SOLUTION: A sample mean, sample standard deviation, and sample size are given. Perform the required hypothesis test about the mean, μ, of the normal population from which the sample was dra

Question 1188005: A sample mean, sample standard deviation, and sample size are given. Perform the required hypothesis test about the mean, μ, of the normal population from which the sample was drawn.
H0: μ ≥ 10, Ha: μ < 10,
x=9.2, s = 1.2, n = 12, α = 0.01
Answer by Boreal(15235) (Show Source): You can put this solution on YOUR website!
One tailed test
alpha=0.01 p{reject Ho|Ho true}
test statistic is a t (0.99, df=11)
critical value is t<-2.718
t=(9.2-10)/1.2/sqrt(12)
=-0.8*sqrt(12)/1.2
=-2.31
fail to reject Ho; insufficient evidence to reject Ho at 1% level.
p-value=0.021

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