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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