Suppose a company finds that the mean number of sick days used per year by their employees is 7 days with a standard deviation of 2 days. In a random sample of 180 employees the mean number of sick days used per year was 6.8 days. (a) Give the parameter and the statistic. Don't forget that your answer should be in contert! (b) What is the probability that in a sample of 180 employees the mean number of sick days used per year is less than or equal to 6.8 days? (c) Suppose the company enacts a new policy where it pays time and a half for each unused sick day. A year after the policy was in place, the company took a random sample of 100 employees and found that the mean number of sick days used is 6. Does it seem like the policy affected the employees use of sick days? Be sure to mathematically support your claim!

Carla was trying to decide what to do saturday evening. she has $100 available to spend for the evening. she has narrowed her choices down to these events: braves game, a concert of an artist she likes, or the georgia aquarium. admission to the braves game is $25, hot dogs cost $10, sodas cost $5. the concert costs $25 for admission, $20 for a souvernir t-shirt, and $10 for a soda. the georgia aquarium has the show of a lifetime with an all you can eat and drink that costs $100. carla does not want to take any driving chances, so in addition to the cost of the aquarium, she will also need to pay for her uber/lyft, which is $15 each way. which option should carla choose if she wants to spend the least? based on that choice, what then is carla's oppotunity cost? fully explain your answer in at least one paragraph.