A project manager estimates that a project will take x hours to complete, where x > 100. The goal is for
the estimate to be within 10 hours of the time it will
actually take to complete the project. If the manager
meets the goal and it takes y hours to complete the
project, which of the following inequalities
represents the relationsk. ip between the estimated
time and the actual completion time?

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: