a) For a T distribution with 27 degrees of freedom, find the area to the left of T =1.937 b) According to the National Hockey league front office, the current average age of players is 27 with standard deviation 2.1 years. If 10 players were randomly sampled, what is the probability that the average age of the sample might be less than 25.7? c) If a fair 6 sided dice is rolled 150 times, what is the probability of obtaining 35 fives? Note: You may answer this using binomial, normal, or confidence interval. d) GolfCorp is wondering whether equal amounts of people play golf on their new course on the 5 weekdays. A recent survey of 500 people determined that, for MTWRF, 89,83,98,107,123 played golf. This data is listed below. Determine the chi-square value and P-value, and state a conclusion using 5% significance level.