Solution:
We are given the test as H0: µ ≥ 10 versus H1: µ < 10.
This is a lower tailed test.
α = 0.05
Critical Z value = -1.6449
(by using z-table)
Rejection region is X̄ < 7.9.
X̄ = µ + Z*SE
7.9 = 10 - 1.6449*SE
SE = (7.9 - 10)/(-1.6449) = 1.276673
For α = 0.01 or 1%
Z = -2.3263
(by using z-table)
X̄ = µ + Z*SE
X̄ = 10 - 2.3263*1.276673
X̄ = 7.030076
The rejection region for a 1% level test is X̄ < 7.0.
The rejection region for a 5% level test of Ho: U2 10 versus H4:<10 is X...
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