Suppose you want to test the claim that
μ 1 < μ 2. Assume the two
samples are random and independent. At a level of significance of α
= 0.05, when should you reject H 0?
Population statistics: σ 1 = 2.9 and
σ 2 = 2.8
Sample statistics: x bar 1 = 28.85,
n 1 = 35 and
xbar 2 = 31.4,
n 2 = 42
1)
Reject H0 if the standardized test statistic is
less than -2.575.
2)
Reject H0 if the standardized test statistic is
less than -1.96.
3)
Reject H0 if the standardized test statistic is
less than -1.645
4)
Reject H0 if the standardized test statistic is
less than -2.33.