1. Maribel surveyed 55 people to find out their favorite types of music. The results are shown in
the bar graph
Favorite Types of Music
Number of People
18
16
14
12
10
8
6
4
2
0
Country
Rock
Jazz Opera
Type of Music
a. What percent of the people like Country and Opera combined?

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: