Researchers randomly studied the relationship, if any, between male and female grade point averages in a population of seniors who were not intending to go to college after high school. They wanted to construct a 95% confidence interval for this study on 50 men and 50 women. The mean average gpa for the men was 2.9 with a standard deviation of 0.5 and the mean average gpa for the women was 3.1 with a standard deviation of 0.4. Construct the confidence interval for the difference of two sample means.

CHAPTER 1: INTRODUCTION

1.1 The Basics

Definition: statistics

Statistics is the science of collecting, organizing, interpreting, and learning from data.

COURSE GOAL:

Learn how to use statistical methods to translate data into knowledge so that we can investigate

questions in an objective manner. Here are some examples of questions we’ll have the tools to

answer before the end of the semester:

1. How can we estimate the percentage of American citizens who would vote for Hillary Clinton

if the presidential election were held today? How certain are we about our estimate?

2. What is the relationship between the amount of time spent studying and the score received

on an exam?

3. Is there an association between smoking and divorce? If so, does that mean smoking causes

divorce?

THREE ASPECTS OF STATISTICS

1. Design: Planning how to obtain data to answer the question of interest.

2. Description: Summarizing the data that are obtained.

3. Inference: Using sample data to learn about the population: make decisions and

predictions based on the data for answeri

Step-by-step explanation: