SOLUTION: You wish to test the following claim (Ha) at a significance level of α=0.01. Ho:μ=54.4 Ha:μ<54.4 You believe the population is normally distributed, but you do not know the

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Question 1158344: You wish to test the following claim (Ha) at a significance level of α=0.01.
Ho:μ=54.4
Ha:μ<54.4
You believe the population is normally distributed, but you do not know the standard deviation. You obtain a sample of size n=25 with mean M=42.1
and a standard deviation of SD=15.4.
What is the p-value for this sample? (Report answer accurate to four decimal places.) p-value = ________.
The p-value is...
a)less than (or equal to) α
b)a greater than α
This p-value leads to a decision to...
a)reject the null
b)accept the null
c)fail to reject the null
As such, the final conclusion is that...
a)There is sufficient evidence to warrant rejection of the claim that the population mean is less than 54.4.
b)There is not sufficient evidence to warrant rejection of the claim that the population mean is less than 54.4.
c)The sample data support the claim that the population mean is less than 54.4.
d)There is not sufficient sample evidence to support the claim that the population mean is less than 54.4.
Answer by Boreal(15235) (Show Source):
You can put this solution on YOUR website!
p-value is 0.0003
less than alpha
reject the null
the sample data support the claim that mu < 54.4
without the calculator, t(df=0.995, df=24)=(x bar- mean)/15.4/sqrt(25)
=-/(15.4/5)
t=-3.99