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STAT 200 : All Fresh Seafood is a wholesale fish company based on the east coast of the U.S. Catalina Offshore Products is a wholesale fish company based on the west coast of the U.S.
STAT 200 : All Fresh Seafood is a wholesale fish company based on the east coast of the U.S. Catalina Offshore Products is a wholesale fish company based on the west coast of the U.S.: Expert Solutions for Success
All Fresh Seafood is a wholesale fish company based on the east coast of the U.S. Catalina Offshore Products is a wholesale fish company based on the west coast of the U.S. Table M contains prices from both companies for specific fish types. Do the data provide enough evidence to show that a west coast fish wholesaler is more expensive than an east coast wholesaler? Test at the 5% level.
Table M: Wholesale Prices of Fish in Dollars
|
Fish |
All Fresh Seafood Prices |
Catalina Offshore Products Prices |
|
Cod |
19.99 |
17.99 |
|
Tilapi |
16.00 |
13.99 |
|
Farmed Salmon |
19.99 |
22.99 |
|
Organic Salmon |
24.99 |
24.99 |
|
Grouper Fillet |
29.99 |
19.99 |
|
Tuna |
28.99 |
31.99 |
Answer
This is a Dependent Sample t-test for Difference of Means. We are given subscript 1 and 2 for East and West coast fishery respectively. The hypotheses statements are
We shall use the Student's t distribution. We assume that d has an approximately normal distribution.
The statistical analysis of data pairs gives the following values
From the t-distribution table, the p-value for t = 0.6808 at 5 dof is 0.2631
Since p-value is more than level of significance, that is 0.2631>0.05, we fail to reject the null hypothesis, and conclude that there is not sufficient evidence to support the claim that west coast fish wholesalers are more expensive than east coast wholesalers.
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