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.

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

2.Construct and Interpret the corresponding 95% Confidence Interval

3.Lets say we to conducted a hypothesis test using the following hypotheses:

H₀: _Windows - _Mac = 0

H_A: _Windows - _Mac 0

Based on your Confidence Interval from part (b)(so don't actually do the test), would you reject or fail to reject H₀? Explain why.