You wish to test the following claim (HaHa) at a significance
level of α=0.002α=0.002.
You believe the population is normally distributed, but you do not know the standard deviation. You obtain a sample of size n=13n=13 with mean M=73.5M=73.5 and a standard deviation of SD=13.4SD=13.4.
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...
the given information as follows:
sample size = n = 13
sample mean = = 73.5
Sd = S = 13.4
the given null and alternative hypothesis:
significance level = = 0.002
since population standard dviation is not known so we use t-distribution
degree of freedom df = n-1 = 13-1 = 12
p value with t = 1.399 and 12df for two taile = 0.1871
p vaue is greater than
so, fail reject the null hypothesis
There is not sufficient sample evidence to support the claim that the population mean is not equal to 68.3.
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