You wish to test the following claim (Ha) at a significance
level of α=0.10.
You believe the population is normally distributed, but you do not know the standard deviation. You obtain a sample of size n=9 with mean M=53.6 and a standard deviation of SD=5.1.
What is the p-value for this sample? (Report answer accurate to four decimal places.)
The p-value is...?
This p-value leads to a decision to...?
As such, the final conclusion is that...?
This is the two tailed test .
Test statistic = t
= ( - ) / s / n
= (53.6 - 56.1) /5.1 / 9
P(z < -1.47) = 0.0708
df = 8
P-value = 0.1798
Fail to reject the null hypothesis .
There is not sufficient evidence to warrant rejection of the claim that the population mean is not equal to 56.1.
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