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The temperature of the upper layer of ocean water is affected by sunlight and wind. There is often a very sharp difference in temperature between

The temperature of the upper layer of ocean water is affected by sunlight and wind. There is often a very sharp difference in temperature between the surface zone and the more stationary deep zone. The thermocline layer marks the abrupt drop-off in temperature. The following information was obtained in a study of temperature (x, measured in C) versus depth (y, measured in meters) above the thermocline layer in the Mediterranean Sea. You may assume that the assumptions for inference are valid.

Source of variation

Sum of squares

Degrees of Freedom

Mean square

Regression

108.54

1

108.34

Error

78.06

6

13.01

Total

186.60

7

y = 199.32 0.0840 x

(6 pts.) a) Conduct a model utility hypothesis test (F-test) to determine if there is an association between temperature and depth at a 5% significance level.

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