Let X1, X2 X3 X4 Xs be iid random variables from some distribution with mean u and variance o. Consider estimating u using the estimator i = 2X1 +3X3– 4X, Calculate the bias of a when estimating u assuming u = 2.1 and o² = 1. %3D Bias(i) = number (rtol=0.01, atol=1e-08) Notes: You can express your answer as a fraction or decimal. If you answer is in decimal, include at least 4 non-zero digits after the decimal point.

Let x be a random variable that represents red blood cell count (RBC) in millions of cells per cubic millimeter of whole blood. Then x has a distribution that is approximately normal, For the population of healthy female adults, suppose the mean of the x distribution is about 4.64, Suppose that a female patient has taken six laboratory blod tests over the past several months and that the RBC count data sent to the patient's doctor are as follows. 4.9 4.2 4.5 4.1 4.4 4.3 () Use a calculator with sample mean and standard deviation keys to find x and s. (Round your answers to two decimal places.) C) Do the given data indicate that the pooulation mean RBC count for this patient is lower than 4.647 Use a- 0.05. (a) What is the level of significance? State the nul and alternate hypotheses. O Hn: 4- 4.64; H: 4.64 O Ho: H> 4.64; H:u- 4.64 O Hn: H- 4.64; H: H 4.64 (b) What sampling distribution will you use? Explain the rationale for your choice of sampling distribution. O The standard normal,…

Consider the model (1-B)(1-0.2B)X_t = (1-0.5B)W_t   find the forecasts for one, two and three steps ahead and calculate the variance of the one, two, and three steps ahead forecast errors