MTH 245 Statistics I (3 cr.)
Presents an overview of statistics, including descriptive statistics, elementary probability, probability distributions, estimation, hypothesis testing, correlation, and linear regression. Replaces MTH 240 and MTH 241. (Credit will not be awarded for both MTH 155 and MTH 245.) Prerequisite: Placement in MTH 154 or completion of MTH 154 or MTH 161 or equivalent with a grade of C or better. Lecture 3 hours per week.
Major Topics:
Graphical and Numerical Data Analysis
Sampling/Experimental Design
Probability Concepts
Univariate Statistical Inference
One- and Two-Sample Statistical Inference
Correlation and Regression
Technology Application
Objectives and Skills:
Find Continuous Random Variable
Construct Standard Normal Distribution
Determine Probability Computations for General Normal Random Variables
Find Areas of Tails of Distribution
Find Mean and Standard Deviation of the Sample Mean
Find Sampling Distribution of the Sample Mean
Use Central Limit Theorem
Learn the concept of an interval estimate of the population mean.
Apply formulas for a confidence interval for a population mean.
Learn Student’s t-distribution.
Apply additional formulas for a confidence interval for a population mean.
Apply formula for a confidence interval for a population proportion.
Apply formulas for estimating the size sample needed to construct a confidence interval for a population mean or proportion that meets given criteria.
Understand the logical framework of tests of hypotheses.
Learn basic terminology connected with hypothesis testing.
Learn fundamental facts about hypothesis testing.
Apply five-step test procedure for a test of hypotheses concerning a population mean when the sample size is large.
Interpret the result of a test of hypotheses in the context of the original narrated situation.
Determine observed significance of a test.
Compute observed significance of a test.
Apply the p-value approach to hypothesis testing.
Apply the five-step test procedure for test of hypotheses concerning a population mean when the sample size is small.
Apply the five-step critical value test procedure for test of hypotheses concerning a population proportion.
Apply the five-step p-value test procedure for test of hypotheses concerning a population proportion.
Compute linear correlation coefficient
Construct Population regression line
Construct the least squares regression line
Compute the sum of the squared errors
Compute coefficient of determination