Use the following scenario to answer the next four questions. At the stapler factory. red staplers are supposed to be 250 grams. The machine that makes the staplers has some variability, the distribution of the weights of the staplers is approximately normal with mean r! =250 grams and standard deviation a=32.5 grams. Suppose we choose an SRS of 20 staplers from this population and and calculate the mean weight i. 10. Calculate the mean and standard deviation of the sampling distribution of 5c. 11. Interpret the standard deviation from problem 10. I 12. Find the probability that the sample weight of the staples is under 230 grams 13. Suppose that the mean weight in a sample of n=20 is 5: =230 grams. Based on your answer to question 12, does this provide good evidence the machine is making staplers smaller than they should be? A. yes, this sample is unlikely to occur by chance if r1 =250 grams B. no. this sample is unlikely to occur by chance if F =250 grams 0. yes. this sample is likely to occur by chance if H =250 grams D. no, this sample is likely to occur by chance if #:250 grams 14. The distribution of money spent on prom dresses is heavily skewed right with a mean of .11 =$130 and o=$12.42. What would the shape of the sampling distribution be of .f for SRSs of size n=10? A. Approximately Normal B. Skewed Left, but less skewed than the population distribution C. Skewed Left, but more skewed than the population distribution D. Skewed Right, but less skewed than the population distribution E. Skewed Right, but more skewed than the population distribution