Bozena is an ecologist who studies the change in the tiger population of Siberia over time. The relationship between the elapsed time t tt, in years, since Bozena started studying the population, and the number of tigers, N ( t ) N(t)N, left parenthesis, t, right parenthesis, is modeled by the following function: N(t)=537⋅(0.35)t2 Complete the following sentence about the rate of change in the tiger population. The population of tigers loses 65 % 65%65, percent of its size every years.

You are in charge of the customer service phone line with many employees. at the end of each phone callthe customers are asked to rate their service from 1 to 5 stars, with 5 being the best. you find the averagerating for 20 randomly selected employees and decide you want to improve the ratings so you require thoseemployees to go through a new training program. you then wait a week and find the new average rating foreach employee. the average change is an increase in 1.3 stars with a standard devation of .9 stars.(a) is this data paired or not paired? (b) what are the null and alternative hypothesis being tested? (c) what is the t-statistic you would use? write the general formula and the final calculation.(d) sketch a t-distribution, label your t-statistic and the probability you would be interested in: