Normal distribution, random variable and confidence interval question

jonineedshelp

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So I don't know where to being when it comes to this problem. I have the solution, but it doesn't help me very much. Any help would be appreciated.


Let X ∈ N(μX,σ) and Y ∈ N(μY,σ). We make 1010 observations on X and receive that xˉ=19.5 och s^2_X=4.06. We also make 1010 observations on Y and receive that yˉ=13.9 och s^2_Y=3.48. We assume that all observations are a result of random variables, all of which are independent. Come up with a lower limited confidence interval for the difference between μX−μY, which has a confidence interval of 90%.


Answer: (4.45,∞)
 
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