This

**preview**shows half of the first page. to view the full**2 pages of the document.**Critical Region Method:

Ex: µ = 41 ; x = 47 ; σ = 35 ; α = 0.05 ; n = 40̄

H0: µ = 41

H1: µ > 41

P(z < ?) = 0.05

z0 = 1.645 1 – 0.05 = 0.95

z =

̄

x−µ

σ

√

n

=

47−41

35

√

40

= 1.08 (test statistic)

Now compare test stat to critical value

Therefore, do NOT reject

Ex: µ = 19 ; x = 18.5 ; s = 3.2 ; α = 0.05 ; n = 51̄

H0: µ = 19

H1: µ < 19

t0 = -1.676

test stat: t =

̄

x−µ

s

√

n

=

18.5−19

3.2

√

51

= -1.116

Therefore, do NOT reject

**Critical vs traditional z/t testing; Critical involves comparing two critical values, traditional

involves evaluating a range of P-values (0.125 < P-value < 0.250).

area 0.05

###### You're Reading a Preview

Unlock to view full version