6/19/2009
Some material from ppt slides for Statistics for Managers Using Microsoft Excel, 5e © 2008 Pearson Prentice-Hall, Inc.
The Standard Normal Distribution • ‘Bell Shaped’ & Symmetric • The mean, μ, is always 0 • The standard deviation, σ , is always 1 To find P(z 30 1.
Define the NULL & ALT hypotheses
ONE-SAMPLE HYPOTHESIS TESTING For the population mean, n > 30 1.
Define the NULL & ALT hypotheses
2.
Calculate the test statistics
One- or two-tailed? 2.
Calculate the test statistics zOBS = STANDARDIZE(x, , / n)
One- or two-tailed?
zOBS, zCRIT, p-value
zOBS = STANDARDIZE(x, , / n)
zCRIT = NORMSINV(1- /# of tails)
zOBS, zCRIT, p-value
zCRIT = NORMSINV(1- /# of tails)
p-value =(# of tails) * (1-NORMSDIST(|zOBS|))
p-value =(# of tails) * (1-NORMSDIST(|zOBS|))
Make a decision
3.
|zOBS| > zCRIT? p-value < α-level?
…then REJECT the NULL
4
6/19/2009
ONE-SAMPLE HYPOTHESIS TESTING For the population mean, n < 30 Define the NULL & ALT hypotheses
1.
ONE-SAMPLE HYPOTHESIS TESTING For the population proportion Define the NULL & ALT hypotheses
1. One- or two-tailed?
One- or two-tailed?
NULL: = 0.a ALT: ≠ 0.a ----------------------------------------------------------------NULL: ≥ 0.a NULL: ≤ 0.a ALT: < 0.a ALT: > 0.a
Calculate the test statistics
2.
tOBS, tCRIT, p-value
Use t-test! (watch the video lecture & video example)
Make a decision
3.
|tOBS| > tCRIT? p-value < α-level?
…then REJECT the NULL
ONE-SAMPLE HYPOTHESIS TESTING
ONE-SAMPLE HYPOTHESIS TESTING For the population proportion
1.
Define the NULL & ALT hypotheses
For the population proportion 1.
Define the NULL & ALT hypotheses
2.
Calculate the test statistics
One- or two-tailed? 2.
Calculate the test statistics (1
zOBS = STANDARDIZE(p, ,
One- or two-tailed?
zOBS, zCRIT, p-value
)
(1
n )
zOBS = STANDARDIZE(p, ,
zCRIT = NORMSINV(1- /# of tails)
zOBS, zCRIT, p-value
) n )
zCRIT = NORMSINV(1- /# of tails)
p-value =(# of tails) * (1-NORMSDIST(|zOBS|))
p-value =(# of tails) * (1-NORMSDIST(|zOBS|))
Make a decision
3.
|zOBS| > zCRIT? p-value < α-level?
…then REJECT the NULL
5