slides8_v1

# Utku suleymanoglu umich interval estimation 10 17

This preview shows page 1. Sign up to view the full content.

This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: standard error of the mean. Utku Suleymanoglu (UMich) Interval Estimation s √ n is estimated 9 / 17 Interval Estimation of Population Mean Student’s t-distribution is another continuous probability distribution. It looks a lot like the standard normal distribution with symmetricity and mean at zero. It has a single parameter, called its degrees of freedom. As df increases, it converges to N (0, 1). We will rely on another table to calculate probabilities for it. Utku Suleymanoglu (UMich) Interval Estimation 10 / 17 Interval Estimation of Population Mean Utku Suleymanoglu (UMich) Interval Estimation 11 / 17 Interval Estimation of Population Mean CI for µ, Case 2: Normal Population, σ unknown If population has a normal distribution and σ is unknown, but sample standard deviation,s , is known, a 100(1 − α)% conﬁdence interval for µ can be constructed via: √ x ± tα/2,n−1 s / n ¯ where tα/2,n−1 is t-value with n − 1 degrees of freedom and α/2 upper tail probability. Notice now...
View Full Document

## This note was uploaded on 03/17/2014 for the course ECON 404 taught by Professor Staff during the Spring '08 term at University of Michigan.

Ask a homework question - tutors are online