5. Here are some questions about weather. If data is required, it can be found in the exam data file. For any questions involving data, assume the question to apply to the Data Generating Prooess [DGP] sitting behind the data. a. Based on the data on the 'Kingston Weamer' tab has this January's average daily minimum temperature been different from previous year's daily average of 14.4 C using alpha 2 5% b. Based on the data on the 'Kingston Weather' tab has this January's proportion of days with a maximum temperature above 1.6{2 been above the historic norm of 20%? c. This question does not use the data le: Assume the daily minimum temperature for Kingston in January is independently and normal distribution with mean = 10C, and a standard deviation of 3 (3. Some people like to skate on Lake Ontario [But I am not one ofthemll. I understand that if the ice is not safe to skate on, it will freeze hard enough to allow people to skate on it safely ifthe minimum temperature is below 8C for at least ve days in a row. Onoe safely frozen, it will stay that way as long minimum daily temperature remains below -5C. If temperature gets higher it becomes dangerous. 111e minimum temperature on New Year's Eve [Dec 31} was -6C and the ice was not safe for skating. i. What it the probability that we can skate safely on the morning of January 5? ii. Assuming we were able to safer skate on the morning ofJan 6, what is the probability wewill be able to skate on the morning of Jan 9