Suppose X1,..., Xn are iid with pdf f(r; 0) - 0

Before every​ flight, the pilot must verify that the total weight of the load is less than the maximum allowable load for the aircraft. The aircraft can carry 42 ​passengers, and a flight has fuel and baggage that allows for a total passenger load of 7,056 lb. The pilot sees that the plane is full and all passengers are men. The aircraft will be overloaded if the mean weight of the passengers is greater than 7,056 lb42=168 lb. What is the probability that the aircraft is​ overloaded? Should the pilot take any action to correct for an overloaded​ aircraft? Assume that weights of men are normally distributed with a mean of 178.3 lb and a standard deviation of 36.8.

Can you please give me two sets of data where the shape distribution is different but the boxplot is identical?

Ms Best is a high school math teacher. Ms. Best has two sections of geometry. She teaches one section using a traditional approach. The second section Ms Best uses a tasked-based learning approach. The table below summarizes the descriptive statistics for the final exam. Ms Best concludes that the tasked-based learning approach students consistently scored higher than the traditional students. Is Ms Best conclusion correct? Why? Be very thorough in your response and use all the statistics reported and their interpretation to support your answer. Tasked-Based Traditional Learning Mean 73.1 Mean 83.5 Median 73.0 Median 82.0 Mode 73.0 Mode 83.0 Standard Standard 17.5 13.2 Deviation Deviation