Independent random samples taken at two airport newsstands revealed the following information concerning the amount of money spent per customer. We want to determine if, on average, customers at Hartsfield Jackson spent more than customers at Dallas/Fort Worth. Use the 0.05 level of significance. Let ATL be Population 1.               pop1         ATL DFW   Sample Size   30 30   Average Purchase $15.20 $12.60   Population Standard Deviation 5 5

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3. Independent random samples taken at two airport newsstands revealed the following information concerning the amount of money spent per customer. We want to determine if, on average, customers at Hartsfield Jackson spent more than customers at Dallas/Fort Worth. Use the 0.05 level of significance. Let ATL be Population 1.
         
    pop1    
    ATL DFW  
Sample Size   30 30  
Average Purchase $15.20 $12.60  
Population Standard Deviation 5 5  
Expert Solution
Step 1

Given,

For ATL  : x̅1 = 15.20, s1 = 5, n1 = 30

For DFW : x̅2 = 12.60, s2 = 5, n2 = 30

a)

Null and Alternative hypothesis:

Ho : µ1 = µ2

H1 : µ1 > µ2

Pooled variance :

S²p = ((n1-1)*s1² + (n2-1)*s2² )/(n1+n2-2)

= ((30-1)*5² + (30-1)*5²) / (30+30-2) = 25

 

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