{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

# Normal error integral table of normal error integrals

This preview shows pages 7–15. Sign up to view the full content.

Normal Error Integral

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

View Full Document
Table of Normal Error Integrals: Appendix A of Taylor (p. 287) Normal Error Integral
t=1

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

View Full Document
t=1.47
How do we translate it into the language of the normal distribution? 2 2 2 ) ( , 2 1 σ π X x X e G = " 5 ' 5 2 1 = = x X " 2 2 1 = (a) higher than 5’10” means Δ x = 4 ½ ” above the mean height, 8 . 1 " 2 / " 4 / 2 1 2 1 = = Δ = x t

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

View Full Document
t = 1.8. The value found in the table is 92.81. What percentage of the women are taller than 5’10” ? 92.81 ? 3.6 The answer is (100 – 92.81)/2 3.6. 3.6% out of 2000 amounts to 72
The cutoff at 5’10” gives a t-value of 1.8 and 3.6% of women eligible to join. Now we want to have 7.2% of women being eligible. What do we do? 072 . 0 2 1 2 2 2 ) ( , = = h X x h X e G σ π We want to have 856 . 0 ) 072 . 0 2 100 ( , = = + t X t X X G

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

View Full Document
All the club has to do is lowering the bar by 1”, from 5’10” to 5’9”! 85.6 7.2 t -? 856 . 0 ) 072 . 0 2 100 ( ) ( , = = + x G t X t X X σ " 9 ' 5 " 2 46 . 1 " 5 ' 5 46 . 1 2 1 2 1 + = + = = t x h t
Typical situation - a sample (set) of N numeric values of the same parameter What are the things we usually want to know? Statistical analysis of data N x N x x x x i N = + + + = ... 2 1 = = N i i x x x N 1 2 2 ) ( 1 σ N x x x x x x ,..., , , , 4 3 2 1 = 1) The mean value: 2) The variance and standard deviation = = N i i x x x N 1 2 ) ( 1
This is the end of the preview. Sign up to access the rest of the document.

{[ snackBarMessage ]}

### Page7 / 15

Normal Error Integral Table of Normal Error Integrals...

This preview shows document pages 7 - 15. Sign up to view the full document.

View Full Document
Ask a homework question - tutors are online