Construct a level α likelihood ratio test (lrt) to test h0 : µx − µy ≤ −δ h1 : µx − µy > −δ. q2(1pt): similarly construct a level α lrt to test h0 : µx − µy ≥ δ h1 : µx − µy < δ q3(2pt): based on the result of q1 and q2, construct a rejection region for testing the original hypothesis h0 : µx − µy ≤ −δ or µx − µy ≥ δ h1 : −δ < µx − µy < δ. q4(2pt): verify the rejection region found q3 is a level α test.

Select all the correct answers.natalie buys a new car. in the first month, the odometer on the car records 800 miles. from past experience, she expects to drive 900 miles per monthselect all the functions that can be used to find the number of miles, f(n), recorded on the odometer after n months.of(n) = 800n + 100f(n) = 9001 - 100f(n) = 900n + 800(1) = 800; }(n) = f(n - 1) + 900, for n > 2f(1) = 800; 1(n) = f(n − 1) + 100, for n > 2(1) = 900; }(n) = f(n - 1) + 800, for n > 2

Amir wants to proportionally increase the size of a photo to create a poster for his room. the size of the original photo is shown. complete the statement and then answer the question to represent ways that amir can increase the size of his photo.

Onnie is considering doing some long term investing with money that she inherited. she would like to have $50,000 at the end of 30 years. approximately how much money would lonnie need to put into an account earning 6% interest compounded annually in order to meet her goal?