Questions 2-4 are based on the following materials. A GT student was asked to find the weights of two balls, A and B, using a scale with random measurement errors. When the student measured one ball at a time, the weights of A and B were 3 bs and 4 lbs. However, if the student measured both balls simultaneously, then the total weight (A+B) was 6 Ibs. The poor student was confused, and decided to measure (A+B) one more time. The new observed weight of (A+B) is still 6 Ibs. For your information, the observed weights are summarized in the following table: A A+B First Time 3 6 Second Time 6 In addition, some cutoff values for the t-distribution might be useful below: v = 2 1 = 3 v = 4 V - 5 to.15,1 1.386 1.250 1.190 1.156 to.30,v 0.617 0.584 0.569 3.559 D Question 2 1 pts Based on the method of least squares, what are the estimated weights of balls A and B? Round your answer to the nearest tenth in the format of x.x). B- D Question 3 1 pts Find a 70% confidence interval on the weight of ball B (round to the nearest tenth in the format of X.x). D Question 4 1 pts Suppose the student plans to measure both balls simultaneously one more time. Find a 70% prediction interval on the new observed weight of (A+ B) (round to the nearest tenth in the format of x.x). Examples-1-1 (1).m CS.png SEP 17