ioe265f11-Lec19 - Lec 19- Hypothesis Testing - Single...

Info iconThis preview shows pages 1–5. Sign up to view the full content.

View Full Document Right Arrow Icon
Lec 19- Hypothesis Testing - Single Sample IOE 265 F11 1 1 Single Sample Tests: Population Mean and Proportion 2 Topics Tests of Single Population Mean I. Normal Population w/ known II. Large Sample Tests III. Normal Population w/ unknown Tests of Single Population Proportion Large Sample Test Small Sample Test
Background image of page 1

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

View Full DocumentRight Arrow Icon
Lec 19- Hypothesis Testing - Single Sample IOE 265 F11 2 3 Single Population Mean Tests Identifying appropriate test statistic Case USE Test Statistic Formula I known , and normal population z o II large sample, unknown knowing if normal not req'd (CLT) z o III unknown , but normal population required t o Tests of Single Population Mean n X o / S / / 4 Case I: Mean -- Normal, known Null Hypothesis: Test Statistic: Alt Hypothesis Reject Region 2 / 2 / or : : : z Ha H o :   / z o =
Background image of page 2
Lec 19- Hypothesis Testing - Single Sample IOE 265 F11 3 5 Case II: Mean -- Large Sample Large Sample - rule of thumb n > 40 -- for large samples, S will usually be close to . Null Hypothesis: Test Statistic: Alt Hypothesis Reject Region 2 / 2 / o o o o or : : : z Ha o H o :   n X / 6 Case III: Mean -- Normal, unknown Null Hypothesis: Test Statistic: Alt Hypothesis Reject Region 1 , 1 , 2 / 1 , 2 / or : 1 , : : n o o o o n o o t t t t Ha n t t Ha t t Ha n H o :   n S X t o o /
Background image of page 3

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

View Full DocumentRight Arrow Icon
Lec 19- Hypothesis Testing - Single Sample IOE 265 F11 4 7 Examples: Piston Rings A manufacturer of piston rings must produce rings with a target = 80.995 mm. ( Assume Normality ) Suppose you take a sample of 15 rings and obtain a mean = 80.996 and sample standard deviation of 0.0019 .
Background image of page 4
Image of page 5
This is the end of the preview. Sign up to access the rest of the document.

This note was uploaded on 01/05/2012 for the course IOE 265 taught by Professor Jin during the Fall '07 term at University of Michigan.

Page1 / 11

ioe265f11-Lec19 - Lec 19- Hypothesis Testing - Single...

This preview shows document pages 1 - 5. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online