Neil started a stamp collection with 12 stamps. every week, he adds 4 more stamps to the collection. which function f represents the relationship between the number of stamps (s) and the number of weeks (w)?

s = f(w) = 12 + 4w

w = f(s) = 12s + 4

s = f(w) = 12 + 4s

w = f(s) = 12w + s

s = f(w) = s – 12

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: