Math Problem Statement
You wish to test the following claim (H-alpha) at a significance level of alpha=0.01.
H-naught: mu=64.1
H-alpha: mu<64.1
You believe the population is normally distributed, but you do not know the standard deviation. You obtain the following sample of data:
data
71.3
63.3
44.2
48.5
What is the test statistic for this sample? (Report answer accurate to 3 decimal places.)
test statistic =
What is the P-value for this sample? (Report answer accurate to 3 decimal places.)
P-value =
The P-value is...
less than (or equal to)
greater than
This test statistic leads to a decision to...
reject the null
fail to reject the null
As such, the final conclusion is that...
The sample data support the claim that the population mean is less than 64.1.
There is not sufficient sample evidence to support the claim that the population mean is less than 64.1.
Solution
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Math Problem Analysis
Mathematical Concepts
Hypothesis Testing
One-sample t-test
Statistical Inference
Formulas
t-test statistic formula
Theorems
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Suitable Grade Level
College