Mathematics, 10.12.2021 21:10 idcbrooo
A sample mean, sample size, and population standard deviation are given. Use the one-mean z-test to perform the required hypothesis test about the mean, μ, of the population from which the sample was drawn.
x-bar = 25, n = 60, σ = 1.5, H0: μ = 22; Ha: μ ≠ 22, α = 0.05
a. Reject H0 if z < -1.96 or z > 1.96; z = 15.49; therefore reject H0 and conclude that μ ≠ 22.
b. Reject H0 if -1.96 < z < 1.96; z = 15.49; therefore do not reject H0.
c. The data do not provide sufficient evidence to support Ha: μ ≠ 22.
d. Reject H0 if z < -1.645 or z > 1.645; z = 15.49; therefore reject H0 and conclude that μ ≠ 22.
e. Reject H0 if -1.645 < z < 1.645; z = 15.49; therefore do not reject H0.
f. The data do not provide sufficient evidence to support Ha: μ ≠ 22.
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