is a difference in two amounts?
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Married men
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Single men
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|
Sample size
|
50
|
70
|
|
Mean spending
|
260
|
185
|
|
Sample variance
|
4500
|
9000
|
a) Yes because the test value 5.07 is outside interval (-1.96, 1.96)
b) No, as the test value 2.00 is outside interval (-1.96, 1.96)
c) No, as the test value 0.34 is inside interval (-1.96, 1.96)
d)Yes, as the test value 2.00 is inside interval (-1.96, 1.96)