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
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
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
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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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