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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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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

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