3. (10 points) true or false? justify your answers. (a) (5 points) there exists a 4 x 3 matrix a of rank 3 such that a1 (b) (5 points) there exists a 3 x 4 matrix a of rank 2 such that

People end up tossing 12% of what they buy at the grocery store. assume this is the true population proportion and that you plan to take a sample survey of 540 grocery shoppers to further investigate their behavior. a. calculate the mean and the standard error for the sample proportion p. b. describe the sampling distribution of p in part a. draw a graph of this probability distribution with its mean and standard deviation. what is the probability that your survey will provide a sample proportion more than 15%? c. d. population proportion? what is the probability that your survey will provide a sample proportion within + 0.03 of the