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The owner of a local ice cream shop was curious if his sales were dependent upon the temperature. So he decided to record his total

The owner of a local ice cream shop was curious if his sales were dependent upon the temperature. So he decided to record his total sales and the temperature for an entire year. In the table below is a random sample of 10 of those days where you can see the temperature inCfor that day as well as the total sales that the ice cream shop made.

Temp.C 12 41 17 33 23 27 25 38 30 31
Sales $592 $353 $482 $419 $526 $593 $509 $328 $560 $503

Use this data to carryout theappropriatehypothesis test at the =0.05level of significanceto determine if there is a linear relationship in the data.

Make sure to address all of the following in your response:

  • Include your hypotheses. (You can use the Canvas Math Equation editor by clicking on thexto include the appropriate symbols and notation)
  • Check any and all relevant assumptions and state how you determined whether or not they were satisfied (Be as specific as possible)
  • Specify your p-value rounded to 2 decimal places. (For example, if you had a p-value of 0.54321, then you would type 0.54)
  • Include the decision you are making regarding the null hypothesis and specify why you are making that decision.
  • Include a sentence conclusion in context of the given problem.

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