Simplify the expression using the laws of exponents. 24a2b5c3 9a5b3c6
a) 8b2 3a3c3
b) 8b2a3c3 3
c) 8a7b8c9 3
d) 8a2/5b5/3c1/2 3
e) 8a5/2b5/3c1/2 3

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: