Una de las opciones que están evaluando consiste en un crédito hipotecario con cuotas mensuales de $450.000 para una casa cercana al trabajo de Inés, con lo que anula su gasto en transporte pero aumenta el de Carlos por el mismo concepto en 40%. ¿en qué porcentaje variarán los gastos? a) Disminuyen en un 3,1% b) Disminuyen en un 1% c) No varían los gastos d) Aumentan en un 5,6% e) Aumentan en un 10%

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: