×

### Let's log you in.

or

Don't have a StudySoup account? Create one here!

×

or

## Chapter 7- The Single Sample t-Test

by: T'Keyah Jones

6

0

3

# Chapter 7- The Single Sample t-Test Psy 202

Marketplace > University of Mississippi > Psychology (PSYC) > Psy 202 > Chapter 7 The Single Sample t Test
T'Keyah Jones
OleMiss
GPA 3.0

Get a free preview of these Notes, just enter your email below.

×
Unlock Preview

These notes cover the beginning portion of The Single Sample t-Test.
COURSE
Elementary Statistics
PROF.
Dr. Melinda Redding
TYPE
Class Notes
PAGES
3
WORDS
CONCEPTS
Psychology, elementary statistics
KARMA
25 ?

## Popular in Psychology (PSYC)

This 3 page Class Notes was uploaded by T'Keyah Jones on Thursday September 29, 2016. The Class Notes belongs to Psy 202 at University of Mississippi taught by Dr. Melinda Redding in Fall 2016. Since its upload, it has received 6 views. For similar materials see Elementary Statistics in Psychology (PSYC) at University of Mississippi.

×

## Reviews for Chapter 7- The Single Sample t-Test

×

×

### What is Karma?

#### You can buy or earn more Karma at anytime and redeem it for class notes, study guides, flashcards, and more!

Date Created: 09/29/16
September 29, 2016 a) Single Sample t-Test Used to compare a sample mean to a population mean when the standard deviation of the population is unknown The steps are the same used for the z-test b) Going from “z” to “t” To compute a z-score, the population standard deviation (or variance) must be known. Estimated Standard Error The sample deviation is substituted for the population standard deviation in the calculation Using this in the denominator of the test statistics led to the t-distribution S M Estimated standard error of means Formula: _S_ √N M Standard error of means c) t-Statistics Used to determine the number of standard deviations in a t-distribution that a sample deviates from the mean value or differences stated in the null The t-distribution is identical to the z-distribution Small sample sizes equal larger critical values t= M - μ S √N d) Degrees of Freedom Symbol: df Formula: N-1 As the df of the sample variance increases, the shape of the t-distribution changes As the sample size increases, the sample variance more closely resembles the population variance To Know Critical Values 1. Know the degree of freedom 2. Determine the type of tail (One-tailed or Two-tailed) 3. Know the alpha level e) Examples M= 62,000 N= 16 μ= 66,000 S= 12,000 Step 1: Determine Type of Test Single sample t-test because we want to compare the mean from a sample with an unknown standard deviation Step 2: Assumptions 1. Random sample 2. Independent Observation 3. Normal distribution (dependent variable) Step 3: Hypotheses H 0 μFISH 66,000 ; pollution does not have an effect H 1 μFISH 66,000 ; pollution does have an effect Step 4: Decision Rule = .05 df= 15 (16-1) Critical value: 1.753 (One-tail test on chart) Step 5: Calculations t= M - μ t= 62,000 - 66,000 = -1.333 S_ 12,000 √N √16 Step 6: Interpret We fail to reject the null because -1.333 is not in the tail of the distribution; there is not enough evidence to suggest that the polluted lakes have significantly fewer fish Type II error Example 2 N= 14 M= 42 S= 6.8 μ= 36 Step 1 t-test because we want to compare the mean from a sample to the mean of the general population with an unknown standard deviation Step 2 Refer to 1 example Step 3 H 0 μ KILLERS6; there is no significant difference in introversion scores H 1 μKILLERS36; there is a significant difference in introversion scores Step 4 = .05 df= 13 (14-1) Critical value: 2.160 (Two-tailed) Step 5 t= M - μ t= 42 -36 = 3.302 S_ 6.8 √N √14 Step 6 We will reject the null because 3.302 is in the tail of the distribution; serial killers have significantly different introversion scores than the general population

×

×

### BOOM! Enjoy Your Free Notes!

×

Looks like you've already subscribed to StudySoup, you won't need to purchase another subscription to get this material. To access this material simply click 'View Full Document'

## Why people love StudySoup

Jim McGreen Ohio University

#### "Knowing I can count on the Elite Notetaker in my class allows me to focus on what the professor is saying instead of just scribbling notes the whole time and falling behind."

Allison Fischer University of Alabama

#### "I signed up to be an Elite Notetaker with 2 of my sorority sisters this semester. We just posted our notes weekly and were each making over \$600 per month. I LOVE StudySoup!"

Steve Martinelli UC Los Angeles

#### "There's no way I would have passed my Organic Chemistry class this semester without the notes and study guides I got from StudySoup."

Parker Thompson 500 Startups

#### "It's a great way for students to improve their educational experience and it seemed like a product that everybody wants, so all the people participating are winning."

Become an Elite Notetaker and start selling your notes online!
×

### Refund Policy

#### STUDYSOUP CANCELLATION POLICY

All subscriptions to StudySoup are paid in full at the time of subscribing. To change your credit card information or to cancel your subscription, go to "Edit Settings". All credit card information will be available there. If you should decide to cancel your subscription, it will continue to be valid until the next payment period, as all payments for the current period were made in advance. For special circumstances, please email support@studysoup.com

#### STUDYSOUP REFUND POLICY

StudySoup has more than 1 million course-specific study resources to help students study smarter. If you’re having trouble finding what you’re looking for, our customer support team can help you find what you need! Feel free to contact them here: support@studysoup.com

Recurring Subscriptions: If you have canceled your recurring subscription on the day of renewal and have not downloaded any documents, you may request a refund by submitting an email to support@studysoup.com