418-SingleSampleT-ExtraPractice

# 418-SingleSampleT-ExtraPractice - Individual 9 The Sampling...

This preview shows pages 1–3. Sign up to view the full content.

1 The t-statistic: single sample (chapter 7) Assumptions of Single Sample t-test Random selection of observations Independent observations within the sample Normally distributed population Interval or ratio data T-test Extra Practice We have a random sample of 20 fifth grade pupils who can do 15 pushups on the average, with a standard deviation of 9, after completing a special physical education program. Does this value of 15 differ significantly from the population value of 12?

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
2 Single Sample t-test (pushups) Given: Population = All 5th graders Population Mean Pushups = 12 Population SD = UNKNOWN Our sample n = 20 Sample Mean Pushups = 15 Sample SD = 9 State Hypotheses: H a : X sample > μ population H 0 : X sample μ population Comparing a Sample to the Population
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: Individual Scores 12 15 ? 9 The Sampling Distribution Number of Samples = ∞ n of Samples = n of sample being tested (20) Sample Means 3 Comparing a Sample to the Population Rejection Region (p=.025) probability of Type I error = 2.5% H a : Sample belongs to a different population (i.e., X ʺ μ or X > μ ) H : Sample belongs to the same population (i.e., X = μ ) Comparing a Sample to a Population with Unknown Variance t = (15 - 12) / 2.01 = 3 / 2.01 = 1.49 s X = s / ˽± = 9 / 4.47 = = 2.01 Rejection Region (p=.025) probability of Type I error = 2.5% 2.093 1.49 H a : Sample belongs to a different population (i.e., X > μ ) H : Sample belongs to the same population (i.e., X = μ ) t = X - μ s X...
View Full Document

{[ snackBarMessage ]}

### Page1 / 3

418-SingleSampleT-ExtraPractice - Individual 9 The Sampling...

This preview shows document pages 1 - 3. Sign up to view the full document.

View Full Document
Ask a homework question - tutors are online