Let X1​,X2​,…,Xn​ be a random sample from the uniform distribution on the interval (−θ,4θ), where θ>0 is an unknown parameter. Show that an approximate 95% confidence interval for θ is given by:
(X/ 1.5 + (9.8/√12n) ,1.5- X/9.8/√12n)
Hint: start by finding the method of moments estimator of θ and then find the mean and variance of that estimator. Submit your answer in the appropriate space in Crowdmark.