QUESTION 7 [Red Cross Red Shield] The distribution of the amount paid in health claims by Red Cross Red Shield (RCRS), a medical insurance company, on individual health insurance plans for college students has mean $500, median $400, and standard deviation $550. If we take a random sample of 100 participants, what is the standard deviation of their sample mean? O a. $55 O b. $550 O C $52.70 O d. $57.98 QUESTION 8 [Metacritic and Once Upon a Time... in Hollywood ] One of the movies that the Metacritic rated was Once Upon a Time... in Hollywood. Based on the data from Metacritic on April 21, 2020, there are n=36 reviews, the sample average score is 67.56, and the sample standard deviation is 9.65. 4 959% confidence interval for the true average score (u) of Once Upon a Time... in Hollywood is: O a. [64.29, 70.83] O b. [65.41, 72.71] O c. [63.42, 71.70] O d. [66.22, 68.90] QUESTION 9 Between the 999% and 959% confidence intervals of a certain parameter estimated from the same sample, which one is wider and why? a. The 999% interval since, in order to increase the confidence from the 959% to 999%, the margin of error should increase so that the intervals constructed using sampling will capture the true mean more often. b. The 959% interval since, in order to decrease the confidence from the 9946 to 959%, the margin of error should increase so that the intervals constructed using sampling will capture the true mean more often. O C. The 999% interval because it is a more useful interval. O d. The 959% interval because it is a less accurate interval