The numbers of points that a player must accumulate to reach the next level of a video game form a geometric sequence where an is the number of points needed to complete
level n. You need 50,000 points to complete level 3 and 20,000,000 points to compete level
5.
The explicit rule for the geometric sequence is a n =
( 1
)" - 1

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: