Computing critical value and null hypothesis

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Reference no: EM1318393

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)

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?

 

Married men

Single men

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)

Reference no: EM1318393

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