Question: Answer the following 3 questions. Show your work (or explain your calculations) . Setup : A new college student wants to purchase a new laptop

Answer the following 3 questions.Show your work (or explain your calculations).

Setup: A new college student wants to purchase a new laptop and is deciding whether to buy a Windows laptop or a Mac laptop. He is open to any model of laptop and wants to compare prices of Windows vs Macs. Assume prices of Windows and Mac laptops are normally distributed.

From a random sample of 12 Windows laptops, there was an average price of $760 and standard deviation of $130. From a random sample of 9 Mac laptops, there was an average price of $1,100 and a standard deviation of $200.

Determine if it is appropriate to construct a Confidence Interval for the difference in prices?

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