Question

Quiz: Module 2 Quiz This Question: 1 pt 9 of 10 (8 complete) Consider the population described by the probability distribution shown in the table. The random variable x is observed twice. If these observations are independen probabilities are shown in the accompanying table Complete parts a through e below. DI! Click the icon to view the table. Find the sampling distribution of s? Type the answers in ascending order fors? HP P( 0.22 0.32 0.24 Type integers or decimals.) 0.10 0.00 debi b. Find the population variance 02- Type an integer or decimal rounded to two decimal places needed c. Determine s based estimator of a Select the correct choice below and necessary, fill in the answer box to complete your answer (Type an integer order ed to two decimal places needed O A The stations an unbesed estimator of because which not equal to the population van de OB. The stat e d estimator of beaute which to the variance ultimi OC. The statsbased mater of Bus Er whose to the con variance - Purchas OD The status based of which the new d. Find the sampling distribution of the sample standard de son Courte Click to select your answers

Answer 1

b. o2 = E(S) = 0*0.22+0.5*0.32+2+0.24+ 4.5*0.16 +8*0.06 = 1.84 c. Option B. The statistic s? is an unbiased estimator of op because E(S) = 1.84 which is equal to the population variance o?

S 0 P(s) 0.22 0.707 0.32 1.414 2.121 2.828 0.24 0.16 0.06 e. E(S) = 0*0.22+0.707*0.32+1.414*0.24+2.121*0.16+2.828*0.06 = 1.075 Option D: The statistic sis a biased estimator of o because E(s) = 1.075 which is not equal to the population standard deviation o.