You wish to test the following claim (HaHa) at a significance
level of α=0.02.
You believe the population is normally distributed, but you do not know the standard deviation. You obtain a sample of size n=67 with mean M=54.6 and a standard deviation of SD=20.4.
What is the test statistic for this sample? (Report answer accurate to three decimal places.)
test statistic = ______________
What is the p-value for this sample? (Report answer accurate to four decimal places.)
p-value = __________
The p-value is...
This test statistic leads to a decision to...
As such, the final conclusion is that...
t = ( M - ) / ( S / sqrt(n) )
= (54.6 - 63.1) / (20.4 / sqrt(67) )
From T table,
with test statistics -3.411 and df of 66,
p-value = 0.0006
The p-value is less than (or equal to )
This test statistics leads to decision to reject the null
There is sufficient evidence to warrant rejection of the claim that the population mean is less than 63.1.
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